Regiments


This page will list out the short names, symbol, verf shape, number of vertices in parentheses, and number of uniform members of each of the uniform regiments (many with a list of the members) - I hope to eventually get this list up to the eighth dimension. A regiment is a group of polytopes that share the same edge structure - therefore their vertex figures share the same vertices.

Regiments of 0, 1, and 2 Dimensions

Point - . - null verf (1) - 1 member - this is just a single point (zero dimensions).

Dyad - x - point verf (2), 1 member - line segment (one dimension).

Trig - ox - this and all polygons have a dyad verf (3)- 1 member - this is the triangle, also called trigon or equit (George Olshevsky), this one and the ones below are 2-D.

Square - o'x = x x (4 vertices) - 1 member.

Peg - o^x (5) - 1 member - this is the pentagon.

Star - o*x (5) - 1 member. - also called pentagram.

Hig - o6x = xx (6) - 1 member - this is the hexagon.

Heg - o7x (7) - 1 member - this is the heptagon.

Hag - o7*x (7) - 1 member - this is the heptagram or 7/2-gon.

Gahg - o7**x (7) - 1 member - this is the 7/3-gon.

Oc - o8x = x'x (8) - 1 member - this is the octagon.

Og - o8*x = x"x (8) - 1 member - this is the octagram.

Dec - x^x (10) - 1 member - this is the decagon.

Dag - x*'x (10) - 1 member - this is the decagram.

N-gon - oNx (N) - 1 member.

2N-gon - xNx (2N) - 1 member.



Regiments of 3 Dimensions

Tetrahedral and Cubics

Tet - oox = oo's = s s s - equit verf (4) - 1 member.

Tut - oxx - isot (isosceles triangle) verf (12) - 1 member.

Cube - oo'x = o'x x = x x x - equit verf (8) - 1 member.

Oct - xo'o = oxo = ss s - square verf (6) - 2 members, other member is thah.

Co - ox'o = xox - rectangle verf (12) - 3 members, other members are oho and cho.

Tic - ox'x - isot verf (24) - 1 member.

Toe - xx'o = xxx - isot verf (24) - 1 member.

Sirco - xo'x - trapezoid verf (24) - 3 members, other members are socco and sroh.

Girco - xx'x - scalene triangle verf (48) - 1 member.

Snic - ss's - isosceles pentagon verf (24) - 1 member.

Quith - ox"x - isot verf (24) - 1 member.

Quitco - xx"x - scalene verf (48) - 1 member.

Gocco - (o'x"x) = (xo'x") = (ox"x') - trapezoid verf (24) - 3 members, other members are querco and groh.

Cotco - (x'x"x) = (xx'x") = (xx"x') - scalene verf (48) - 1 member.


Dodecahedrals

Doe - oo^x - equit verf (20) - 1 member.

Ike - xo^o = sss = ss'o - pentagon verf (12) - 2 members, other member is gad.

Sissid - o^o*x - pentagon verf (12) - 2 members, other member is gike.

Gissid - oo*x - equit verf (20) - 1 member.

Id - ox^o - rectangle verf (30) - 3 members, others are sidhid and seihid.

Did - o*x^o - rectangle verf (30) - 3 members, others are sidhei and gidhei.

Gid - o*xo - rectangle verf (30) - 3 members, others are gidhid and geihid.

Sidtid - (oo*x) = (o*xo) - ditrigon verf (20) - 3 members, others are ditdid and gidtid, theres also the 5-cube compound member "rhom".

Tid - ox^x - isot verf (60) - 1 member.

Ti - xx^o - isot verf (60) - 1 member.

Tigid - o*x^x - isot verf (60) - 1 member.

Tiggy - o*xx - isot verf (60) - 1 member.

Quit Sissid - x*'x^o - isot verf (60) - 1 member.

Quit Gissid - x*'xo - isot verf (60) - 1 member.

Srid - xo^x - trapezoid verf (60) - 3 members, others are saddid and sird.

Raded - x*o^x - trapezoid verf (60) - 3 members, others are ided and ri.

Gidditdid - (o^x*'x) = (xo^x*') = (ox*'x^) - trapezoid verf (60) - 3 members, others are giid and giddy.

Gaddid - (o*x*'x) = (xo*x*') = (ox*'x*) - trapezoid verf (60) - 3 members, others are qrid and gird.

Siid - (o*xx) = (xo*x) - trapezoid verf (60) - 3 members, others are sidditdid and siddy.

Grid - xx^x - scalene verf (120) - 1 member.

Quitdid - x*'x^x - scalene verf (120) - 1 member.

Gaquatid - x*'xx - scalene verf (120) - 1 member.

Idtid - (x^x*'x) - scalene verf (120) - 1 member.

Snid - ss^s - isosceles pentagon verf (60) - 1 member.

Siddid - s*s^s - irregular pentagon verf (60) - 1 member.

Gosid - s*ss - isosceles pentagon verf (60) - 1 member.

Isdid - s*'s^s - irregular fish shape verf (60) - 1 member.

Gisid - s*'ss - fish shape verf (60) - 1 member.

Girsid - s*'s,s - isosceles star verf (60) - 1 member.

Sided - (s^s*'s) - irregular fish verf (60) - 1 member.

Gisdid - (s*s*'s) - irregular fish verf (60) - 1 member.

Seside - (s*ss) = ss^o - isosceles ditrigon verf (60) - 1 member.

Sirsid - (s*'s,s) - star with pedistal verf (60) - 1 member.

Gidrid - [s*s,s*'s] - isosceles hitch-hatched 8-sided verf (60) - 1 member plus two compound members which are dasi and sapisseri.


Prisms

Trip - ox x - isot verf (6) - 1 member.

Pip - o^x x - isot verf (10) - 1 member.

Hip - xx x - isot verf (12) - 1 member.

Op - x'x x - isot verf (16) - 1 member.

Dip - x^x x - isot verf (20) - 1 member.

Stip - o*x x - isot verf (10) - 1 member.

Stop - x"x x - isot verf (16) - 1 member.

Stiddip - x*'x x - isot verf (20) - 1 member.

Squap - s's s - trapezoid verf (8) - 1 member.

Pap - s^s s - trapezoid verf (10) - 1 member.

Stap - s*s s - trapezoid verf (10) - 1 member.

Starp - s*'s s - necktie verf (10) - 1 member.



Regiments of 4 Dimensions

Pentachorics

Pen - ooox - tet verf (5) - 1 member.

Tip - ooxx - trigon pyramid verf (20) - 1 member.

Rap - ooxo - trigon prism verf (10) - 3 members, others are firp and pinnip.

Deca - oxxo - sphenoid verf (30) - 1 member.

Srip - oxox - wedge verf (30) - 7 members, others are rawvtip, sirdop, pirpop, garpop, pippindip, and pinnipdip.

Grip - oxxx - scalenoid (tetrahedron with 2 identical scalenes and two different isots) verf (60) - 1 member.

Gippid - xxxx - twisted disphenoid verf (120) - 1 member.

Spid - xoox - trigon antiprism verf (20) - 5 members, others are piphid, duhd, phud, and nipdip.

Prip - xoxx - trapezoid pyramid (trapyr for short) verf (60) - 3 members, others are pittip and ripdip.


Tessics and Related

Tes - ooo'x = oo'x x = o'x o'x = o'x x x = x x x x - tet verf (16) - 1 member.

Hex - xoo'o = x8o = o6o = ooo's = s s s s - oct verf (8) - 2 members, other is tho.

Ico - oxo'o = oo'ox = o9o - cube verf (24) - 14 members plus one compound member. Others are ihi, oh, shahoh, hohoh, huhoh, ghahoh, ohuhoh, ratho, odho, hodho, hoh honho, dod honho, and doh honho - compound member is gico (3 tesseract compound).

Rit - oox'o = x8x = o6x - trigon prism verf (32) - 5 members, others are firt, hinnit, sto, and gotto.

Tat - oox'x - trigon pyramid verf (64) - 1 member.

Thex - xxo'o = x9o = o$o - square pyramid verf (48) - 2 members, other is titho.

Srit - oxo'x - wedge verf (96) - 7 members, others are rawvatoth, sirdo, spript, garpit, pattinoth, and pinpith.

Rico - xox'o = oo'xo = x6x - trigon prism verf (96) - 7 members, others are rawvhitto, sirth, frico, gardoh, ini, and hinpith.

Tah - oxx'o = x9x = o$x - disphenoid verf (96) - 1 member.

Grit - oxx'x - scalenoid verf (192) - 1 member.

Tico - xxx'o = oo'xx = x$x - trigon pyramid verf (192) - 1 member.

Gidpith - xxx'x - irregular tet verf (384) - 1 member.

Sidpith - xoo'x - trigon anipodium verf (64) - 8 members, others are stefacoth, shafipto, steth, dippit, snappoth, snipto, and iquipadah and there's a compound "quasimember" (lacks some of the edges) it is the compound of 2 odips.

Ondip - ??? - blend of two sidpith verfs (128) - 2 uniform members, other member is sidtindip, it also has a fissary member sidtafdip, 10 scaliform members if we include the quasimembers (which are technically outside the regiment), plus 8 fissary scaliforms.

Prit - xxo'x - trapyr verf (192) - 3 members, others are sichado and sirpdo.

Proh - xox'x - trapyr verf (192) - 3 members, others are siphado and sirpith.

Sadi - sss'o = oo'ss = sSs - tridiminished ike verf (96) - 1 member.

Quitit - oox"x - trigon pyr verf (64) - 1 member.

Wavitoth - (o'x"x)o - wedge verf (96) - 7 members, others are qrit, girdo, gapript, gaqript, dippanoth, and pinnatoth.

Gaqrit - oxx"x - scalenoid verf (192) - 1 member.

Thatoth - o(x'x"x) - scalenoid verf (192) - 1 member.

Thaquitoth - (x'x"x)o - scalenoid verf (192) - 1 member.

Gittith - o(o'x"x) - trigon podium verf (64) - 8 members plus one compound pseudomember, others are quidpith, picnut, gittifcoth, gahfipto, gnappoth, gnipto, and gaquipadah - pseudomember is the compound of 2 stodips (octagram duoprisms).

Gondip - ??? - blend of two gittith verfs (128) - 2 members (other is gidtindip), a fissary member (gidtafdip), 10 scaliform members (includes quasimembers), plus 8 scaliform fissaries.

Gaquidpoth - xxx"x - irregular tet verf (384) - 1 member.

Thatpath - x(x'x"x) - irregular tet verf (384) - 1 member.

Thaquitpath - (x'x"x)x - irregular tet verf (384) - 1 member.

Quiproh - xox"x - trapyr verf (192) - 3 members, others are giphado and girpith (which both have holes in them).

Gichado - (o'x"x)x - trapyr verf (192) - 3 members, others are paqrit and girpdo.

Skiviphado - x(o'x"x) - skewed wedge verf (192) - 15 members, others are kavahto, gikviphado, kaviphdit, sik vipatoth, kavadipdit, sik vapippith, kavitpo, gik vapippith, kaviptit, gik vipatoth, sik vadiphto, kavatiphado, gik vadiphto, and kevdiphato.

Rasdi - sss"o = oo"s,s - 'dual of tridiminished ike' verf (96) - 1 member.

Rappisdi - (s'oo"s,) - trigonal faceting of sidtid verf (96) - 3 members, others are sirhapsippady and girhapsippady - there's also a scaliform member.


Icoics

Srico - ox'ox - wedge verf (288) - 7 members, others are rawvaty, sirdi, spirdy, gardi, dindi, and inipdi.

Cont - ox'xo - sphenoid verf (288) - 1 member.

Grico - ox'xx - scalenoid verf (576) - 1 member.

Gippic - xx'xx - twisted disphenoid verf (1152) - 1 member.

Spic - xo'ox - square antiprism verf (144) - 20 members plus 2 fissary members and a compound. Other members are siddic, sripic, smiffadic, offadic, sandic, lifpic, sirc, ipi, inpac, picni, ridi, irnic, dipdi, sarnipadi, dirpidic, pifficdi, dinpi, dinic, and inpic - the fissaries are dupapadi and nadupti. The compound is of 6 sirdoes.

Prico - xo'xx - trapyr verf (576) - 3 members, others are sipti and sirpdi.

Wavaty - o(x'ox") - wedge verf (288) - 7 members, others are qrico, girdi, gapirdy, gaquerdy, pindi, and inti.

Gic - ox"xo - sphenoid verf (288) - 1 member.

Gaqri - ox"xx - scalenoid verf (576) - 1 member.

Iquatoc - o(x'xx") - scalenoid verf (576) - 1 member.

Giddic - (ox"xo') - square antiprism verf (144) - 20 members plus 2 fissaries and a compound (6 girdoes). Other members are quippic, gripic, gamfaddic, ofpic, gandic, lifdic, girc, idi, inic, dapni, ripi, irnpac, pic, garnipadi, dirpicdi, ifpic, ipindi, pinic, and incdi - fissaries are dupti and nadupapdi.

Gaquapac - xx"xx - twisted disphenoid verf (1152) - 1 member.

Iquatpic - x(x'xx") - irregular tet verf (1152) - 1 member.

Doc - (xx"xx') - twisted disphenoid verf (1152) - 1 member.

Croc - (x'(x"x)'x) - twisted disphenoid verf (1152) - 1 member.

Coqroc - (x"(x'x)"x) - twisted disphenoid verf (1152) - 1 member.

Suti - (ox"xx') - trapyr verf (576) - 3 members, others are diquitdi and sirti.

Ditdi - (o'(x"x)'x) - trapyr verf (576) - 3 members, others are guti and girti.

Gipti - x(x'ox") - trapyr verf (576) - 3 members, others are paqri and girpdi.

Afdec - (o'(x"x)'o) - rectangle trapezoprism verf (288) - 53 members, plus one fissary (affic) and one compound (affip), other members are girfaddic, ifdic, sirfaddic, rafdic, riftic, aftic, rafficdi, afti, rifti, afcuti, sirfpic, girfpic, afpaddic, gafpaddic, gafcappic, safcappic, sirfipdi, girfipdi, sirfpicti, girfpicti, sifpicti, gifpicti, safputi, gafputi, swifti, gwifti, snifti, gannifti, sif citi, gif citi, gifcuti, sifcuti, girfcuti, sirfcuti, girfopi, sirfopi, gifopi, sifopi, sirfipti, girfipti, girfupti, sirfupti, srifupti, grifupti, sifpacuti, gifpacuti, snifpacuti, gannifpacuti, sirfpacuti, girfpacuti, srifpacuti, grifpacuti (I usually refer to the last eight as the "pacutis").


Hyics

Hi - ooo^x - tet verf (600) - 1 member.

Ex - xoo^o - ike verf (120) - 5 members, others are fix, gohi, gahi, and sisp.

Sishi - oo^o*x - doe verf (120) - 22 members plus 4 fissaries plus 5 (perhaps more) compounds. Other members are gaghi, sidtixhi, dittady, gidtixhi, idhi, paphicki, paphacki, ofiddady, gridixhi, didhi, sridixhi, sridaphi, gridaphi, dophi, radophi, sphix, spiddit, sispatit, gispatit, spittid, and spaxhi (the last six are swirlprisms). Fissaries are sitpodady, gitpodady, ditsop, and tipsop. Compounds include the 25-ico (gex), 25-ihi-version 1 (sixhix), 25-ihi-version 2 (gixhix), 75-tes (cac), and spidy (a swirl-compound of 24 starpendips).

Gishi - o^oo*x - ike verf (120) - 5 members, others are gashi, gofix, gax, and gisp.

Gogishi - ooo*x - tet verf (600) - 1 member.

Thi - oox^x - trigon pyr verf (2400) - 1 member.

Tex - xxo^o - pentagon pyr verf (1440) - 2 members, other is tiffix.

Tighi - o^o*x^x - pentagon pyr verf (1440) - 2 members, other is taghi.

Tigaghi - oo*x^x - trigon pyr verf (2400) - 1 member.

Tigfix - xx*o^o - pentagon pyr verf (1440) - 2 members, other is taggix.

Quit Sishi - oo^x*'x - trigon pyr verf (2400) - 1 member.

Quit Gishi - o^ox*'x - pentagon pyr verf (1440) - 2 members, other is quit gashi.

Quit Gogishi - oox*'x - trigon pyr verf (2400) - 1 member.

Tissidtixhi - (oo*x)x - ditrigon pyr verf (2400) - 3 members plus one compound member (25-ticoes or togex), other members are tidtidohi and tiggidtixhi.

Rahi - oox^o - trigon prism verf (1200) - 3 members, others are fry and shinhi.

Rasishi - oo^x*o - trigon prism verf (1200) - 3 members, others are firsashi and hinhi.

Ragaghi - oo*x^o - trigon prism verf (1200) - 3 members, others are firgaghi and mohiny.

Rigogishi - oox*o - trigon prism verf (1200) - 3 members, others are firgogishi and gohiny.

Rox - oxo^o - pentagon prism verf (720) - 15 members, others are rofix, sophi, sprapivady, frox, rixhi, sriphi, ipixady, lifpipixhi, nipixady, som fapathi, sofapathi, smiffipathi, paphiny, and sirphinady.

Righi - o^o*x^o - pentagon prism verf (720) - 15 members, others are raghi, papvixhi, giprapivady, froghi, ridhei, mriphi, sipathi, lifpixady, snipathi, mom fapathi, gofapathi, mim fipathi, pixhiny, and girphinady.

Ragishi - o^ox*o - pentagon prism verf (720) - 15 members, others are ragashi, spapivady, prap vixhi, frogshi, rihix, griphi, mipathi, sliffipathi, minnipathi, gom fapathi, ofapaxady, gam fipathi, spidhiny, and irp xanady.

Rigfix - ox*o^o - pentagon prism verf (720) - 15 members, others are raggix, gippapivady, quiphi, frogfix, ripahi, graphi, gipathi, gliffipathi, ganipathi, omfapaxady, ofpipixhi, mif pixady, gipdohiny, and irp panady.

Srahi - oxo^x - wedge verf (3600) - 7 members, others are srawvixady, sirdhi, spriphi, garphi, phinxhi, and pinpixhi.

Srix - xox^o - wedge verf (3600) - 7 members, others are srawv hixhi, rassixhi, pirsady, garsixhi, sid hinxhi, and hinpixhi.

Sirfix - xo^x*o - wedge verf (3600) - 7 members, others are srawvathi, rashihy, sprahihy, garady, sid hinady, and hinipady.

Sirsashi - ox^o*x - wedge verf (3600) - 7 members, others are mrawv hixhi, rashix, pirsixhi, garsady, sixhinady, and shinipady.

Sirghi - o^x*o^x - wedge verf (3600) - 7 members, others are srawv hidy, rassady, pirshix, garshix, shixanady, and sixnapady.

Sraghi - x^ox*o - wedge verf (3600) - 7 members, others are rawvathi, sirhihy, pirdy, garhihy, dohinady, and hinhiphi.

Sirgaghi - ox*o^x - wedge verf (3600) - 7 members, others are grawv hixhi, raghix, pirgixhi, gargady, gixhinady, and ghinipady.

Sirgashi - o*x^o*x - wedge verf (3600) - 7 members, others are grawv hidy, raggady, pirghix, garghix, ghixanady, and gixnapady.

Sirgax - xox*o - wedge verf (3600) - 7 members, others are garawv hixhi, raggixhi, pirgady, gargixhi, gid hinxhi, and hin phix.

Swav Ditathi - (o^x*'x)^o - wedge verf (3600) - 7 members, others are grawvathi, shidy, sirthi, sisady, dohine dattidy, and shinathi.

Wavhiddix - (o*xx)o - wedge verf (3600) - 7 members, others are rawvid tixady, shixhi, sirxady, sidahi, dohinahix, and hin hiddix.

Gwav Ditathi - (^ox*'x)o - wedge verf (3600) - 7 members, others are grawvixady, gixady, girhixhi, gigady, xhin dattidy, and mohinathi.

Swavixady - (*oxx)o - wedge verf (3600) - 7 members, others are srawv ditathi, sixady, sirhixhi, sigady, gid hinady, and hind tixady.

Wavdatixady - (o^x*'x)o - wedge verf (3600) - 7 members, others are rawvhiddix, ghixhi, girxady, gidahi, gixhinxhi, and hinxady.

Swavathi - (o*xx)*o - wedge verf (3600) - 7 members, others are grawv ditathi, ghidy, girthi, gisady, gad hinady, and hind tathi.

Wavathi - (o*x*'x)^o - wedge verf (3600) - 7 members, others are qragishi, girhihy, pirhihy, gaqrahihy, sophinady, and ghinathi.

Gwavixady - (o*x*'x)o - wedge verf (3600) - 7 members, others are qrigogishi, girdhi, gipriphi, gaqriphi, dapinxhi, and pinxady.

Gwavathi - (*ox*'x)^o - wedge verf (3600) - 7 members, others are qrigfix, raghihy, gaprahihy, gaqrady, gophinady, and gahinathi.

Xhi - oxx^o - disphenoid verf (3600) - 1 member.

Shihi - ox^x*o - disphenoid verf (3600) - 1 member.

Dahi - o^xx*o - disphenoid verf (3600) - 1 member.

Gixhi - oxx*o - disphenoid verf (3600) - 1 member.

Ghihi - ox*'x^o - disphenoid verf (3600) - 1 member.

Grahi - oxx^x - scalenoid verf (7200) - 1 member.

Grix - xxx^o - scalenoid verf (7200) - 1 member.

Girfix - xx^x*o - scalenoid verf (7200) - 1 member.

Graghi - o*xx^x - scalenoid verf (7200) - 1 member.

Graggix - xxx*o - scalenoid verf (7200) - 1 member.

Gaqrigaghi - ox*'x^x - scalenoid verf (7200) - 1 member.

Gaqrigafix - xx*'x^o - scalenoid verf (7200) - 1 member.

Gaqrisashi - ox^x*'x - scalenoid verf (7200) - 1 member.

Gaqrigagishi - oxx*'x - scalenoid verf (7200) - 1 member.

Gaqrigashi - o^xx*'x - scalenoid verf (7200) - 1 member.

Hixthix - o(x^x*'x) - scalenoid verf (7200) - 1 member.

Dahitady - o*(x^x*'x) - scalenoid verf (7200) - 1 member.

Hihiquatady - o(x*'xx^) - scalenoid verf (7200) - 1 member.

Dahiquatady - o^(x*'x^x) - scalenoid verf (7200) - 1 member.

Hixquathix - o(x*'x^x) - scalenoid verf (7200) - 1 member.

Sidpixhi - xoo^x - trigon antipodium verf (2400) - 7 members, others are shif phix, six fipady, sixhihy, paphi, snapaxhi, and snappady.

Siddapady - x^oo*x - trigon antipodium verf (2400) - 7 members, others are hi fipady, mohi fipady, tahi, daphi, snaphihy, and gnaphihy.

Sabbadipady - [x*'[x^oo]*x] - 'trigon antipodium blended with pyramid' verf (2400) - 12 members plus 4 fissaries and one compound. Other members are gabbadipady, sabippady, gabippady, sabbathi, gabbathi, sanbippady, ganbippady, sanbathi, ganbathi, bathi, and badohi. Fissaries are badipady, bithi, sabipthi, and gabipthi. The compound of quit sishi and tigaghi is called buthi.

Sadixady - (xoo*x) - trigon antipodium verf (2400) - 7 members, others are six fixady, shi fixady, sidthixhi, hihix, snathi, and sanhiddix.

Gixhidy - (o^x*'xo) - trigon antipodium verf (2400) - 7 members, others are gohi fohixhi, gaxifthi, gohihix, hidy, ganxady, and gun hidy.

Gidthixhi - o(o^x*'x) - trigon podium verf (2400) - 7 members, others are gadixady, xhinhi, gix fixady, gohi fixady, gnathi, and ganhiddix.

Gixhihy - o(o*x*'x) - trigon podium verf (2400) - 7 members, others are quidpixhi, dippany, ghif phix, gix fipady, ganpixhi, and gnappady.

Shihix - o(o*xx) - trigon podium verf (2400) - 7 members, others are sixhidy, hihiny, shi fohixhi, saxifthi, snaxady, and sun hidy.

Gidpixhi - xxx^x - irregular tet verf (14400) - 1 member.

Gaquidipdy - xx*'x^x - irregular tet verf (14400) - 1 member.

Goquidipdy - xx^x*'x - irregular tet verf (14400) - 1 member.

Gaquidphihi - x^xx*'x - irregular tet verf (14400) - 1 member.

Gaquidapixhi - xxx*'x - irregular tet verf (14400) - 1 member.

Hixtaphix - x(x^x*'x) - irregular tet verf (14400) - 1 member.

Dohitipady - x(x*'xx^) - irregular tet verf (14400) - 1 member.

Hixquitphix - x(x*'x^x) - irregular tet verf (14400) - 1 member.

Sidhiquit Paddy - x^(x*'x^x) - irregular tet verf (14400) - 1 member.

Gidhiquit Paddy - x*'(x^x*'x) - irregular tet verf (14400) - 1 member.

Xithi - (x^x*'xx) - irregular tet verf (14400) - 1 member.

Prahi - xxo^x - trapyr verf (7200) - 3 members, others are spixady and sripady.

Prix - xox^x - trapyr verf (7200) - 3 members, others are spixhihy and sirpaxhi.

Pirshi - xx^o*x - trapyr verf (7200) - 3 members, others are sphihix and sriphix.

Pirghi - x^x*o^x - trapyr verf (7200) - 3 members, others are siphidy and sirphihy.

Pirgaghi - xx*o^x - trapyr verf (7200) - 3 members, others are giphihix and griphix.

Quippirfix - xo^x*'x - trapyr verf (7200) - 3 members, others are gipthi and rappady.

Quippirgashi - x*'x^o*x - trapyr verf (7200) - 3 members, others are giphidy and girphihy.

Quippirghi - x^ox*'x - trapyr verf (7200) - 3 members, others are gapthi and raphihy.

Quippirgax - xox*'x - trapyr verf (7200) - 3 members, others are gippixhihy and girpixhi.

Mipthi - x^(x*'x*o) - trapyr verf (7200) - 3 members, others are paqrigshi and marphihy.

Sipthi - x^(x*'xo*) - trapyr verf (7200) - 3 members, others are paqrigafix and mirpady.

Gippixady - x(x*'x*o) - trapyr verf (7200) - 3 members, others are paqrigagishi and gripady.

Hixtixhi - (x^(x*'x)o*) - trapyr verf (7200) - 3 members, others are gixathi and grithi.

Hixady - (x^x*'xo) - trapyr verf (7200) - 3 members, others are xhidy and rixady.

Sixathi - (o^x*'xx) - trapyr verf (7200) - 3 members, others are hixquitixhi and srithi.

Gid Tipathi - x(x*'xo^) - trapyr verf (7200) - 3 members, others are giphixhi and gasixady.

Gid Thipady - x^(x*'x^o) - trapyr verf (7200) - 3 members, others are ghipady and ghiyay.

Gixipady - x(x*'x^o) - trapyr verf (7200) - 3 members, others are giphiddix and gigixady.

Sphixhi - x(xxo*) - trapyr verf (7200) - 3 members, others are sid tipathi and sigixady.

Shipady - x*'(xx*o) - trapyr verf (7200) - 3 members, others are sid thipady and shiyay.

Sphiddix - x(xx*o) - trapyr verf (7200) - 3 members, others are sixipady and sasixady.

Gik Vixathi - (x(o*x)*'x) - skew wedge verf (7200) - 15 members, others are gikkiv datixathi, gikkiv datapixady, gik vadixady, gik vohixady, gik viphidy, gik vidhiddix, gik vaphixhi, gik vaphiddix, gik vixhidy, gikkiv pixady, gikkiv padixathi, gikkiv pathiddix, gikkiv dixathi, and gikkiv pixathi.

Sik Vipathi - x^(o*x*'x) - skew wedge verf (7200) - 15 members, others are kevuthi, gik vipathi, kavipathi, mik vipathi, kavidipady, skiv pappady, kavitaphi, gikkiv pappady, kavaphidy, gak vipathi, sik vadipthi, kavatipathi, gik vadipthi, and kavadapthi.

Skiv Datapixady - x(o^x*'x) - skew wedge verf (7200) - 15 members, others are skiv datixathi, sik vixathi, sik vadixady, skiv pixady, sik viphidy, sik vaphiddix, sik vaphixhi, sik vidhiddix, sik vixhidy, sik vohixady, skiv dixathi, skiv pathiddix, skiv padixathi, and skiv pixathi.

Sidtaxhi - o(oo*x) - tut like verf (600) - 37 members plus 5 fissaries, others are sidtaxady, siddatady, sirdatady, sirdtaxady, siddatdahix, sridtathi, sidtadphi, sandit diphi, sidtapicax, sidtacphi, sadtip caxhi, sadtipacady, sand tapady, sarned thiphi, siddit paxhi, sirdtapady, sidtacady, sadticaxady, sridatady, sand tathi, sradditdahix, sadthixhi, sapditphi, sadtip xachi, sidtacpady, siddatchi, sadtaphix, sidtapady, sand thiphi, sarned tippady, sadthipady, sard thipady, sadtapaxady, sadtapthi, sadtipdohix, and sard tipthi. Fissaries are saquid paxhi (also called holey terror), sadtaf dapixhi, sadtaf dipdy, sadtifady, and sitphi.

Dattady - o(oox*) - tut like verf (600) - 37 members plus 4 fissaries and a compound, others are dattathi, giddatady, radatady, radatathi, mardatathi, ridatathi, raddit diphi, dittadphi, datcaphi, gidtacphi, datcapady, gidtacpady, ridatippady, gird tapady, dard tipady, gidard tipady, dittacady, dittacthi, ridatady, gridtathi, grad tathi, raquid tathi, grad tidaphi, ditpacady, gidtapacady, datchi, ridathiphi, gridathiphi, datappady, gidtappady, ridtapthi, gridtapthi, gidtapthi, dittapthi, redtapthi, and girdtapthi. Fissaries are quadippady, datfodippady, dittanfodipdy, and dittafady. The compound is dattix (60-deca).

Gadtaxady - (ooo*x) - golden cuboctahedron verf (600) - 37 members plus 5 fissaries, others are gardtaxady, gardatady, gadatady, gadtaxhi, gaid tathi, gaid tadhix, gadtadaphi, gand tadiphi, gadtapicax, gadtacphi, gadtap caxhi, gadtapacady, gadtardy, gardatathi, gard tadhix, gadathixhi, gapdatphi, gadtapaxchi, gadtacapady, gand tapady, gand thiphi, gardtapaxhi, gadathiphi, gadtacady, gadtacaxady, gadtachi, gadtaphix, gard tapady, grand thiphi, grand tapady, gadathipady, gadtad hiphi, gadtapixady, gardtapthi, gadtapdahix, and gadtapthi. Fissaries are quad pagaxhi, gadtaf dapixhi, gadtaf dipdy, gadtafady, and gitphi.

Affixthi - (o*(x*'x)o^) - rectangle-square trapezoprism verf (3600) - 99 members plus one fissary (affidhi) and one compound (affopix). Others are raffixthi, ifthi, afuthi, rufthi, rafxophi, afxophi, sirfixthi, girfixthi, safthi, gafthi, sirfthi, girfthi, safe xophi, gafe xophi, raffixady, raffipady, rafdohix, rafhiphi, afxuthi, afupthi, gafe xuthi, gafupthi, afdixthi, afpixthi, afthiddix, afpathix, sirfixady, girfipady, girfixady, sirfipady, girf duxthi, sirf puxthi, sirf duxthi, girf puxthi, gifduxthi, sifpuxthi, sifduxthi, gidpuxthi, gafdahixady, gafdahipady, safdahixady, safdahipady, swifthi, gwirfthi, swirfthi, gwifthi, snifthi, gannirfthi, snirfthi, gannifthi, gifuthix, gifixuthi, sifixuthi, sifuthix, gifxophi, gifophix, sifophix, sifxophi, girfxophi, girfophix, sirfophix, sirfxophi, garfophi, girfophi, mirfophi, sirfophi, gifophi, giffophi, miffophi, sifophi, raffipathi, rafthix, rafhippady, rafhixady, girfupthi, girfxuthi, sirfupthi, sirfxuthi, rifupthi, rifuthix, rifhipthi, rifxuthi, ifpixophi, ifophiddix, ifpophix, ifdixophi, nifpixophi, niffophiddix, nifpophix, nifdixophi, rafpixophi, raffophiddix, rafpophix, rafdixophi, rifpixophi, rifophiddix, rifpophix, and rifdixophi.

Padohi - xo^o*x - pentagon antipodium verf (1440) - 81 members and about that many fissaries. Other members are sidpixathi, sisdipthi, sidipthi, sidpadiphi, sidpixady, sidpaxhi, sidpixhixthi, siddip dipthix, sidpuxthi, sidpathihix, sidputhix, sidpathixhi, sidpid phixhi, sidphiddixady, sicdip pixthi, sibdip pixthi, sidpupthi, sidpip dixady, sidphixipthi, sidpid hipthi, sidpapixhi, sid pippady, sigdipthi, sad phiddix, sidphihix, snaddipthi, snid phiphi, snid pippady, sicdappixthi, sibdappixthi, sidpipthi, siddip phixhi, siddip xappady, sibed pipithi, side pixhidy, side phixady, snic dapixthi, snib dapixthi, sidphiphix, sidphipdy, sidpid hiddix, snidupthi, snidpid hiphi, sidphippixhi, sidpid pixady, sidpadiphdy, sicdiphip xady, sibdiphip xady, sidpiphithi, sidpithipix, sidpaddy dixhi, side pidhithi, sicdip pidhixhi, sibdip pidhixhi, sidpixthix, sidpathixhi, sidpaxid hidy, sidphixdahix, sicdip thipix, sibdip thipix, sidphixady, siddupthi, sidphithi, sidpid hixhi, sabdip xuthi, scaddip xuthi, scadupthix, sabdupthix, sidpathidy, sidpixhithi, sidphixthi, sidphiuthi, siddip puxthi, siddip xupthi, siddip puthix, siddip thipox, sidpipdyhix, siddip phidhix, siddip pathix, and siddip paxthi.

Gidipthi - o^(ox*'x*) - pentagon podium verf (1440) - 81 members and about that many fissaries. Other members are gisdipthi, gidpixathi, quipdohi, gidpixady, gidpadiphi, gidpaxhi, giddip dipthix, gidpixhixthi, gidpathihix, gidpuxthi, gidpathixhi, gidputhix, gidpid phixhi, gidphiddixady, gicdip pixthi, gibdip pixthi, gidpupthi, gidpip dixady, gidphixipthi, gidpid hipthi, gad phiddix, gigdipthi, gid pippady, gidpapixhi, gind pippady, gind phiphi, gandipthi, gidphihix, giddip phixhi, gidpipthi, gicdappixthi, gibdappixthi, gide phixady, gide pixhidy, gicad pipithi, giddip xappady, gidphipdy, gidphiphix, ganc dapixthi, ganb dapixthi, gidphippixhi, gandpid hiphi, gandupthi, gidpid hiddix, gicdiphip xady, gibdiphip xady, gidpadiphdy, gidpid pixady, gide pidhithi, gidpaddy dixhi, gidpithipix, gidpiphithi, gidpathixhi, gidpixthix, gicdip pidhixhi, gibdip pidhixhi, gicdip thipix, gibdip thipix, gidphixdahix, gidpaxid hidy, gidphixady, giddupthi, gidphithi, gidpid hixhi, gabdip xuthi, gacdip xuthi, gacdupthix, gabdupthix, gidphiuthi, gidphixthi, gidpixhithi, gidpathidy, giddip thipox, giddip puthix, giddip xupthi, giddip puxthi, gidpipdyhix, giddip phidhix, giddip pathix, and giddip paxthi.

Rissidtixhi - o(x*oo) - ditrigon prism verf (1200) - 157 members, a few fissaries, and a few compounds. Other members are ridtidohi, riggidtixhi, sidditdy, ridditdy, gidditdy, dittixdy, dittathi, todtixady, sidtid hihy, dithidy, gidtid hihy, middit dahixhi, dithithi, gaddit dahixhi, ridthidy, midthidy, ridtithi, gadthidy, siddit dahixhi, dutithi, giddit dahixhi, gidthihihy, dithihihi, sidthihihy, toditdy, sontaditdy, gontaditdy, sidtithi, midtithi, sidthidy, gidtithi, gidthidy, gadtithi, middit thix, siddit thix, gidthidy hi, gaddit thix, sidthidy hi, giddit thix, siddit thihi, sidthixady, gidthidhix, giddit thihi, sidthidhix, gidthixady, sidtuthi, sidthi hidy, gadtuthi, gidtuthi, midtuthi, gidthi hidy, sidtexhithi, sidthithix, dithiuthi, gidtexhithi, dittophi, gidthithix, sidtophi, gidtuthix, gidtuxthi, gidtophi, sidtuxthi, sidtuthix, sidthiuthi, gidthixady hi, gidthixhidy, gidthiuthi, sidthixhidy, sidthixady hi, stodatixhi, todtixhi, gotdatixhi, sidtixady, dathixhi, gidtixady, sidtixthi, midthixady, midtixthi, gidtixthi, gadtixthi, gadthixady, gadthixhihy, dit thix, midthixhihy, sidditpix, dithix, gidditpix, gotditpix, todithix, stoditpix, sidthicax, dithicax, gidthicax, sidtid xacady, ditxacthi, gidtid xacady, sidtoxicathi, dithixacady, gidtoxicathi, siddit thicdex, sidtid xacthi, siddit xucthi, giddit thicdex, giddit xucthi, gidtid xacthi, sidditpixhi, gadtixdy, gidditpixhi, sidthippixhi, ditxithi, gidthippixhi, giddit padixady, dituthix, siddit padixady, sirdtixthi, gidthiphix, gidtixhiphi, girdtixthi, sidtixhiphi, sidthiphix, sidtid hidixhi, sidditpid hiddix, giddit thipix, gidtid hidixhi, siddit thipix, gidditpid hiddix, siddit phixady, sidthihixady, sidtippid hixhi, giddit phixady, gidtippid hixhi, gidthihixady, siddit pixthix, sidtuxthix, gidtuthipix, giddit pixthix, sidtuthipix, gidtuxthix, siddit padixthi, siddit pathiddix, gidtid hixthi, giddit padixthi, sidtid hixthi, giddit pathiddix, sidtuthiddix, siddit thipdix, gidditphixthi, gidtuthiddix, sidditphixthi, giddit thipdix, sidtid xipthi, sidtiduxthi, gidditpathixhi, gidtid xipthi, sidditpathixhi, and gidtiduxthi.

Stut Phiddix - x(ox*o) - trigonal cupola verf (2400) - 79 members and about that many fissaries. Other members are stut pixady, stuttixady, sit thixady, stittathi, stut xethi, stutdahix, stut thix, stut dixady, stut xidhix, stut xhidy, stut xidhidy, stut padixhi, stut pathi, stutted hiddix, stut dahippix, stut phixhi, sit thidixhi, stitophi, stut xuthi, stututhi, stut pidhihix, stut pidhix, stut phidhix, sit thippady, stut pixthi, stut thiphi, stut pithix, stut pothi, stut tuhix, stut padixthi, stut xipthix, stut xuthix, stutted hidixady, sit thiddixthi, stut duxthi, stotut xidhi, stut pecox, stutapchi, stutacady, stut pixhi, stut paddy, stut daphi, stut dapexchi, stut poxicady, stut diphicax, stut podexchi, stut xacthi, stut doxicady, statupid hicadox, stut dixpacady, stutted hipcadex, stut pixacthi, statupid xacady, stut pathicax, stut dopixacady, stut phixacady, stut dapecthi, stut thipcax, stut pucthi, stut xapacthi, stut daphihix, sit thipdahix, stut dapixady, stut xidhipix, stut diphixhi, stutted phiddix, stut dahidphi, stut daphidy, stut depudy hi, stut pixipthi, stut pithipix, stut thipixox, stut dipdydix, stut daphixady, stut xupthi, stut xippady hi, stut phithi, and stut xiddipdy.

Getit Xethi - (o(x*o)x*') - trigonal cupola verf (2400) - 79 members and about that many fissaries. Other members are git thixady, getitathi, getit dixady, getitdahix, getit thix, getatixady, getit phiddix, getit pixady, getit dahiddix, getit padixhi, getit pathi, git thidixhi, getit dahippix, getit phixhi, getit xidhidy, getit xidhix, getit xhidy, getit phidhix, getit pidhihix, getit pidhix, getit thiphi, git thippady, getit pixthi, getituthi, getitophi, getit xuthi, getit tuhix, getit pithix, getit pothi, getitid hidixady, getit xuthix, getit duxthi, git thiddixthi, getit padixthi, getit xipthix, gitotut xidhi, getitpachi, getitacady, getit pecox, getit paddy, getit daphi, getit pixhi, getit podexchi, getit diphicax, getit doxicady, getit xacthi, getit dapexchi, getit poxicady, getit pixacthi, getitid hipcadex, getit pathicax, getitpid xacady, getitpid hicadox, getit dixpacady, getit thipcax, getit dapecthi, getit xapacthi, getit pucthi, getit dopixacady, getit phixacady, getit xidhipix, getit dapixady, getitid phiddix, getit diphixhi, getit daphihix, git thipdahix, getit depudy hi, getit dahidphi, getit daphidy, getit thipixox, getit pixipthi, getit pithipix, getit xupthi, getit dipdydix, getit daphixady, getit xiddipdy, getit xippady hi, and getit phithi.

Rapsady - (s,[s*'s)s] - verf shaped like trigonal symmetric cup with 3 sirsid verfs on them (2400) - 1 member.

Sadsadox - [o^[oxo]^o] - 2 pip fusion verf (3600) - 9 members, others are sidsadox, sidsoxix, sidsaxadox, sidsadixox, sisdasadex, sadistex, sidsaxixox, and sidsosadex - these are refered to as the sidtaps.

Gadsadox - [o*'[oxo]*'o] - 2 stip fusion verf (3600) - 9 members, others are gidsadox, gidsoxix, gidsaxadox, gidsadixox, gisdasadex, gadistex, gidsaxixox, and gidsosadex - these are refered to as the gidtaps.

Sadros Daskydox - [(o^[(o,x)x)]o^)] - faceting of '2 pentagon antipodium fusion' verf (7200) - 177 members plus hoards of fissaries, many compounds and scaliforms also. These are refered to as the idcossids. Other members are sadroshax, sadsedoxpix, sidspodsid xotex, sadsapostuxdex, sadspid sedoxdix, sidsaps dextix, sidsposidstix, sadspid sopex, sudsposhex, sedspostuxtux, sudspeshax, sadsapoxdex, sadstuxtex, sodsposdexpix, sadspid staxdix, spods dusdextix, sidsposidspox, spods dospix, sidsposidstux, sidsposduxtix, suds dexpustix, sposdoshax, sedsposox, sidsosphiheex, sidsoshexphi, sidsoshaxphi, sidsosphihax, sidsospid sphipix, sidsospid sphitux, sidsospid stuxphi, sidsospid sphidixdox, sidsospas phihix, sidsospas phipix, sidsospas pixphi, sidsospas phidextix, more to come

Gadros Daskydox - [(o*'[(o,x)x)]o*')] - faceting of '2 pentagon podium fusion' verf (7200) - 177 members plus hoards of fissaries, many compounds and scaliforms also. These are refered to as the dircospids. Other members are gadroshax, gadsedoxpix, gidspodsid xotex, gadsapostuxdex, gadspid sedoxdix, gidsaps dextix, gidsposidstix, gadspid sopex, gudsposhex, gedspostuxtux, gudspeshax, gadsapoxdex, gadstuxtex, godsposdexpix, gadspid staxdix, gapods dusdextix, gidsposidspox, gapods dospix, gidsposidstux, gidsposduxtix, guds dexpustix, gopsdoshax, gedsposox, gidsosphiheex, gidsoshexphi, gidsoshaxphi, gidsosphihax, gidsospid sphipix, gidsospid sphitux, gidsospid stuxphi, gidsospid sphidixdox, gidsospas phihix, gidsospas phipix, gidsospas pixphi, gidsospas phidextix, more to come


Special Antiprisms

Gap - [[s^s] [s^s]] - 'ike with two adjacent corners cut off' verf (100) - 1 member.

Gudap - s^s s*'s - 'fusion of wedge and retrowedge' verf (50) - 1 member.

Padiap - [[s*'s] [s*'s]] - 'gike with two stars filled in and their appropriate two corners chopped off' verf (100) - 1 member.

Sidtidap - oo^s s - trigon cupola verf (40) - 3 members, others are ditdidap and gidtidap (these are known as the Johnson antiprisms).


Prisms

Tepe - oox x - triangle pyr verf (8) - 1 member.

Ope - xo'o x = oxo x - square pyramid verf (12) - 2 members, other is thahp.

Dope - oo^x x - triangle pyr verf (40) - 1 member.

Ipe - xo^o x = sss x - pentagon pyr verf (24) - 2 members, other is gaddip.

Sissiddip - o^o*x x - pentagon pyr verf (24) - 2 members, other is gipe.

Gissiddip - oo*x x - triangle pyr verf (40) - 1 member.

Cope - ox'o x = xox x - rectangle pyr verf (24) - 3 members, other members are ohope and chope.

Iddip - ox^o x - rectangle pyr verf (60) - 3 members, others are sidhiddip and seihiddip.

Diddip - o*x^o x - rectangle pyr verf (60) - 3 members, others are sidhipe and gidhipe.

Giddip - o*xo x - rectangle pyr verf (60) - 3 members, others are gidhiddip and geihiddip.

Sidtiddip - (oo*x) x - ditrigon pyr verf (40) - 3 members, others are ditdiddip and gidtiddip, theres also the 5-tes compound member "rhomp".

Tuttip - oxx x - scalenoid verf (24) - 1 member.

Ticcup - ox'x x - scalenoid verf (48) - 1 member.

Tope - xx'o x = xxx x - scalenoid verf (48) - 1 member.

Tiddip - ox^x x - scalenoid verf (120) - 1 member.

Tipe - xx^o x - scalenoid verf (120) - 1 member.

Tigiddip - o*x^x x - scalenoid verf (120) - 1 member.

Tiggipe - o*xx x - scalenoid verf (120) - 1 member.

Quithip - ox"x x - scalenoid verf (48) - 1 member.

Quit Sissiddip - x*'x^o x - scalenoid verf (120) - 1 member.

Quit Gissiddip - x*'xo x - scalenoid verf (120) - 1 member.

Sircope - xo'x x - trapyr verf (48) - 3 members, other members are soccope and srohp.

Sriddip - xo^x x - trapyr verf (120) - 3 members, others are saddiddip and sirdip.

Radiddip - x*o^x x - trapyr verf (120) - 3 members, others are ididdip and ripe.

Goccope - (o'x"x) x - trapyr verf (48) - 3 members, other members are quercope and grohp.

Gidditdiddip - (o^x*'x) x - trapyr verf (120) - 3 members, others are giidip and giddipe.

Gaddiddip - (o*x*'x) x - trapyr verf (120) - 3 members, others are qriddip and girdip.

Siidip - (o*xx) x - trapyr verf (120) - 3 members, others are sidditdiddip and siddipe.

Gircope - xx'x x - irregular tet verf (96) - 1 member.

Griddip - xx^x x - irregular tet verf (240) - 1 member.

Quitcope - xx"x x - irregular tet verf (96) - 1 member.

Quitdiddip - x*'x^x x - irregular tet verf (240) - 1 member.

Gaquatiddip - x*'xx x - irregular tet verf (240) - 1 member.

Cotcope - (x'x"x) x - irregular tet verf (96) - 1 member.

Idtiddip - (x^x*'x) x - irregular tet verf (240) - 1 member.

Sniccup - ss's x - isosceles pentagon pyr verf (48) - 1 member.

Sniddip - ss^s x - isosceles pentagon pyr verf (120) - 1 member.

Siddiddip - s*s^s x - irregular pentagon pyr verf (120) - 1 member.

Gosiddip - s*ss x - isosceles pentagon pyr verf (120) - 1 member.

Isdiddip - s*'s^s x - irregular fish pyr verf (120) - 1 member.

Gisiddip - s*'ss x - fish pyr verf (120) - 1 member.

Girsiddip - s*'s,s x - isosceles star pyr verf (120) - 1 member.

Sididdip - (s^s*'s) x - irregular fish pyr verf (120) - 1 member.

Gisdiddip - (s*s*'s) x - irregular fish pyr verf (120) - 1 member.

Sesidip - (s*ss) x = ss^o x - isosceles ditrigon pyr verf (120) - 1 member.

Sirsiddip - (s*'s,s) x - 'star with pedistal' pyr verf (120) - 1 member.

Gidriddip - [s*s,s*'s] x - 'isosceles hitch-hatched 8-sided' pyramid verf (120) - 1 member plus two compound members which are dasipe and sapisseripe.


Duoprisms

Triddip - ox ox - sphenoid verf (9) - 1 member.

Thiddip - ox xx - disphenoid verf (18) - 1 member.

Hiddip - xx xx - sphenoid verf (36) - 1 member.

Tisdip - ox o'x - disphenoid verf (12) - 1 member.

Todip - ox x'x - disphenoid verf (24) - 1 member.

Tistodip - ox x"x - disphenoid verf (24) - 1 member.

Shiddip - xx o'x - disphenoid verf (24) - 1 member.

Hodip - xx x'x - disphenoid verf (48) - 1 member.

Histodip - xx x"x - disphenoid verf (48) - 1 member.

Sodip - o'x x'x - disphenoid verf (32) - 1 member.

Sistodip - o'x x"x - disphenoid verf (32) - 1 member.

Odip - x'x x'x - sphenoid verf (64) - 1 member.

Ostodip - x'x x"x - disphenoid verf (64) - 1 member.

Stodip - x"x x"x - sphenoid verf (64) - 1 member.

Pedip - o^x o^x - sphenoid verf (25) - 1 member.

Stardip - o*x o*x - sphenoid verf (25) - 1 member.

Starpendip - o*x o^x - disphenoid verf (25) - 1 member.

Dedip - x^x x^x - sphenoid verf (100) - 1 member.

Stadidip - x*'x x*'x - sphenoid verf (100) - 1 member.


Antiduoprisms

Squapip - s's s x - trapyr verf (16) - 1 member.

Pappip - s^s s x - trapyr verf (20) - 1 member.

Stappip - s*s s x - trapyr verf (20) - 1 member.

Starpip - s*'s s x - crossed trapyr verf (20) - 1 member.



Regiments of 5 Dimensions

Hixics

Hix - oooox - pen verf (6) - 1 member.

Tix - oooxx - tet pyramid verf (30) - 1 member.

Rix - oooxo - tet prism verf (15) - 7 members, others are cabnix, firx, cax, baddix, cindax, and nobax.

Dot - ooxoo - triddip verf (20) - 5 members, others are bad, bend, cabbix, and caddix.

Sarx - ooxox - trip wedge verf (60) - 15 members, others are rawx, lawx, fawx, lawbix, wax, rawcax, qwacox, qwabix, nawbix, newcax, iwax, iwebix, yawx, and yawcax.

Bittix - ooxxo - trigon-dyad disphenoid verf (60) - 1 member.

Garx - ooxxx - trigon scalenoid verf (120) - 1 member.

Spix - oxoox - trigon antifastegium verf (60) - 37 members plus one fissary (hipquax), others are hipbox, hopix, rippix, ipax, napix, napbox, sparx, spixe, hipquabix, rapbox, ipfax, napquax, napquabix, foparx, topax, fopixe, orpix, plex, paquix, poyax, hipfox, hepibix, ripquax, rapyox, napfix, nepnix, hipfabix, hopixe, ipquex, ipyax, napfabix, napnabix, fepix, foplex, fapquax, and fipyax.

Sibrid - oxoxo - duo-wedge verf (90) - 23 members, others are sibird, rabird, barbird, labird, clabird, quabwackid, quabwabid, nabwid, nabwackid, ibrid, cibard, bybird, yabird, fibrid, wiwax, wiwabix, rybawx, yarbawx, lanwax, lanwabix, foqwax, and quafwax.

Pattix - oxoxx - wedge pyramid verf (180) - 7 members, others are roptix, loptix, fiptix, naptix, iptix, and yuptix.

Pirx - oxxox - rectangle-dyad disphenoid verf (180) - 3 members, others are rapirx and lapirx.

Gibrid - oxxxo - sphenoid pyramid verf (180) - 1 member.

Gippix - oxxxx - irtetoid (pen with only mirror symmetry) verf (360) - 1 member.

Scad - xooox - tet antiprism verf (30) - 11 members, others are dibhid, chad, dacox, bacox, dehad, bachid, behad, dachid, nacox, and dabcax.

Cappix - xooxx - trigon antiprism skew pyramid verf (120) - 7 members, others are hacpix, hipcax, racpix, icpix, napcox, and nacpix.

Card - xoxox - square-sphenoid wedge verf (180) - 18 members, others are recard, qwacard, qwercad, nawcard, nawrackid, icrid, yackerd, focrid, sircrax, locrax, larcax, licrabix, lircbix, daquicrix, dincrax, iyacrix, and facarx.

Cograx - xoxxx - trapezoid scalene (trapezoid pyramid pyramid) verf (360) - 3 members, others are rocgrax and locgrax.

Captid - xxoxx - trapezoid scalene verf (360) - 3 members, others are recaptid and lacaptid.

Gocad - xxxxx - irregular pen verf (720) - 1 member.


Pentics

Pent - oooo'x = ooo'x x = oo'x o'x = oo'x x x = o'x o'x x = o'x x x x = x x x x x - pen verf (32) - 1 member (this is the penteract or 5-D cube).

Tac - xooo'o = xo8o - hex verf (10) - 4 members, others are hehad (5-D thah), phap, and nophap (these last two caught me by surprize).

Tan - ooox'x - tet pyramid verf (160) - 1 member.

Tot - xxoo'o = xx8o - oct pyramid verf (80) - 2 members, other one is thehid.

Rin - ooox'o = oo6x - tet prism verf (80) - 11 members, others are nithit, firn, tin, tinhat, niddit, noht, nath, nadoh, nah, and natdoh.

Rat - oxoo'o = ox8o - oct prism verf (40) - 44 members plus one compound (bic), others are thit, rithit, onthet, otnahit, ithit, rinhit, cathit, bathit, cant, bant, ratchet, ratobaht, cat, bat, conhit, bonhit, chet, boht, rhohid, bendhehad, nabadhehad, nathehid, nedhehad, benthahid, thinhed, hinhohid, dohbinhed, nabthehid, didhehad, nadahobhid, dathehid, hah, noth, hanoh, tuh, candoh, bandoh, cath, bath, cadoh, badoh, canth, and banth.

Nit - ooxo'o = oo9o - tisdip verf (80) - 149 members plus 138 fissaries and a pure compound (docab), other members are natrit, tinrit, notite, tonite, nort, nite, batatadit, tatabadit, batatat, ibtitdit, batatilt, titbit, bactatdit, bactatat, tart, tite, rildit, rifdit, idit, iyidit, nat, cab, locab, dabindoh, dabinth, bacanth, racandoh, racanth, cabanth, botatidhit, battoth, bactoth, dabtadah, dabidhut, dobdah, dabbath, bacodhut, baccoth, ractadah, racodhut, rocdah, raccoth, cabidhut, cobboth, bathalan, hadbaquan, hachquan, harhan, hunanihon, bahtihan, dabanquahan, chanquahan, hanrahn, bahty quan, hinahan, dabirnihan, bacrinihan, cornihan, cabirnihan, bretlan, redboquan, recoquan, raniyan, ranrohan, relhan, ranquan, bartequan, idbohn, ibchen, ichen, icbohn, bith, bacith, irl, bitrique, dobinohi, bacinohi, cinohi, cabinohi, inany, idbi, ici, inoh, dabinquer, cinquer, iqui, hiquah, bahrtral, hardbarq, harcroq, hernqui, bohrty, dabronan, bacronan, cronan, cabronan, rhonril, dabrahli, bacrahli, crahli, cabrahli, rhony, dabrahny, crahny, hihorahn, hinalhen, hine qrihan, dobihanquan, cihanquan, ihiyahan, riqyohan, dabrinihan, bocrinihan, crinihan, cobrinihan, irohlohn, birtran, irdbihan, irbcihan, ircihan, ircbihan, drohan, dinahon, tiderhan, todinihan, dradhillan, dirdy quan, didal hohan, didaqyohan, brohahd, hadderhen, hoddihan, redralahan, redyanhan, red hohan, radiquahan, idyihan, idharhen, idlahan, idnoquahn, hurdle hen, herdquinahn, ihod hihan, ihodny hen, ridothin, irdidle hen, irdidoquan, and ridadyhen. Fissaries are itatabdit, catatadit, tatacadit, catatat, ictitdit, itatacdit, catatlit, tutcat, ibactatdit, bactatilt, dabintadah, bocandoh, bacantadah, racantadah, cabandoh, cabantadah, botatdohite, botatidhort, cotatdohite, cotatidhit, cotatidhort, cattoth, bactatidhit, bactadah, bocdah, cabtadah, cobdah, chothalan, bachothalan, habchaquan, hacbaquan, debanilyan, bochenilyan, chenalyan, cabanilyan, chatihan, bochatihan, bachanquahan, cabanquahan, hodabyalhon, hobcylhan, hocylhan, hocabyalhon, choty quan, redblinan, ribclinan, reclinan, racblinan, curtlan, bocratlan, bret quinohon, curt quinohon, ribcaquan, ricboquan, dabernyaran, bocranyaran, cernyaran, cobrinyaran, cartequan, cith, citrique, ibci, icbi, bacinquer, cabinquer, bitil, citil, bietyen, cietyen, chartral, bachartral, harbcraq, horcbroq, charty, brohtaqui, crohtaqui, bacrahny, cabrahny, bohite hihan, chite hihan, bahitiyohan, chitiyohan, ihodbahihan, ihobchihan, ihachihan, ihocbohihan, bihotryhan, cihotryhan, dabinlinan, bacinlinan, cihonlinan, cabinlinan, bocihanquan, cabihanquan, dabrinernhen, bocrinernhen, crinernhen, cabrinernhen, britalyohan, critalyohan, britanihan, critanihan, birthquan, cirthquan, irdburnhen, irbcernhen, ircernhen, ircburnhen, cirtran, bacirtran, irnqyohan, dobdahquan, dibdaylan, dabtodique hohan, dabtadlyhan, dabderdihan, dabdi dinnerhen, dabdidihan, dobhidy hohan, dobhidhyhen, dabird honhen, dabirdile hen, dabirdyohan, dabirderquan, dabidihahan, dabidilnan, dabidoquan, dabrodyran, dabrode hihan, daberdnilan, daberdquan, rohdiyen, dobih daquerhen, dobihadlihan, dabridrin, dabridenhen, dabridirhen, and dabirdenhen. (warning - spelling test is tomorrow - hahahaha!!).

Sirn - ooxo'x - trip wedge verf (320) - 15 members, others are rawn, slawn, safwan, slawbin, wan, rawcan, sqwacon, sqwabin, snawbin, snowcan, iwan, iwebin, yawn, and yawcan.

Sart - xoxo'o = xo9o - cube wedge verf (240) - 93 members, others are rawt, lawt, fawt, lawcat, wat, rawcat, qwit, qwicot, nawt, nawcat, icwat, iwacat, yicwat, yawcat, wabic, watbat, watcat, nawtbat, nawtcat, qwatbat, qwatcat, fawtbat, fawtcat, taqwabat, taqwacat, tuffowbat, tuffowcat, widoh, rowdoh, iwdoh, wierdow, lowdoh, lawbidoh, lawcadoh, qwoh, qwaboh, qwacoh, waldoh, wilbadoh, walcadoh, waquoh, waquiboh, waquacoh, nawlquoh, nawlquaboh, nawlquacoh, nawloh, nawlboh, nawlcoh, nawquinboh, nawquincoh, nownoh, nownboh, nowncoh, nawqualoh, nowhol, benwalloh, conwalloh, nownquoh, nownquaboh, nownquacoh, nowhan, benwanoh, conwanoh, howoh, howiquoh, howihe, yawarquoh, yawroh, yawyiquoh, yowyah, iwohquoh, iwah, iwiquoh, iwihe, rawroh, rawyiquoh, rowyah, qwidloh, qwalenoh, qwidquoh, qwequah, qwidnoh, qwahique, qwiffoh, lowloh, lowqualoh, lowquinoh, lawnquoh, lownoh, lowhal, and lowhan.

Bittin - ooxx'o = oo$x - trigon-dyad disphenoid verf (320) - 1 member.

Bittit - oxxo'o = ox9o - square-dyad disphenoid verf (240) - 2 members, other one is bathehad.

Girn - ooxx'x - trigon scalenoid verf (640) - 1 member.

Gart - xxxo'o = xx9o - square scalenoid verf (480) - 2 members, other one is grahehad.

Span - oxoo'x - trigon antifastegium verf (320) - 37 members plus one fissary (shapquon), others are shipbin, shippin, sirpin, sipen, snappin, snipbin, sparn, spine, shipquabin, sirpbin, seipfin, snapquon, snipquabin, sofpran, stopin, safpine, sorpin, sepalon, sapquon, sopyan, shopfan, shopiben, sripquin, sorpyan, snipfan, snapnon, shipfaben, shopine, seipquon, seipyan, snapfaben, snapnaben, sefpan, sefpalon, safpaquon, and safpeyan.

Spat - xoox'o = xo6x - trigon antifastegium verf (320) - 85 members plus eight fissaries, others are hipbat, hipt, ript, ipt, nipt, nipbat, spart, spite, hipquabot, ripbot, ipfat, napquat, nipquabot, fiprat, topit, fopite, orpit, pelt, poquat, poyat, hipfit, hopibit, ripquat, ropyat, napfat, nipnit, hipfabit, hapite, ipquit, ipyat, napfabit, napnabit, fopt, faplet, fepquat, fipyat, ipquoh, ipyah, nohipdah, ripquadah, ripyadah, inpadah, rinpaquadah, rorpdah, rarpradah, eph, eproh, nonproh, nanpadah, noherpdah, ninpandoh, ninpaquoh, phiph, phipadoh, pinpanah, pinpaqdoh, ninerpaqdah, ninpadah, nahpaqdah, nahpah, pirnpadoh, phipquoh, phipdah, lakh, yakbedoh, rakadah, nakadah, lekandoh, nokandoh, yakharh, lakhandoh, crakihe, nakihe, yakhahah, rikrahdoh, yikhidoh, rokihe, lakahnoh, halkanoh, nakrendoh, lakhoh, laknidoh, tinkanoh, and naknah. The fissaries are hipquat, ihonpiqdah, nihopquadah, pinpardoh, prohpaqdoh, pinipquadah, nikhandoh, and nakhahah.

Sibrant - oxox'o = ox6x - duowedge verf (480) - 47 members, others are sibirnt, ribrant, barbrant, librant, calbrant, quabwacant, quabwabint, nabwent, nabwacant, ibrant, cibarnt, bybrant, yabrant, fibrant, wiwan, wiwabin, wiwat, wiwabit, rybawn, yarbawn, rybawt, yarbawt, lanwan, lanwaban, lanwat, lanwabit, foqwan, quafwan, foqwat, quafwat, brewahen, birbwahan, rayiwhen, rayibwhen, blobawhan, blowhen, linquabawhen, lanquawhen, nolwhen, nalbwhen, binquawhen, binqabwhen, yarbowhen, yarwehon, byibowhen, and byiwhan.

Pattin - oxox'x - wedge pyramid verf (960) - 7 members, others are sroptin, sloptin, sifoptin, sniptin, sipton, and syuptin.

Pattit - xxox'o = xx6x - wedge pyramid verf (960) - 11 members, others are roptit, loptit, fiptit, niptit, iptit, yuptit, ropith, lippith, naptah, and yappoth.

Prin - oxxo'x - trapezoid-dyad disphenoid verf (960) - 3 members, others are sibtadin and slaprin.

Pirt - xoxx'o = xo$x - rectangle-dyad disphenoid verf (960) - 3 members, others are repirt and lepirt.

Gibrant - oxxx'o = ox$x - disphenoid pyramid verf (960) - 1 member.

Gippin - oxxx'x - irtetoid verf (1920) - 1 member.

Gippit - xxxx'o = xx$x - irtetoid verf (1920) - 1 member.

Scant - xooo'x - tet antipodium verf (160) - 15 members, others are satbadan, scotan, sactadan, scadant, sobcan, scabbin, sinnont, sabdacan, sobin, stacdan, scan, stan, scabtadin, and sacbadant.

Capt - xoox'x - trigon antiprism pyramid verf (640) - 7 members, others are shacpot, shipcat, sorcpit, sicpot, snapcat, and snicpot.

Cappin - xxoo'x - trigon antipodium pyramid verf (640) - 7 members, others are shicpan, shipcan, setitdin, sicpan, snapcon, and snacpan.

Carnit - xoxo'x - square-disphenoid wedge verf (960) - 27 members, others are recarnit, qwecarnit, qwarcanot, nawcranit, nawrecant, icarnt, yackernot, focranot, sircarn, rawcbinant, locrin, locrit, lercan, lercat, lecarbon, lecarbit, lircabin, lircabit, doquacarn, dequacrat, dancrin, dincart, iyacorn, iyacrat, focran, and focart.

Cogrin - xoxx'x - trapezoid scalene verf (1920) - 3 members, others are srocgrin and slocgrin.

Cogart - xxxo'x - trapezoid scalene verf (1920) - 3 members, others are sibcotdin and slocgart.

Captint - xxox'x - trapezoid scalene verf (1920) - 3 members, others are sircaptint and slacpotint.

Gacnet - xxxx'x - irregular pen verf (3840) - 1 member.

Quittin - ooox"x - tet pyramid verf (160) - 1 member.

Gaqrin - ooxx"x - trigon scalenoid verf (640) - 1 member.

Quiptin - oxox"x - wedge pyramid verf (960) - 7 members, others are groptin, gloptin, gifoptin, ganpotan, giptin, and gypotan.

Gaquapan - oxxx"x - irtetoid verf (1920) - 1 member.

Quacpot - xoox"x - tet antiprism pyramid verf (640) - 7 members, others are gahcapt, gahpact, gorcpit, gicpot, gnapcat, and gancpot.

Quacgarn - xoxx"x - trapezoid scalene verf (1920) - 3 members, others are gorcgrin and golcgrin.

Quicpatint - xxox"x - trapezoid scalene verf (1920) - 3 members, others are gircaptint and glacpotint.

Gaquacint - xxxx"x - irregular pen verf (3840) - 1 member.

Ginnont - oo(o'x"x) - tet podium verf (160) - 15 members, others are quacant, gabdacan, gatbadan, goctan, gabin, gatcodan, gactadan, gocadent, gobcan, gecabin, gocan, gotan, gicabtadin, and gacbadant.

Fawdint - o(o'x"x)o - trigon fastegium verf (320) - 37 members plus one fissary (gahpquon), others are quappin, gahpbin, gahpin, gipin, gnappin, gnipbin, gaqpown, gaqpyan, gahpquabin, gipbin, geipfin, gnapquon, gnipquabin, gofpan, gatopin, gafpyan, gaqprin, gaqpalon, gaqpaquon, gaquapine, ghopfan, ghopyaben, gapquin, gopine, gnapfan, gnapnan, ghopfaben, ghopyan, geipquan, gipine, gnapfaben, gnapnaben, gafpan, gifplan, gefpaquon, and gofpine.

Wavinant - (o'x"x)oo - trip wedge verf (320) - 15 members, others are quarn, glawn, gafwan, glawbin, wacan, grown, gaqwabin, gaqwacon, gnowcan, gnawbin, igwan, iwecan, yagwan, and yawbin.

Nottant - oo(x'x"x) - trigon scalenoid verf (640) - 1 member.

Danbitot - o(x'x"x)o - disphenoid pyramid verf (960) - 1 member.

Naquitant - (x'x"x)oo - trigon scalenoid verf (640) - 1 member.

Nurrant - ox(x'x"x) - irtetoid verf (1920) - 1 member.

Sadinnert - o(x'x"x)x - irtetoid verf (1920) - 1 member.

Gadinnert - x(x'x"x)o - irtetoid verf (1920) - 1 member.

Noqrant - (x'x"x)xo - irtetoid verf (1920) - 1 member.

Niptant - xo(x'x"x) - trapezoid scalene verf (1920) - 3 members, others are narptint and nalpitant.

Naquiptant - (x'x"x)ox - trapezoid scalene verf (1920) - 3 members, others are noqraptant and naqleptint.

Nippant - xx(x'x"x) - irregular pen verf (3840) - 1 member.

Danpit - x(x'x"x)x - irregular pen verf (3840) - 1 member.

Noquapant - (x'x"x)xx - irregular pen verf (3840) - 1 member.

Gibtadin - (o'x"x)xo - trapezoid-dyad disphenoid verf (960) - 3 members, others are quiprin and glaprin.

Wacbinant - (o'x"x)ox - rectangle-disphenoid wedge verf (960) - 27 members, others are qracorn, gadquecrat, gadquacorn, gadencorn, gadencart, gycart, gycron, gofcranot, garcornit, quacrant, galcorn, glarcat, glarcon, glocrot, galcarbon, glarcabot, glarcaban, golcrabit, goqwracnit, goqwacrant, ganwocrant, ganwrecant, gycornet, gicarnt, gifcarn, and gofcart.

Gibcotdin - (o'x"x)xx - trapezoid scalene verf (1920) - 3 members, others are quicgrat and glocgart.

Getitdin - o(o'x"x)x - trigon podium pyramid verf (640) - 7 members, others are caquapin, gicpan, gahcpan, gahpcan, gnapcon, and gancpan.

Sibacadint - xx(o'x"x) - skewed wedge pyramid verf (1920) - 15 members, others are scatnit, sidacadint, scadnicat, sobtitan, sibdacadin, sabcatican, scabcadin, scatcodin, scoctan, stadicdan, scotdactin, sibcatdocdin, sibcatcotan, and sibtodactin.

Gidacadint - x(o'x"x)x - skewed wedge pyramid verf (1920) - 15 members, others are gactanet, gibacadint, gacdincat, gatdicdan, gibdacadin, gacticdan, gicabcadin, gabcatican, gocactan, gobtitan, gibcatcotan, gibcatdocdin, goctdactin, and gibtodactin.

Skivbadant - ox(o'x"x) - skewed trip wedge verf (960) - 63 members, others are spakavon, skevatant, sparkoven, silkavon, splakoven, squakvacon, squakvebin, snakoven, spankaven, sikovin, spikoven, soykevin, spoykavon, safkaven, skiven, skivapan, skivacon, skivoben, sroykavon, spraykavon, spyarkoven, syrokven, slinkvan, splinkavon, snalkoven, spanalkven, spifquakavon, sefquikoven, squifkaven, spaqfekavon, sikvacadint, surrikvapen, skovactaden, sporrikven, srakovyine, sparkovyine, serkviyen, sparkviyen, slikveln, splakavlan, sellekvon, splelkavon, slikvanqbin, silkvanqcan, slikvaqnobin, silkvaqnican, sinkvalen, spankvalen, sinkloven, spankloven, sinkvanquin, spankvinquin, sinkvaqnon, spankveqnon, sykavren, spykavern, sykraven, spykarvin, sykvayin, spykvayin, sykviyan, and spykviyan.

Gikvacadint - x(o'x"x)o - skewed trip wedge verf (960) - 63 members.

Skatbacadint - xo(o'x"x) - trigon skewed antifastegium verf (640) - 133 members plus 15 fissaries.


Demipentics

Hin - oo8x = oo6o - rap verf (16) - 6 members, others are dah, han, radah, rinah, and hit.

Thin - oo9x = oo$o - trip pyramid verf (160) - 3 members, others are tadah and tohan.

Sirhin - ox8x = ox6o - trigon fastegium verf (160) - 37 members plus one fissary (hafquithcad), the others are quafdidoh, hofrahdoh, hefrahd, ifhadoh, neflahdoh, nafeldoh, quafcath, qafyahcadoh, hofquahch, fithcod, ifich, nafqahdidoh, nafquith, fificdith, kafandoh, fifyicdith, quifarthid, quifcloth, quifcaqdoh, qafideth, hefdoh, hifyathcod, foqoth, fidohcod, nufcadoh, nifcandoh, hifdith, hafcydoh, ifquithid, ifcith, nofcadith, nofanthcod, fafruth, faflithcod, fafqadhcad, and fufith.

Siphin - xo8x = xo6o - tet-oct cupola verf (80) - 56 members plus 20 fissaries, the others are quinach, fedandoh, quachin, pafcandoh, poquith, piqdandoh, hopith, hicnuth, hicondah, hipcanoh, hiquadanth, hipcadandoh, haquinth, hipcandoh, hith, hipdandoh, hopandoh, fecadoh, padindoh, ficdandoh, fidandoh, fidoh, rarutah, rardandoh, rynocath, randoh, riqcadandoh, rodindoh, irnacoth, iyedoh, idancoth, iquinoth, inich, frendoh, fordandoh, yidancoth, pynoth, yacnoh, nulcnith, nalcandoh, ninth, nanoh, nodinth, nilth, neldanoth, nincandoh, nacdandoh, nincadoh, naquidandoh, locadinth, plinth, lanch, pladinth, fenandoh, and fandandoh. The fissaries are hopdanth, hipcanuth, hidenth, hiquacnuth, haqcadandah, punith, picantoh, rycinth, raquicnuth, ircneth, iquidanth, pardancdoh, parcnuth, pydinth, nandinoth, noquicnith, nuncanoth, nuquinth, pincdandoh, and puncanth.

Girhin - ox9x = ox$o - disphenoid pyramid verf (480) - 1 member.

Giphin - xx9x = xx$o - irtetoid verf (960) - 1 member.

Pithin - xo9x = xo$o - wedge pyramid verf (480) - 7 members, others are ripthin, lipthin, fapthin, napthin, ipthin, and yapthin.

Pirhin - xx8x = xx6o - skewed trip pyramid verf (320) - 7 members, others are ripperhin, iperhin, heprahin, pharhin, naprahin, and panarhin.


Misc

Sidtaxhiap - ooo^s s - tet-tut cupola verf (1200) - 1 member.

Gadtaxhiap - ooo*'s s - tet-tetrapod cupola verf (1200) - 1 member.

Hosiap - [o[o6o]o] - two rap blend verf (48) - 3 members plus 6 compounds and 5 scaliforms. The other two are ihsiap and hesirap. I found this regiment in 2013, it is a blend of 6 hins.



Regiments of 6 Dimensions

Heppics

Hop - ooooox - hix verf (7) - 1 member.

Ril - ooooxo - pen prism verf (21) - 7 members, others are firl, tabnil, todal, bill, tall, and bindle.

Bril - oooxoo - trigon-tet duoprism verf (35) - 18 members and an inter-regimental compound. Others are tecbinol, label, battle, bell, cattle, fibral, fatal, bactal, call, table, cole, blocle, tacabel, cloble, ital, tabadel, and bitadel. A compound of fatal and cole is called calfatal.

Til - ooooxx - pen pyramid verf (42) - 1 member.

Batal - oooxxo - tet-dyad disphenoid verf (105) - 1 member.

Fe - ooxxoo - trigon disphenoid verf (140) - 1 member.

Sril - oooxox - tet prism wedge verf (105) - 31 members.

Spil - ooxoox - triddip antifastegium verf (140) - 138 members plus 15 fissaries.

Sabril - ooxoxo - trigon-dyad duowedge verf (210) - 63 members.

Scal - oxooox - tet antifastegium verf (105) - 125 members plus 11 fissaries.

Sibpof - oxooxo - trigon duoantifastegium verf (210) - 143 members plus 13 fissaries.

Staf - xoooox - pen antiprism verf (42) - 19 members, others are ticadel, citadel, fithaf, chaf, lotel, litdocal, nackle, tifcal, fohaf, tachif, litacol, lactal, fochaf, thof, notadel, todcadil, focal, and cadittal.

Gril - oooxxx - tet scalenoid verf (210) - 1 member.

Gapil - ooxxxx - trigon irtetoid verf (840) - 1 member.

Gabril - ooxxxo - trigon-dyad disphenoid pyramid verf (420) - 1 member.

Gacal - oxxxxx - irpenoid verf (hix with two identical irregular pens) (2520) - 1 member.

Gibpof - oxxxxo - disphenoid scalenoid verf (1260) - 1 member.

Gotaf - xxxxxx - irregular hix verf (5040) - 1 member.

Patal - ooxoxx - trip wedge pyramid verf (420) - 15 members.

Pril - ooxxox - trigon-rectangle disphenoid verf (420) - 3 members - others are rapril and lapril.

Bapril - oxoxxo - wedge-dyad disphenoid verf (630) - 7 members, others are rebapril, lebapril, fabopril, nabopril, ibopril, and yubopril.

Catal - oxooxx - trigon antifastegium pyramid verf (420) - 37 members plus one fissary.

Cral - oxoxox - 'square-dyad disphenoid'-square wedge verf (630) - 75 members.

Copal - oxxoox - 'trigon antiprism'-dyad disphenoid verf (420) - 7 members, others are caphal, chapel, carpel, cipal, capnel, and conaple.

Tocal - xoooxx - tet antiprism pyramid verf (210) - 15 members.

Topal - xooxox - trip-antifastegium wedge verf (420) - 139 members plus one fissary.

Cagral - oxoxxx - wedge scalene verf (1260) - 7 members, others are recagral, lecagral, focagral, nacogral, icogral, and yucagral.

Captal - oxxoxx - trapezoid-dyad disphenoid pyramid verf (1260) - 3 members, others are craptal and claptal.

Copril - oxxxox - trapezoid-dyad disphenoid pyramid verf (1260) - 3 members, others are caproral and coplarel.

Togral - xooxxx - trigon antiprism scalene verf (840) - 7 members, others are hotgirl, thagral, ratgirl, itagral, notgirl, and tangral.

Tactaf - xxooxx - trigon antiprism scalene verf (840) - 5 members, others are thoctaf, trictof, ticotaf, and tanctof.

Tocral - xoxoxx - square-sphenoid wedge pyramid verf (1260) - 27 members.

Taporf - xoxxox - rectangle disphenoid verf (1260) - 6 members, others are ratparl, latparl, ratporf, latporf, and raltporlil.

Tagopal - xoxxxx - rectangle tettene verf (2520) - 3 members, others are ratgopal and latgopal.

Tacogral - xxoxxx - rectangle tettene verf (2520) - 3 members, others are ratcogral and latcogral.


Axics

Ax - ooooo'x - hix verf (64) - 1 member - this is the hexeract (6-D cube).

Gee - xoooo'o = xoo8o - tac verf (12) - 6 members, others are thox (6-D thah), heyap, henap, hehap, and nohehap.

Rax - oooox'o = ooo6x - pen prism verf (192) - 23 members.

Rag - oxooo'o = oxo8o - hex prism verf (60) - 132 members plus 5 fissaries and two pure compounds.

Brox - oooxo'o = ooo9o - square-tet duoprism verf (240) - ???? members (perhaps thousands).

Brag - ooxoo'o = oox8o - trigon-oct duoprism verf (160) - 834 members (not completely defissed yet, started at 1361 before defissing). There are 11 pure compounds.

Tox - oooox'x - pen pyramid verf (384) - 1 member.

Tag - xxooo'o = xxo8o - hex pyramid verf (120) - 2 members (possibly 4), other one is tothox.

Botox - oooxx'o = ooo$x - tet-dyad disphenoid verf (960) - 1 member.

Botag - oxxoo'o = oxx8o - oct-dyad disphenoid verf (480) - 2 members, other one is botathox.

Xog - ooxxo'o = oox9o - trigon-square disphenoid verf (960) - 2 members, other one is totathox.

Srox - oooxo'x - tet prism wedge verf (960) - 31 members.

Srog - xoxoo'o = xox8o - oct prism wedge verf (480) - 290 members plus 63 fissaries. There are also two pure compounds.

Spox - ooxoo'x - triddip antifastegium verf (1280) - 138 members plus 15 fissaries.

Spog - xooxo'o = xoo9o - tisdip antifastegium verf (960) - ????? members (perhaps thousands).

Saborx - ooxox'o = oox6x - trigon duowedge verf (1920) - 95 members.

Siborg - oxoxo'o = oxo9o - square duowedge verf (1440) - ??? members (hundreds).

Scox - oxooo'x - tet antifastegium verf (960) - 125 members plus 11 fissaries.

Scag - xooox'o = xoo6x - tet antifastegium verf (960) - 453 members.

Sobpoxog - oxoox'o = oxo6x - trigon duoantifastegium verf (1920) - ???? members (perhaps hundreds or even thousands).

Stoxog - xoooo'x - pen antipodium verf (384) - 39 members plus many scaliforms and a few compounds.

Grox - oooxx'x - tet scalenoid verf (1920) - 1 member.

Grog - xxxoo'o = xxx8o - oct scalenoid verf (960) - 2 members, other one is grothax.

Gippox - ooxxx'x - trigon irtetoid verf (7680) - 1 member.

Gopog - xxxxo'o = xxx9o - square irtetoid verf (5760) - 2 members, other one is gopthax.

Gaborx - ooxxx'o = oox$x - trigon-dyad disphenoid pyramid verf (3840) - 1 member.

Gaborg - oxxxo'o = oxx9o - square-dyad disphenoid pyramid verf (2880) - 2 members, other one is gaborthox.

Gocax - oxxxx'x - irpenoid verf (23040) - 1 member.

Gocog - xxxxx'o = xxx$x - irpenoid verf (23040) - 1 member.

Gobpoxog - oxxxx'o = oxx$x - disphenoid scalenoid verf (11520) - 1 member.

Gotaxog - xxxxx'x - irregular hix verf (46080) - 1 member.

Potax - ooxox'x - trip wedge pyramid verf (3840) - 15 members.

Potag - xxoxo'o = xxo9o - cube wedge pyramid verf (2880) - 93 members.

Prox - ooxxo'x - trapezoid-trigon disphenoid verf (3840) - 3 members, others are reprox and slaprox.

Prog - xoxxo'o = xox9o - rectangle-square disphenoid verf (2880) - 6 members, others are reprog, laprog, prothax, reprothax, and laprothax.

Boprag - oxoxx'o = oxo$x - wedge-dyad disphenoid verf (5760) - 7 members, others are reboprag, leboprag, fobaprog, nobaprog, iboprag, and yuboprag.

Boprax - oxxox'o = oxx6x - wedge-dyad disphenoid verf (5760) - 11 members, others are raboprax, laboprax, faboprax, naboprax, ibaprox, yubaprox, raboprat, laboprat, nobaprot, and yobaprot.

Catax - oxoox'x - trigon antifastegium pyramid verf (3840) - 37 members plus one fissary.

Catog - xxoox'o = xxo6x - trigon antifastegium pyramid verf (3840) - 85 members plus 8 fissaries.

Crax - oxoxo'x - 'rectangle-dyad disphenoid'-square wedge verf (5760) - 75 members.

Crag - xoxox'o = xox6x - 'square-dyad disphenoid'-rectangle wedge verf (5760) - 123 members.

Copox - oxxoo'x - trigon antipodium-dyad disphenoid verf (3840) - 7 members, others are scophix, schopex, sraxgox, scipox, scopanx, and sconpex.

Copog - xooxx'o = xoo$x - trigon antipodium-dyad disphenoid verf (3840) - 7 members, others are cophig, chopig, crapig, cipog, coping, and canpig.

Tacog - xooox'x - tet antiprism pyramid verf (1920) - 15 members.

Tacox - xxooo'x - tet antipodium pyramid verf (1920) - 15 members.

Topag - xooxo'x - trip antifastegium wedge verf (3840) - 139 members plus one fissary.

Tapox - xoxoo'x - trip antifastegium wedge verf (3840) - 139 members plus one fissary.

Cagorx - oxoxx'x - wedge scalene verf (11520) - 7 members, others are sorcagorx, slacograx, safcogrex, snacogrex, sicogorx, and soycogrex.

Cagorg - xxxox'o = xxx6x - wedge scalene verf (11520) - 11 members, others are rocagorg, locagorg, focagrog, nacogreg, icogreg, yucogrog, racogort, lecograt, nocagret, and yucogret.

Captix - oxxox'x - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are srecaptix and slacaptix.

Captog - xxoxx'o = xxo$x - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are recaptog and lacaptog.

Coprix - oxxxo'x - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are sapargdox and slacoprix.

Coprag - xoxxx'o = xox$x - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are recoprag and lacoprag.

Togrix - xooxx'x - tet antiprism scalene verf (7680) - 7 members, others are shitgorx, stahgrix, sortgrix, sitgrix, snotgarx, and stangerx.

Togrig - xxxoo'x - tet antipodium scalene verf (7680) - 7 members, others are shotgarg, stahgreg, sopraxgox, sitgreg, snotgorg, and stangorg.

Tactaxog - xxoox'x - tet antiprism scalene verf (7680) - 7 members, others are sothcatox, sithcatog, starcatxog, sticatxog, stancotax, and stancatog.

Tocrag - xoxox'x - square-disphenoid wedge pyramid verf (11520) - 27 members.

Tocrax - xxoxo'x - square-disphenoid wedge pyramid verf (11520) - 27 members.

Tiprixog - xoxxo'x - rectangle-trapezoid disphenoid verf (11520) - 9 members, others are scragadex, sartprag, saltprix, saltprag, ratprixog, saltprixog, reltprixog, and slartprixog.

Tagpox - xoxxx'x - rectangle tettene verf (23040) - 3 members, others are sretagpox and slatagpox.

Tagpog - xxxxo'x - trapezoid tettene verf (23040) - 3 members, others are sicpragdex and saltagpog.

Tocagrax - xxoxx'x - rectangle tettene verf (23040) - 3 members, others are strocagrax and stalcagrax.

Tecagorg - xxxox'x - rectangle tettene verf (23040) - 3 members, others are strecagorg and stalcagorg.

Quotox - oooox"x - pen pyramid verf (384) - 1 member.

Gaqrox - oooxx"x - tet scalenoid verf (1920) - 1 member.

Gaquapox - ooxxx"x - trigon irtetoid verf (7680) - 1 member.

Gaquacox - oxxxx"x - irpenoid verf (23040) - 1 member.

Gaquitxog - xxxxx"x - irregular hix verf (46080) - 1 member.

Quoptax - ooxox"x - trip wedge pyramid verf (3840) - 15 members.

Quactix - oxoox"x - trigon antifastegium pyramid verf (3840) - 37 members plus one fissary.

Quotacog - xooox"x - tet antiprism pyramid verf (1920) - 15 members.

Quacagorx - oxoox"x - wedge scalene verf (11520) - 7 members, others are gorcagorx, glacograx, gafcogrex, gnacogrex, gicogorx, and goycogrex.

Quacpatox - oxxox"x - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are grecaptix and glacaptix.

Quatogrix - xooxx"x - tet antiprism scalene verf (7680) - 7 members, others are gahtgorx, gothgrax, gortgrix, gitgrix, gnotgarx, and gotangerx..

Quitcatxog - xxoox"x - tet antiprism scalene verf (7680) - 7 members, others are gothcatox, gathcatog, gotractxog, goticatxog, gotancotax, and gotancatog.

Quitcrag - xoxox"x - square-disphenoid wedge pyramid verf (11520) - 27 members.

Quatagpox - xoxxx"x - rectangle tettene verf (23040) - 3 members, others are gretagpox and glatagpox.

Quitcagrix - xxoxx"x - rectangle tettene verf (23040) - 3 members, others are gatrecagrax and gotalcagrax.

Quitecgorg - xxxox"x - rectangle tettene verf (23040) - 3 members, others are gotrecagorg and gatalcagorg.

Goxaxog - ooo(o'x"x) - pen podium verf (384) - 39 members plus many scaliforms and a few compounds.

Gagdex - oo(o'x"x)o - tet fastegium verf (960) - 125 members plus 11 fissaries.

Gadoxog - o(o'x"x)oo - triddip fastegium verf (1280) - 138 members plus 15 fissaries.

Wavaxixog - (o'x"x)ooo - tet prism wedge verf (960) - 31 members.

Xotaxog - ooo(x'x"x) - tet scalenoid verf (1920) - 1 member.

Siddixbatag - oo(x'x"x)o - trigon-dyad disphenoid pyramid verf (3840) - 1 member.

Giddixbatag - o(x'x"x)oo - trigon-dyad disphenoid pyramid verf (3840) - 1 member.

Xoquitxog - (x'x"x)ooo - tet scalenoid verf (1920) - 1 member.

Xorxog - oox(x'x"x) - trigon irtetoid verf (7680) - 1 member.

Siddixrig - oo(x'x"x)x - trigon irtetoid verf (7680) - 1 member.

Sagbraddix - ox(x'x"x)o - disphenoid scalenoid verf (11520) - 1 member.

Gagbraddix - o(x'x"x)xo - disphenoid scalenoid verf (11520) - 1 member.

Giddixrig - x(x'x"x)oo - trigon irtetoid verf (7680) - 1 member.

Xoquerxog - (x'x"x)xoo - trigon irtetoid verf (7680) - 1 member.

Xapxog - oxx(x'x"x) - irpenoid verf (23040) - 1 member.

Siddixpig - ox(x'x"x)x - irpenoid verf (23040) - 1 member.

Gagpodix - o(x'x"x)xx - irpenoid verf (23040) - 1 member.

Sagpodix - xx(x'x"x)o - irpenoid verf (23040) - 1 member.

Giddixpig - x(x'x"x)xo - irpenoid verf (23040) - 1 member.

Xoquapxog - (x'x"x)xxo - irpenoid verf (23040) - 1 member.

Xocaxog - xxx(x'x"x) - irregular hix verf (46080) - 1 member.

Siddoxacog - xx(x'x"x)x - irregular hix verf (46080) - 1 member.

Giddoxacog - x(x'x"x)xx - irregular hix verf (46080) - 1 member.

Xoquacxog - (x'x"x)xxx - irregular hix verf (46080) - 1 member.

Xictaxog - xoo(x'x"x) - tet antiprism scalene verf (7680) - 7 members.

Xaptaxog - oxo(x'x"x) - wedge scalene verf (11520) - 7 members.

Sagpardix - xo(x'x"x)o - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are sagarperdex and saglaperdex.

Gagpardix - o(x'x"x)ox - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are gagarperdex and gaglaperdex.

Xoquiptxog - (x'x"x)oxo - wedge scalene verf (11520) - 7 members.

Xoquactxog - (x'x"x)oox - tet antiprism scalene verf (7680) - 7 members.

Xac Pataxog - xxo(x'x"x) - rectangle tettene verf (23040) - 3 members, others are sixric pataxog and sixlic pataxog.

Xacurtxag - xox(x'x"x) - rectangle tettene verf (23040) - 3 members, others are sixracurtxag and sixlacurtxag.

Siddoxocrag - xo(x'x"x)x - rectangle tettene verf (23040) - 3 members, others are sidxorcrag and sidxalcrig.

Giddoxocrag - x(x'x"x)ox - rectangle tettene verf (23040) - 3 members, others are gidxorcrag and gidxalcrig.

Xoq Cratxog - (x'x"x)xox - rectangle tettene verf (23040) - 3 members, others are gixracurtxag and gixlacurtxag.

Xoq Capitxog - (x'x"x)oxx - rectangle tettene verf (23040) - 3 members, others are gixric pataxog and gixlic pataxog.

Gargodex - (o'x"x)xoo - trapezoid-trigon disphenoid verf (3840) - 3 members.

Gapgodex - (o'x"x)oxo - 'square-dyad disphenoid'-rectangle wedge verf (5760) - 75 members.

Gocagdex - (o'x"x)oox - trip antifastegium wedge verf (3840) - 139 members plus one fissary.

Gopoxagox - o(o'x"x)ox - trip fastegium wedge verf (3840) - 139 members plus one fissary.

Graxgox - o(o'x"x)xo - trigon podium-dyad disphenoid verf (3840)- 7 members, others are gacphix, gachopex, caquapox, gocipox, gocpanx, and gacnopex.

Gogradex - oo(o'x"x)x - tet podium pyramid verf (1920) - 15 members.

Gapargdox - (o'x"x)xxo - trapezoid-dyad disphenoid pyramid verf (11520) - 3 members, others are coquaprix and glacoprix.

Gocragadex - (o'x"x)xox - rectangle-trapezoid disphenoid verf (11520) - 9 members, others are quitprixog, gartprag, galtprix, galtprag, ratprigox, galtprixog, reltprigox, and glartprixog.

Gicpogadex - (o'x"x)oxx - rectangle-disphenoid wedge pyramid verf (11520) - 27 members.

Gicpragdex - (o'x"x)xxx - trapezoid tettene verf (23040) - 3 members, others are tagquipog and galtagpog.

Gapraxgox - o(o'x"x)xx - tet podium scalene verf (7680) - 7 members, others are gohtgarg, gathgreg, quitgarg, gitgreg, gnotgorg, and gotangorg.

Sacprokix - xxx(o'x"x) - skewed wedge scalene verf (23040) - 15 members.

Capartakix - xx(o'x"x)x - skewed wedge scalene verf (23040) - 15 members.

Gacprokix - x(o'x"x)xx - skewed wedge scalene verf (23040) - 15 members.

Sparkix - oxx(o'x"x) - skewed wedge scalenoid verf (11520) - 15 members.

Gaparkix - x(o'x'x)xo - skewed wedge scalenoid verf (11520) - 15 members.

Spatakix - ox(o'x"x)x - skewed trip wedge pyramid verf (11520) - 63 members.

Goptakix - xx(o'x"x)o - skewed trip wedge pyramid verf (11520) - 63 members.

Scopkix - xxo(o'x"x) - skewed trigonal antifastegium pyramid verf (7680) - 133 members plus 15 fissaries.

Gacpakix - xo(o'x"x)x - skewed trigonal antifastegium pyramid verf (7680) - 133 members plus 15 fissaries.

Scrokix - xox(o'x"x) - skew wedge || disphenoid verf (11520) - 171 members.

Gacrokix - x(o'x"x)ox - skew wedge || disphenoid verf (11520) - 171 members.

Drokix - ox(o'x"x)o - skewed trigonal skewed duowedge verf (5760) - 511 members.

Srokix - oox(o'x"x) - skewed trigon duowedge verf (3840) - 255 members.

Grokix - x(o'x"x)oo - skewed trigon duowedge verf (3840) - 255 members.

Gipkix - xo(o'x"x)o - trigon fastegium skewed antifastegium verf (3840) - ???? (perhaps hundreds or thousands).

Sipkix - oxo(o'x"x) - skewed trigon fastegium antifastegium verf (3840) - ???? (perhaps hundreds or thousands).

Cakix - xoo(o'x"x) - skewed tet antifastegium verf (1920) - 781 members.


Demihixics

Hax - ooo8x - rix verf (32) - 10 members plus at least 3 pure compounds. The other true members are xethet, dethet, that, taxhit, xedot, xhit, text, tax, and dotex.

Thax - ooo9x - tepe pyramid verf (480) - 7 members, others are texthat, tedthet, tathat, tetixhit, taxdot, toxhit

Sirhax - oox8x - triddip fastegium verf (640) - 138 members plus 15 fissaries.

Sophax - oxo8x - tet-oct fastegium verf (480) - ??? members (perhaps hundreds or thousands).

Sochax - xoo8x - pen-hex cupola verf (192) - 688 members plus a pure compound and over 1000 fissaries.

Girhax - oox9x - trigon-dyad disphenoid pyramid verf (1920) - 1 member.

Gophax - oxx9x - disphenoid pyrpyr verf (5760) - 1 member.

Gochax - xxx9x - irpenoid verf (11520) - 1 member.

Pithax - oxo9x - duowedge pyramid verf (2880) - 31 members.

Prohax - oxx8x - trip scalenoid verf (1920) - 7 members.

Cathix - xoo9x - trigon fastegium pyramid verf (1920) - 37 members plus one fissary.

Crohax - xox8x - trip fastegium wedge verf (1920) - 139 members plus one fissary.

Cophix - xxo8x - tet-oct cupola pyramid verf (960) - 56 members plus 20 fissaries.

Cagrohax - xox9x - trapezoid-dyad disphenoid pyramid verf (5760) - 3 members, others are recrothax and lacrothax.

Capthix - xxo9x - wedge scalene verf (5760) - 7 members, others are recapthix, lecapthix, focapthix, nacopthix, icapthix, and yucopthix.

Caprohax - xxx8x - skewed trip scalene verf (3840) - 7 members.


Jakics

Jak - oo8ox - hin verf (27) - 9 members plus four fissaries (dupjak, ippij, poj, and ripaj) and a pure compound (pok), others are kaje, daj, rijik, ridje, jay, idje, saje, and gaje. Jak is the Gosset polytope known as 221. There may be undiscovered sub-symmetric members.

Mo - oo6oo - dot verf (72) - 84 members plus 58 fissaries and 2 compounds (ye and ket), others are mak, quamhim, kim, moham, retom, mahrm, remote, rekam, ramhim, notom, nemak, nomhim, tok, kahm, them, rokham, hammit, homek, zok, dezak, jaz, jezik, jakij, dijit, dojek, jetaj, kedje, joj, zodje, dojez, jiquajaz, jequajak, quidjez, dajekiz, quadjek, jajez, jejek, rodjez, jarjaz, zardojek, jarj, tardej, jazaj, jezarj, karjezoj, ridej, ridjet, radjek, zoje, jenjez, jonjek, kandij, zetaj, kotaj, tojaz, jerdej, jazidoj, zitojek, ratoj, dajeznoj, zedjonj, nojazdoj, kazam, teje, dajodez, dejozak, zaquertej, quartjek, dejnaj, mozak, rajezdoj, rejakdej, odjedoz, odjazek, irtejaz, irtjek, natej, zejrom, radjej, jezardej, karntej, jarmz, and rintjek. Mo is known as 122.

Rojak - oo8xo - rap prism verf (216) - ?? members (perhaps scores or hundreds). Five of the others are rokaje, radaj, rorjik, roridje, and rojay.

Ram - oo9oo - triddip prism verf (720) - ??? members (perhaps hundreds). Four of the others are romak, rakim, rejakij, and roteje.

Tojak - oo8xx - rap pyramid verf (432) - 6 members, others are tekaje, tadaj, trijik, tridje, and tejay.

Tim - oo$oo - triddip pyramid verf (1440) - 5 members, others are temak, takim, tejakij, and teteje.

Hejak - oo6ox - pen-rap cupola verf (432) - 688 members plus one pure compound and over 1000 fissaries.

Harjak - oo6xo - tet fastegium verf (1080) - 125 members plus 11 fissaries.

Hotjak - oo6xx - tepe pyramid verf (2160) - 15 members.

Botajik - oo9xo - trip-dyad disphenoid verf (2160)- 3 members, others are bitkoj and botdaj.

Titajak - oo$xo - trigon-dyad disphenoid pyramid verf (4320) - 1 member.

Sirjak - oo9ox - tisdip wedge verf (2160) - ???? members (perhaps hundreds or thousands), two of the others are sirkaje and sirdaj.

Shorjak - oo$ox - trip wedge pyramid verf (4320) - 15 members.

Shopjak - oox8ox - ope || tet verf (1080) - ??? members (perhaps hundreds or thousands).

Spojak - ox6ox - trigon fastegium antifastegium verf (4320) - ??? (perhaps hundreds or thousands).

Barm - ox8xo - trigon duofastegium verf (2160) - 143 members plus 13 fissaries.

Sram - ox6xo - duowedge wedge verf (6480) - 287 members.

Trim - xo8ox - hex antiprism verf (270) - 557 members plus over 680 fissaries. Five of these are noble.

Spam - xo6ox - tet-antiprism - oct cupolifastegium verf (2160) - ???? (perhaps hundreds or thousands).

Girjak - oo9xx - trip pyrpyr verf (4320) - 3 members, others are girkaje and girdaj.

Ghorjak - oo$xx - trigon irtetoid verf (8640) - 1 member.

Ghopjak - ox9xx - disphenoid scalene verf (12960) - 1 member.

Gram - ox$xo - disphenoid scalene verf (12960) - 1 member.

Gapjak - ox$xx - irpenoid verf (25920) - 1 member.

Gabrim - xx9xx - irpenoid verf (25920) - 1 member.

Bitem - ox9xo - trisphenoid verf (6480) - 1 member.

Gopam - xx$xx - irregular hix verf (51840) - 1 member.

Hopitjak - ox8xx - trigon fastegium pyramid verf (4320) - 37 members plus one fissary.

Potjak - ox6xx - duowedge pyramid verf (12960) - 63 members.

Haprojak - ox9ox - wedge-dyad disphenoid (6480) - 7 members, others are rahperjek, lohperjek, fahperjak, nahperjak, ihoprojak, and yahperjek.

Projak - ox$ox - rectangle-dyad disphenoid verf (12960) - 3 members, others are reprojak and laprojak.

Catjak - xo8xx - tet-oct cupola pyramid verf (2160) - 56 members plus 20 fissaries.

Hictijik - xo6xx - trigon antifastegium skewed pyramid verf (8640) - 133 members plus 15 fissaries.

Sabrim - xo9ox - cube-disphenoid wedge verf (6480) - ???? members (perhaps hundreds or thousands).

Patom - xo$ox - square-disphenoid wedge pyramid verf (12960) - 18 members.

Cograjik - xo9xx - wedge scalene verf (12960) - 7 members, others are recgrajik, lacgrajik, facgarjek, nacgarjek, icgrajik, and yucgarjek.

Hocgarjik - xo$xx - rectangle tettene verf (25920) - 3 members, others are rhocagrajik and lahcagarjik.

Titam - xx8xx - trip skewed scalene verf (8640) - 5 members, others are totamak, totakim, totajakij, and totateje.

Prom - xx6xx - skewed trip scalene verf (25920) - 11 members, others are raprom, leprom, fopram, neprim, ipram, yeprom, recaptej, locaptoj, necaptej, and yecoptej.



Misc

Ontip - ??? - blend of two stoxog verfs (1536) - 8 members (this is the 6-D version of ondip) plus several scaliforms.

Gontip - ??? - blend of two goxaxog verfs (1536) - 8 members (this is the 6-D version of gondip) plus several scaliforms.



Regiments of 7 Dimensions

Ocaics

Oca - oooooox - hep verf (8) - 1 member.

Roc - oooooxo - hix prism verf (28) - 15 members.

Broc - ooooxoo - trigon-pen duoprism verf (56) - ?? members.

He - oooxooo - tet duoprism verf (70) - ?? members.

Toc - oooooxx - hix pyramid verf (56) - 1 member.

Bittoc - ooooxxo - pen disphenoid verf (168) - 1 member.

Tattoc - oooxxoo - tet-triangle disphenoid verf (280) - 1 member.

Saro - ooooxox - pen wedge verf (168) - 63 members.

Spo - oooxoox - tet-triangle antifastegium verf (280) - ??? members.

Sabro - oooxoxo - tet duowedge verf (420) - 255 members.

Sco - ooxooox - triangle-tet antifastegium verf (280) - ??? members.

Sibpo - ooxooxo - ox xo o || oo ox x verf (560) - ??? members.

Stiroh - ooxoxoo - duotriangle wedge verf (560) - 159 members.

Seto - oxoooox - pen antifastegium verf (168) - ??? members.

Sabach - oxoooxo - tet duoantifastegium verf (420) - ??? members.

Suph - xooooox - hix antiprism verf (56) - 39 members, others are hathah, puchah, catado, tadpudo, otto, octdepo, chathah, phah, chah, hipthah, hippo, capdeto, hicpo, padeto, opto, octepo, optaco, patoo, hehah, patchah, tehah, hupchah, otco, tadupoo, noto, catdipado, hechah, puthah, huphah, tachah, napo, thupaco, necapo, thupo, tapedo, catpedo, putedo, and cuptado.

Garo - ooooxxx - pen scalene verf (336) - 1 member.

Gapo - oooxxxx - tet tettene verf (1680) - 1 member.

Gabro - oooxxxo - tet disphenoid pyramid verf (840) - 1 member.

Gecco - ooxxxxx - triangle pennene verf (6720) - 1 member.

Gibpo - ooxxxxo - triangle disphenoid scalene verf (3360) - 1 member.

Gatroh - ooxxxoo - triangle duodisphenoid pyramid verf (1120) - 1 member.

Geto - oxxxxxx - bilateral hep verf (20160) - 1 member.

Gabach - oxxxxxo - disphenoid tettene verf (10080) - 1 member.

Guph - xxxxxxx - irregular hep verf (40320) - 1 member.

Patto - oooxoxx - tet wedge pyramid verf (840) - 31 members.

Paro - oooxxox - tet - trapezoid disphenoid verf (840) - 3 members, others are reparo and leparo.

Bipto - ooxoxxo - triangle wedge disphenoid verf (1680) - 15 members.

Bipro - ooxxoxo - wedge-triangle disphenoid verf (1680) - 7 members, others are rabipro, labipro, fabipro, nabipro, ibipro, and yubipro.

Cato - ooxooxx - triddip antifastegium pyramid verf (1120) - 138 members.

Caro - ooxoxox - ox x o : oo x x : oo o x scalenic verf (1680) - ??? members.

Cepo - ooxxoox - triangle antiprism - triangle disphenoid verf (1120) - 7 members, others are cepho, chepo, cerpo, cipo, cepno, and cenpo.

Cagro - ooxoxxx - triangle wedge scalene verf (3360) - 15 members.

Capto - ooxxoxx - trapezoid-triangle disphenoid pyramid verf (3360) - 3 members, others are crapto and clapto.

Capro - ooxxxox - trapezoid-triangle disphenoid pyramid verf (3360) - 3 members, others are caprero and caplero.

Bacto - oxooxxo - triangle antifastegium disphenoid verf (1680) - 37 members plus one fissary.

Bacroh - oxoxoxo - centralized triple wedge verf (2520) - ??? members.

Bacogro - oxoxxxo - wedge disphenoid pyramid verf (5040) - 7 members, others are robcagro, labcagro, fabcogro, nabcogro, ibcagro, and yobcagro.

Bicpath - oxxoxxo - trapezoid disphenoid disphenoid verf (5040) - 3 members, others are rubicpath and lubicpath.

Teto - oxoooxx - tet antifastegium pyramid verf (840) - 125 members plus 11 fissaries.

Tero - oxooxox - x xo o : o ox x : o oo x scalenic verf (1680) - ???? members.

Tepo - oxoxoox - x x oo : o x xo : o o ox scalenic verf (1680) - ???? members.

Teco - oxxooox - tet antipodium disphenoid verf (840) - 15 members.

Tegro - oxooxxx - triangle antifastegium scalene verf (3360) - 37 members plus one fissary.

Tapto - oxoxoxx - x x o : o x x : o o x scalenic pyramid verf (5040) - 75 members (some may be fissary).

Tecto - oxxooxx - triangle antipodium disphenoid pyramid verf (3360) - 7 members, others are tacheto, thecto, trecto, tacito, tecneto, and tanecto.

Tacpo - oxxxoox - triangle antipodium disphenoid pyramid verf (3360) - 7 members, others are tacpho, tachepo, tecrapo, tacipo, tacpano, and tecnapo.

Tapro - oxoxxox - trapezoid-wedge disphenoid verf (5040) - 21 members, others are taprero, taplero, rotapro, ratprero, retplaro, lotapro, latprero, letplaro, fatopro, fatprero, fatplaro, notapro, natprero, natplaro, itepro, itprero, itplaro, yutapro, yetprero, and yetplaro.

Tecro - oxxoxox - antiduowedge disphenoid verf (5040) - 27 members.

Tegapo - oxoxxxx - wedge tettene verf (10080) - 7 members, others are rotagpo, lotagpo, fategpo, nategpo, itagpo, and yutegpo.

Tecagro - oxxoxxx - trapezoid disphenoid scalene verf (10080) - 3 members, others are retcagro and letcagro.

Tacpeto - oxxxoxx - trapezoid disphenoid scalene verf (10080) - 3 members, others are ratcapeto and letcapeto.

Tacpro - oxxxxox - trapezoid disphenoid scalene verf (10080) - 3 members, others are rotacpro and lotacpro.

Puto - xooooxx - pen antipodium pyramid verf (336) - 31 members.

Puro - xoooxox - tet antifastegium wedge verf (840) - ???? members.

Puph - xooxoox - antiduotriangle wedge verf (1120) - ???? members.

Pugro - xoooxxx - tet antipodium scalene verf (1680) - 15 members.

Pupro - xooxxox - 'triangle antipodium' - trapezoid disphenoid verf (3360) - 21 members.

Pupato - xooxoxx - ox x : xo o : oo x scalenic pyramid verf (3360) - 139 members.

Pucto - xoxooxx - ox x : xo o : oo x scalenic pyramid verf (3360) - 139 members.

Pucroh - xoxoxox - x o o : x x o : o x x : o o x tettenic verf (5040) - ???? members.

Putath - xxoooxx - tet antiprism scalene verf (1680) - 11 members.

Pugopo - xooxxxx - triangle antipodium tettene verf (6720) - 7 members, others are hupgopo, phugopo, purgopo, ipugopo, nupgopo, and pungopo.

Pugaco - xoxxxxx - trapezoid pennene verf (20160) - 3 members, others are rupgaco and lupgaco.

Pucproh - xoxxxox - trapezoid double disphenoid pyramid verf (10080) - 6 members, others are rupcaproh, lupcaproh, rupcapreroh, rupcaplaroh, and lupcaplaroh.

Pucagro - xoxoxxx - antiduowedge scalene verf (10080) - 27 members.

Pucpato - xoxxoxx - trapezoid double disphenoid pyramid verf (10080) - 9 members, others are pucrapto, puclepto, rupcapto, rupcarpto, rupclepto, lupcapto, lupcarpto, and lupclepto.

Putagro - xxooxxx - triangle antipodium tettene verf (6720) - 7 members, others are puthegro, phutagro, purtegro, putigro, putangro, and puntagro.

Putpath - xxoxoxx - antiduowedge scalene verf (10080) - 18 members.

Putgapo - xxoxxxx - trapezoid pennene verf (20160) - 3 members, others are ruptagepo and luptegapo.

Putcagroh - xxxoxxx - trapezoid pennene verf (20160) - 3 members, others are ruptcagroh and luptcagroh.


Heptics

Hept - oooooo'x - hep verf (128) - 1 member, this is the hepteract or 7-D cube.

Zee - xooooo'o = xooo8o - gee verf (14) - 8 members, one is guhsa (the 7-D variant of thah). Zee is the 7-D cross polytope.

Rasa - ooooox'o = oooo6x - hix prism verf (448) - 39 members.

Rez - oxoooo'o = oxoo8o - tac prism verf (84) - ???? members, one of them is reguhsa.

Bersa - ooooxo'o = oooo9o - square-pen duoprism (squapen) verf (672) - ?????? members, could be myriads, one is targuhsa.

Barz - ooxooo'o = ooxo8o - triangle-hex duoprism (trahex) verf (280) - ???? members, one is barguhsa.

Sez - oooxoo'o = ooox8o - tet-oct duoprism (tetoct) verf (560) - ????? members, one is traguhsa.

Tasa - ooooox'x - hix pyramid verf (896) - 1 member.

Taz - xxoooo'o = xxoo8o - tac pyramid verf (168) - 2 members, the other is teguhsa.

Betsa - ooooxx'o = oooo$x - pen disphenoid verf (2688) - 1 member.

Botaz - oxxooo'o = oxxo8o - hex disphenoid verf (840) - 2 members, the other is betguhsa.

Tatsa - oooxxo'o = ooox9o - square-tet disphenoid verf (3360) - 2 members, the other is tutguhsa.

Totaz - ooxxoo'o = ooxx8o - triangle-oct disphenoid verf (2240) - 2 members, the other is tatguhsa.

Sersa - ooooxo'x - pen wedge verf (2688) - 63 members.

Sarz - xoxooo'o = xoxo8o - hex wedge verf (840) - ????? members.

Spesa - oooxoo'x - tet-triangle antifastegium verf (4480) - ???? members.

Spaz - xooxoo'o = xoox8o - oct-triangle antifastegium verf (2240) - ?????? members.

Sibrosa - oooxox'o = ooox6x - tet duowedge verf (6720) - 639 members.

Sebraz - oxoxoo'o = oxoo9o - oct duowedge verf (3360) - ?????? members.

Scosa - ooxooo'x - triangle-tet antifastegium verf (4480) - ????? members.

Scaz - xoooxo'o = xooo9o - square-tet antifastegium verf (3360) - ?????? members.

Sibposa - ooxoox'o = ooxo6x - ox xo o || oo ox x verf (8960) - ????? members.

Sibpaz - oxooxo'o = oxoo9o - o'x xo o || o'o ox x verf (6720) - ?????? members.

Strasaz - ooxoxo'o = ooxo9o - triangle-square wedge verf (6720) - ???? members.

Stesa - oxoooo'x - pen antifastegium verf (2688) - ??? members.

Staz - xoooox'o = xooo6x - pen antifastegium verf (2688) - ???? members.

Sabcosaz - oxooox'o = oxoo6x - tet duoantifastegium verf (6720) - ????? members.

Suposaz - xooooo'x - hix antipodium verf (896) - 63 members.

Gersa - ooooxx'x - pen scalene verf (5376) - 1 member.

Garz - xxxooo'o = xxxo8o - hex scalene verf (1680) - 2 members, the other is garguhsa.

Gapsa - oooxxx'x - tet tettene verf (26880) - 1 member.

Gopaz - xxxxoo'o = xxxx8o - oct tettene verf (13440) - 2 members, the other is gopguhsa.

Gibrosa - ooxxxx'o = ooxx$x - tet disphenoid pyramid verf (13440) - 1 member.

Gebraz - oxxxxo'o = oxxx9o - oct disphenoid pyramid verf (6720) - 2 members, the other is gebraguhsa.

Gacosa - ooxxxx'x - triangle pennene verf (107520) - 1 member.

Gocaz - xxxxxo'o = xxxx9o - square pennene verf (80640) - 2 members, the other is gocaguhsa.

Gibposa - ooxxxx'o = ooxx$x - triangle disphenoid scalene verf (53760) - 1 member.

Gibpaz - oxxxxo'o = oxxx9o - square disphenoid scalene verf (40320) - 2 members, the other is gibpaguhsa.

Gotrasaz - ooxxxo'o = ooxx9o - triangle-square disphenoid pyramid verf (13440) - 2 members, the other is gotraguhsa.

Gotesa - oxxxxx'x - bilateral hep verf (322560) - 1 member.

Gotaz - xxxxxx'o = xxxx$x - bilateral hep verf (322560) - 1 member.

Gabcosaz - oxxxxx'o = oxxx$x - disphenoid tettene verf (161280) - 1 member.

Guposaz - xxxxxx'x - irregular hep verf (645120) - 1 member.

Petsa - oooxox'x - tet wedge pyramid verf (13440) - 31 members.

Potaz - xxoxoo'o = xxox8o - oct wedge pyramid verf (6720) - 290 members.

Parsa - oooxxo'x - trapezoid - tet disphenoid verf (13440) - 3 members, others are sarzdesa and slapersa.

Parz - xoxxoo'o = xoxx8o - trapezoid - oct disphenoid verf (6720) - 6 members, others are rippirz, lippirz, parguhsa, rippergahsa, and lippergahsa.

Biptesa - ooxoxx'o = ooxo$x - triangle wedge disphenoid verf (26880) - 15 members.

Baptize - oxxoxo'o = oxxo9o - square wedge disphenoid verf (20160) - 93 members.

Bopresa - ooxxox'o = ooxx6x - triangle-wedge disphenoid verf (26880) - 11 members, others are ribpresa, libpresa, fibpresa, nabpersa, ibpersa, yobparsa, rutpatog, lotpatog, nutpoteg, and yutpoteg.

Boparz - oxoxxo'o = oxox9o - square-wedge disphenoid verf (20160) - 14 members, others are ribparz, libparz, fibparz, nabparz, ibparz, yobparz, bopergahsa, robaprighsa, lobaprighsa, fobaprighsa, naboprighsa, iboprighsa, and yuboprighsa.

Catsa - ooxoox'x - triddip antifastegium pyramid verf (17920) - 138 members.

Catz - xxooxo'o = xxoo9o - tisdip antifastegium pyramid verf (13440) - ???? members.

Carsa - ooxoxo'x - ox x o : oo x x : oo o x scalenic verf (26880) - ???? members.

Craze - xoxoxo'o = xoxo9o - o'x x o : o'o x x : o'o o x scalenic verf (20160) - ????? members.

Capsa - ooxxoo'x - 'triangle antipodium' - triangle disphenoid verf (17920) - 7 members, others are sichapsa, sicphesa, sridsaz, sicopsa, sicnapsa, and sicpansa.

Copaz - xooxxo'o = xoox9o - 'triangle antipodium' - square disphenoid verf (13440) - 14 members, others are chopaz, caphoz, recopaz, icapez, canopaz, copanoz, copaguhsa, chopaguhsa, caphogahsa, recpagehsa, icpagehsa, canpoguhsa, and capnaguhsa.

Cogarsa - ooxoxx'x - triangle wedge scalene verf (53760) - 15 members.

Cogarz - xxxoxo'o - square wedge scalene verf (40320) - 93 members.

Captesa - ooxxox'x - trapezoid-triangle disphenoid pyramid verf (53760) - 3 members, others are sracpetasa and slicpetasa.

Captaz - xxoxxo'o = xxox9o - trapezoid-square disphenoid pyramid verf (40320) - 6 members, others are recaptez, lacoptez, captighsa, recaptighsa, and locaptighsa.

Copresa - ooxxxo'x - trapezoid-triangle disphenoid pyramid verf (53760) - 3 members, others are soprazdesa and silcparsa.

Caparz - xoxxxo'o = xoxx9o - trapezoid-square disphenoid pyramid verf (40320) - 6 members, others are recaperz, lacaperz, caprighsa, rocprighsa, and lacprighsa.

Bactasa - oxooxx'o = oxoo$x - triangle antifastegium disphenoid verf (26880) - 37 members plus one fissary.

Boctaz - oxxoox'o = oxxo6x - triangle antifastegium disphenoid verf (26880) - 85 members plus 8 fissaries.

Bacresaz - oxoxox'o = oxox6x - centralized triple wedge verf (40320) - ??? members.

Becgresa - oxoxxx'o = oxox$x - wedge disphenoid pyramid verf (80640) - 7 members, others are robecgrasa, labicgrasa, fobicgarsa, nabicgarsa, ibicgresa, and yubicgresa.

Becogarz - oxxxox'o = oxxx6x - wedge disphenoid pyramid verf (80640) - 11 members, others are rabecagraz, lobacograz, fabicagrez, nabocagrez, ibcagarz, yobacogriz, rubicgreg, lobicgreg, nabicgreg, and yubicgarg.

Bocaptosaz - oxxoxx'o = oxxo$x - trapezoid duodisphenoid verf (80640) - 3 members, others are rubicpetsaz and lubicpetsaz.

Tetsa - oxooox'x - tet antifastegium pyramid verf (13440) - 125 members plus 11 fissaries.

Tetaz - xxooox'o = xxoo6x - tet antifastegium pyramid verf (13440) - 453 members.

---- More to come ----


Back to polychoron page