# Category 1: Primary Polypeta

The primary polypeta consists of the three regular polypeta (heptapeton - hop, hexeract - ax, and hexacross (64-peton) - gee) as well as the demihexeract - hax, the E6 polytope - jak, and 122 - mo and their facetings. There are 246 primaries known along with several fissaries and compounds within the regiments here.

Above is a 'room' of 'jab sections' of Dethet, one of the members of the hax regiment. Jab sections are cross sections of cross sections of cross sections. Notice that most of the jab sections are hidden inside - if only there was a way to click away the layers - if only there was a way. . . . . . . . . DUDE, take a hint, click the picture and watch what happens.

## Three Regulars

These three are regular, orientable, convex and tame and are the most famous six dimensional polytopes. The verfs are above in poke sections.

1. Hop - (HOP) heptapeton, also known as the 6-simplex. The symbol is ooooox. This polypeton is the simplest one, it has 7 hixes for it's "petons" and has 7 vertices. Its verf is a hix. This is the 6-D version of the tetrahedron. I usually refer to it's symmetry group as "hopic".

2. Ax - (AX) hexeract, 6-cube, or dodecapeton. This is the 6-D cube. The symbol is ooooo'x. This polypeton is the "block" (or measure) polytope of dimension 6, it has 12 penteracts for it's petons and 64 verts. Its verf is a hix. I usually call its symmetry group "axic".

3. Gee - (GEE) hexacontatetrapeton, or better known as hexacross. The symbol is xoooo'o, it can also be symbolized as xoo8o. This polypeton is the 6-D version of an oct, it has 64 hixes for its petons and 12 verts. Its verf is a tac. It also has five other regiment members. Hex has axic symmetry.

## Gee Facetings

These five have 12 vertices and are non-orientable, the first has haxic symmetry and the rest have hixap (hix antiprism) symmetry. Their verfs are facetings of tac. Only thox is tame, the others are wild. The verfs are above in poke sections.

4. Thox - (THOKS) triacontadihemihexeract, can also be called the hemihexacross - it is the 6-D version of thah. It has 32 hixes and 6 tacs as petons. Its verf is a hehad.

5. Xhap - (ZHAP) hexateric hemiantiprism. It has 52 hixes and 6 phaps. The hixes are in the 1, 15, and 20 positions where the hixes form a 1 6 15 20 15 6 1 pattern.

6. Ixhap - (IK shap) invertihexateric hemiantiprism. It has 12 hixes and 6 phaps. The hixes are in the '6' locations.

7. Nixap - (NIK sap) spinoinvertihexateric antiprism. It has 20 hixes and 6 nophaps. The hixes are in the '20' positions - aka the middle positions.

8. Xiap - (ZI ap) hexateric inverted antiprism. It has 44 hixes and 6 nophaps. The hixes are in the 1, 6, and 15 positions.

## Hax Regiment

The hax regiment had ten members and three compounds, now it appears to have 18 compounds and a whopping 145 true polytope members plus 66 fissaries, six (five polytopes and one fissary) of them were just mistaken to crash, but they seem to work. All of the others are a result of the tratets being able to split in all sorts of ways due to hax being uniform under a 6-D demi-brick symmetry, this resulted in 13 distinct ways to orient 80 tratets which allowed for the triddips to be free to connect to other polytera. I refer to the symmetry as haxic. Hax's verf is a rix. It has 32 vertices. Above are the vertex figures of the full symmetric members of the hax regiment rendered in poke sections. Hax is formed by alternating the vertices of the hexeract. The facet regiments are hix, hin, rix, dot (central), tratet (which can split into 20 different classes and remain uniform, each orienting with three of the six dimensions), and hexip (which is never used and is central). The first 16 have hax symmetry as well as the first compound, they are listed first. The next two compounds have a demi 'cube duoprism' symmetry. The others have variant demi-brick symmetries. I split up the hax regiment into four sections. This section only deals with the full symmetric ones. The next three deal with less symmetric ones - first are the compounds, then the true polytopes, then finally the fissary ones. Hax, xedot, and wa are orientable. I suspect that dotex is also orientable, but I'm not 100% sure yet. All the others in this segment are non-orientable.

9. Hax - (HAKS) demihexeract, also known as the hemihexeract. The symbol is ooo8x. This polypeton is semiregular. It has 12 hins and 32 hixes.

10. Xethet - (ZEH thet) hexeracti32hemi32. It has 12 hins, 32 rixes, and 16 dots (dots go through the center). Its verf is a cabnix.

11. Dethet - (DEH thet) dis32hemi32. It has 32 hixes, 32 rixes, and 16 dots. Its verf is a firx.

12. That - (THAT) 32hemi32. It has 12 dahs and 32 rixes. Its verf is a cax.

13. Taxhit - (TAK shit) 32hexeractihemi32. It has 12 dahs, 32 hixes, and 16 dots. Its verf is a baddix.

14. Xedot - (ZEE dot) hexeractidis32. It has 12 hans, 32 rixes, and 32 hixes. Its verf is a cindax.

15. Xhit - (ZHIT) hexeractihemi32. It has 12 hans and 16 dots. Its verf is a nobax.

16. Text - (TEXT) 32hexeracti32. It has 12 radahs, 32 caxes, and 32 hixes.

17. Tax - (TAX) 32hexeract. It has 12 rinahs and 32 caxes.

18. Dotex - (DO tex) dis32hexeract. It has 12 hits, 32 cindaxes, and 32 hixes.

19. Rexthat - (REKS that) retrohexeracti32hemi32. It has 12 radahs, 32 firxes, and 16 bads.

20. Nixed That - (NIKST that) spinohexeractidis32hemi32. It has 12 hits, 32 hixes, 32 firxes, and 16 bends.

21. Ridthat - (RID that) retrodis32hemi32. It has 32 hixes, 32 baddixes, and 16 bads.

22. Ixthet - (IKS thet) inverted hexeracti32hemi32. It has 12 hins, 32 baddixes, and 16 bads.

23. Nothat - (not THAT) spino32hemi32. It has 32 nobaxes and 16 bends.

F1. Xodthat - (ZOD that) hexeractidis32hemi32. It has 12 rinahs, 32 hixes, 32 firxes, and 16 bads.

C1. Wa - (WAH) 160-peton. It has 160 tratets and is a compound of 20 tetdips (tet duoprisms).

## Hax Regiment - Sub-Symmetric Compounds

There are 18 compounds of tetdips in the hax regiment, the first compound wa is mentioned in the above section, the other 17 have a subset of the tetdips of wa, they are mentioned below. Their verfs are shown above. The 20 potential tetdips in hax can be labeled in a certain way due to a tet being a demicube and a tetdip is actually a demicube squared. Each tet can be labelled with three of the six dimensions and therefore the tetdip can be labeled like this: 123-456, which represents a tet in dimensions 1,2, and 3 multiplied by a tet in dimensions 4,5, and 6. There are two tetdips with each of the 10 possible labels. 123-456, 124-236, 125-346, 126-345, 134-256, 135-246, 136-245, 145-236, 146-235, and 156-234. It is this split that allows for all of these compounds. Not all of these have all of the edges of hax and are technically not a regiment member, but could be in a sub-regiment. These are orientable.

C2. Eh - (EH) 16-peton. It has 16 tratets and is a compound of 2 tetdips, it is half of a stella octangula duoprism.

C3. Fu - (FOO) 144-peton. It has 144 tratets and is a compound of 18 tetdips. It is wa-eh (wa minus eh) and is therefore a compound of 9 ehs.

C4. At - (AT) 32-peton. It has 32 tratets and is a compound of 4 tetdips. It is also a compound of two ehs.

C5. Za - (ZA) 128-peton. It has 128 tratets and is a compound of 16 tetdips. It is wa-at. It is a compound of 8 ehs.

C6. Ec - (EK) 48-peton. It has 48 tratets and is a compound of 6 tetdips. It is a compound of 3 ehs. The verf's vertices consist of one with 3 tetdips meeting there, 3 with two there, and 9 with one meeting there.

C7. Kec - (KEK) skewed 48-peton. It has 48 tratets and is a compound of 6 tetdips. It is also a compound of 3 ehs, even though the verf's sections look less symmetric, it actually has a skewed hexagon symmetry and is more symmetric. The vertices of the verf consist of 6 with 2 tetdips meeting there and 6 with one meeting there.

C8. La - (LA) 112-peton. It has 112 tratets and is a compound of 14 tetdips. It is wa-ec. It is a compound of 7 ehs.

C9. Kal - (KAL) skewed 112-peton. It has 112 tratets and is a compound of 14 tetdips. It is wa-kec and is therefore a 7 eh compound.

C10. Fig - (FIG) fissal 64-peton. It has 64 tratets and is a compound of 8 tetdips. It is a compound of 4 ehs. Even though it doesn't look it, it has the greatest symmetry of the 4-eh compounds. All 12 vertices of the verf are actually congruent with two tetdips meeting there giving the verf a skewed hemi-octahedron symmetry.

C11. Sag - (SAG) small 64-peton. It has 64 tratets and is a compound of 8 tetdips. It is also a 4 eh compound. It's verf's vertices consists of 2 with 3 tetdips meeting there, 6 with two, and 6 with one.

C12. Gag - (GAG) great 64-peton. It has 64 tratets and is a compound of 8 tetdips. This 4-eh compound has a verf where its vertices consist of one with 4 tetdips meeting, 6 with two, and 8 with one. Its verf has tetrahedral symmetry.

C13. An - (AN) 96-peton. It has 96 tratets and is a compound of 12 tetdips. This one is wa-fig. It is a compound of 6 ehs. An's verf has skewed hemi-octahedral symmetry. Let's give Ann an An.

C14. Gen - (JEN) great 96-peton. It has 96 tratets and is a compound of 12 tetdips. It is a compound of 6 ehs and it is wa-sag.

C15. Sen - (SEN) small 96-peton. It has 96 tratets and is a compound of 12 tetdips. It is a compound of 6 ehs and it is wa-gag.

C16. Go - (GO) great 80-peton. It has 80 tratets and is a compound of 16 tetdips. This compound of 5 ehs has a verf where its vertices consist of 4 with 3 tetdips meeting, 2 with one, and 7 with 2.

C17. Os - (OS) small 80-peton. I reversed the short name to distinguish it from so. It has 80 tratets and is a compound of 16 tetdips. It is a 5 eh compound and it is also wa-go. Its verf's vertices come in one 4-fold, 4 one-fold, 2 three-fold, and 7 two-fold types.

C18. O - (OH) 80-peton. It has 80 tratets and is a compound of 16 tetdips. It is a compound of 5 ehs. It is also wa-o - in other words 2 o's make a wa. It's verf vertices come in these flavors: 3-fold, 2-fold, and 1-fold - five of each type.

## Hax Regiment - Sub-Symmetric Polytopes

There are 130 subsymmetric hax members. What happens here, is that the tetdips can be split in half resulting in 80 tratets in the facets. The tetdips connect to each other by tepes, but we exposed the triddips to connect to other facets. Due to the symmetry split seen in the compounds, this allows for the half-tetdips to take on multiple orientations - 13 to be exact. Tetdips can be halved in the following way: a 123-456 tetdip can split into a 123 and a 456 half-tetdip. A half-tetdip is actually a solid tet multiplied by a hollow tet. There are 10 possible facet configurations that need their triddips matched, and with 13 configurations of half-tetdips - that leads to 130 new hax members. It would also be a good idea to mention the orientations. The graphs below is what helped me to find them, I needed to check 1024 combinations, but narrowed it down to 256 which I got POV-Ray to render. After checking them I found these twelve types of graphs. Each vertex in the graphs represent a dimension. A line would represent a square in a hypercube, but would be only a diagonal in the demicubes, which are the actual edges. So each edge represents a vertex in the verf. A triangle represents a tet or demicube in 3-D. In a half tetdip, one triangle of an opposite pair are chosen to represent the solid tet part of the tet times hollow tet. The edges are color coded to represent how many triangles attach to the edge. Black = 4, blue = 3, pink = 2, green = 1, and empty = 0. All grids can be formed in one way, except for the one labelled 6&7 which can be formed in two ways, one way by selecting the green triangle (6) and the other by selecting the blue (7).

Above are the verfs of the 13 members with root 1 'othet', which are listed below. These are non-orientable.

24. Sothet - (SO thet) small 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 1.

25. Gothet - (GO thet) great 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 2.

26. Stothet - (STO thet) small trigonic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 3.

27. Taothet - (TA yo thet) trigonic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 4.

28. Getothet - (get O thet) great trigonic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 5.

29. Sheothet - (SHE yo thet) small hexattic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 6.

30. Gheothet - (GEE yo thet) great hexattic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 7.

31. Kehothet - (ke HO thet) skew-hexattic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 8.

32. Sedothet - (se DO thet) small disphenic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 9.

33. Gedothet - (ge DO thet) great disphenic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 10.

34. Keothet - (KEE yo thet) skewed 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 11.

35. Deothet - (DEE yo thet) disphenic 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 12.

36. Tekothet - (te KO thet) triskewed 80-32hemi32-peton. It has 16 bads, 32 caxes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 2 'oxthet', which are listed below. I'm not sure of the orientability of these, but rendered the verfs as non-orientable.

37. Soxthet - (SOX thet) small 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 1.

38. Goxthet - (GOX thet) great 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 2.

39. Stoxthet - (STOX thet) small trigonic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 3.

40. Toxthet - (STOX thet) trigonic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 4.

41. Getoxthet - (get OX thet) great trigonic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 5.

42. Sheoxthet - (SHOX thet) small hexattic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 6.

43. Gheoxthet - (gee YOX thet) great hexattic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 7.

44. Kehoxthet - (ke HOX thet) skew-hexattic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 8.

45. Sedoxthet - (se DOX thet) small disphenic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 9.

46. Gedoxthet - (ge DOX thet) great disphenic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 10.

47. Koxthet - (KOX thet) skewed 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 11.

48. Deoxthet - (de YOX thet) disphenic 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 12.

49. Tekoxthet - (te KOX thet) triskewed 80hexeract32hemi32-peton. It has 12 radahs, 32 hixes, 16 bads, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 3 'odthet', which are listed below. These and all other non-fissary members of the hax regiment following this section are non-orientable.

50. Sodthet - (SOD thet) small 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 1.

51. Godthet - (GOD thet) great 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 2.

52. Stodthet - (STOD thet) small trigonic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 3.

53. Todthet - (TOD thet) trigonic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 4.

54. Getodthet - (Get TOD thet) great trigonic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 5.

55. Sheodthet - (she YOD thet) small hexattic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 6.

56. Gheodthet - (gee YOD thet) great hexattic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 7.

57. Kehodthet - (kee HOD thet) skew-hexattic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 8.

58. Sedodthet - (see DOD thet) small disphenic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 9.

59. Gedodthet - (gee DOD thet) great disphenic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 10.

60. Kodthet - (KOD thet) skewed 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 11.

61. Dodthet - (DOD thet) disphenic 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 12.

62. Tekodthet - (tee KOD thet) triskewed 80dis32hemi32-peton. It has 32 hixes, 16 bends, 32 cindaxes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 4 'xohet', which are listed below.

63. Saxohet - (SAK so het) small hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 1.

64. Gaxohet - (GAK so het) great hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 2.

65. Staxohet - (STAK so het) small trigonic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 3.

66. Taxohet - (TAK so het) trigonic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 4.

67. Getaxohet - (ge TAK so het) great trigonic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 5.

68. Shexohet - (SHEK so het) small hexattic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 6.

69. Ghexohet - (GEK so het) great hexattic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 7.

70. Khexohet - (KEK so het) skew-hexattic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 8.

71. Sedaxohet - (se DAK so het) small disphenic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 9.

72. Gedaxohet - (ge DAK so het) great disphenic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 10.

73. Kaxohet - (KAK so het) skewed hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 11.

74. Dexohet - (DEK so het) disphenic hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 12.

75. Tekaxohet - (te KAK so het) triskewed hexeracti80hemi32-peton. It has 12 hits, 16 bends, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 5 'tohat', which are listed below.

76. Satohat - (SAT o hat) small 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 1.

77. Gatohat - (GAT o hat) great 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 2.

78. Statohat - (STAT o hat) small trigonic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 3.

79. Tatohat - (TAT o hat) trigonic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 4.

80. Getatohat - (ge TAT o hat) great trigonic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 5.

81. Shetohat - (SHEH to hat) small hexattic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 6.

82. Ghetohat - (GEH to hat) great hexattic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 7.

83. Khetohat - (KEH to hat) skew-hexattic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 8.

84. Sedatohat - (se DAT o hat) small disphenic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 9.

85. Gedatohat - (ge DAT o hat) great disphenic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 10.

86. Katohat - (KAT o hat) skewed 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 11.

87. Detohat - (DET o hat) disphenic 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 12.

88. Tektohat - (TEK to hat) triskewed 32-80hemi32-peton. It has 16 dots, 32 cabnixes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 6 'odtex', which are listed below.

89. Sodtex - (SOD tex) small 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 1.

90. Godtex - (GOD tex) great 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 2.

91. Stodtex - (STOD tex) small trigonic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 3.

92. Toadtex - (TODE tex) trigonic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 4.

93. Getodtex - (ge TOD tex) great trigonic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 5.

94. Sheodtex - (she YOD tex) small hexattic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 6.

95. Gheodtex - (ge YOD tex) great hexattic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 7.

96. Kehodtex - (ke HOD tex) skew-hexattic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 8.

97. Sedodtex - (se DOD tex) small disphenic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 9.

98. Gedodtex - (ge DOD tex) great disphenic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 10.

99. Kodtex - (KOD tex) skewed 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 11.

100. Deodtex - (de YOD tex) disphenic 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 12.

101. Tekodtex - (te KOD tex) triskewed 80dis32hexeract. It has 12 dahs, 32 hixes, 32 cabnixes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 7 'odet', which are listed below.

102. Sodet - (SO det) small 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

103. Godet - (GO det) great 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

104. Stoadet - (STO det) small trigonic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

105. Toadet - (TO det) trigonic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

106. Getoadet - (ge TO det) great trigonic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

107. Sheodet - (she YO det) small hexattic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

108. Gheodet - (gee YO det) great hexattic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

109. Kehodet - (kee HO det) skew-hexattic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

110. Sedodet - (se DO det) small disphenic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

111. Gedodet - (ge DO det) great disphenic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

112. Kodet - (KO det) skewed 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

113. Deodet - (de YO det) disphenic 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

114. Tekodet - (te KO det) triskewed 80dis32-peton. It has 32 hixes, 32 firxes, and 80 tratets in orientation type 1.

Above are the verfs of the 13 members with root 8 'texohat', which are listed below.

115. Stexohat - (STEK so hat) small 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 1.

116. Getixohat - (ge TIK so hat) great 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 2.

117. Statexohat - (sta TEK so hat) small trigonic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 3.

118. Tatexohat - (ta TEK so hat) trigonic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 4.

119. Getatexohat - (GET a TEK so hat) great trigonic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 5.

120. Shetexohat - (she TEK so hat) small hexattic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 6.

121. Ghetaxohat - (geh TAK so hat) great hexattic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 7.

122. Khetaxohat - (ke TAK so hat) skew-hexattic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 8.

123. Sedtexohat - (sed TEK so hat) small disphenic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 9.

124. Gedtexohat - (ged TEK so hat) great disphenic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 10.

125. Katexohat - (ka TEK so hat) skewed 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 11.

126. Datexohat - (da TEK so hat) disphenic 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 12.

127. Tektaxohat - (tek TAK so hat) triskewed 32hexeracti80hemi32-peton. It has 12 dahs, 16 dots, 32 firxes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 9 'xato', which are listed below.

128. Sexato - (sek SAY to) small hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 1.

129. Gexato - (gek SAY to) great hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 2.

130. Stexato - (stek SAY to) small trigonic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 3.

131. Texato - (tek SAY to) trigonic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 4.

132. Getaxato - (get AK sa to) great trigonic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 5.

133. Shexto - (SHEX to) small hexattic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 6.

134. Ghexto - (GEX to) great hexattic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 7.

135. Khexto - (KEX to) skew-hexattic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 8.

136. Sedaxto - (se DAX to) small disphenic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 9.

137. Gedaxto - (ge DAX to) great disphenic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 10.

138. Kexato - (kek SAY to) skewed hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 11.

139. Dexato - (dek SAY to) disphenic hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 12.

140. Tekaxto - (te KAX to) triskewed hexeracti32-80-peton. It has 12 radahs, 32 baddixes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root 10 'texo', which are listed below.

141. Stexo - (STEK so) small 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 1.

142. Gatexo - (ga TEK so) great 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 2.

143. Statexo - (sta TEK so) small trigonic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 3.

144. Tatexo - (ta TEK so) trigonic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 4.

145. Getatexo - (GET a TEK so) great trigonic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 5.

146. Shetexo - (she TEK so) small hexattic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 6.

147. Ghetexo - (gee TEK so) great hexattic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 7.

148. Kehtexo - (keh TEK so) skew-hexattic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 8.

149. Sedatexo - (SED a TEK so) small disphenic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 9.

150. Gedatexo - (GED a TEK so) great disphenic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 10.

151. Katexo - (ka TEK so) skewed 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 11.

152. Datexo - (da TEK so) disphenic 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 12.

153. Tektexo - (tek TEK so) triskewed 32hexeracti80-peton. It has 12 hits, 32 nobaxes, and 80 tratets in orientation type 13.

## Hax Regiment - Sub-Symmetric Fissaries

There are 65 subsymmetric fissary hax members. There are 5 possible facet configurations (roots) that need their triddips matched, and with 13 configurations of half-tetdips - that leads to 65 new fissary hax members. The oxhat group may be orientable, but the others are non-orientable.

Above are the verfs of the 13 members with root f1 'oxhat', which are listed below.

F2. Soxhat - (SOX hat) small 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 1.

F3. Goxhat - (GOX hat) great 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 2.

F4. Stoxhat - (STOX hat) small trigonic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 3.

F5. Toxhat - (TOX hat) trigonic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 4.

F6. Getoxhat - (ge TOX hat) great trigonic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 5.

F7. Sheoxhat - (she YOX hat) small hexattic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 6.

F8. Gheoxhat - (gee YOX hat) great hexattic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 7.

F9. Kehoxhat - (ke HOX hat) skew-hexattic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 8.

F10. Sedoxhat - (se DOX hat) small disphenic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 9.

F11. Gedoxhat - (ge DOX hat) great disphenic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 10.

F12. Koxhat - (KOX hat) skewed 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 11.

F13. Deoxhat - (de YOX hat) disphenic 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 12.

F14. Tekoxhat - (te KOX hat) triskewed 80hexeractihemi32-peton. It has 12 rinahs, 16 bads, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root f2 'otaxhit', which are listed below. These are copycats of each other, they only differ internally.

F15. Sotaxhit - (so TAK shit) small 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 1.

F16. Gotaxhit - (go TAK shit) great 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 2.

F17. Stotaxhit - (sto TAK shit) small trigonic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 3.

F18. Totaxhit - (to TAK shit) trigonic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 4.

F19. Getotaxhit - (GET o TAK shit) great trigonic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 5.

F20. Sheotaxhit - (SHE yo TAK shit) small hexattic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 6.

F21. Gheotaxhit - (GEE yo TAK shit) great hexattic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 7.

F22. Kehotaxhit - (KEH ho TAK shit) skew-hexattic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 8.

F23. Sedotaxhit - (SE do TAK shit) small disphenic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 9.

F24. Gedotaxhit - (GE do TAK shit) great disphenic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 10.

F25. Kotaxhit - (ko TAK shit) skewed 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 11.

F26. Dotaxhit - (do TAK shit) disphenic 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 12.

F27. Tekotaxhit - (TE ko TAK shit) triskewed 80-32hexeractihemi32-peton. It has 12 hins, 16 bends, 32 cindaxes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root f3 'xote', which are listed below.

F28. Saxote - (SAK sote) small hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 1.

F29. Gaxote - (GAK sote) great hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 2.

F30. Staxote - (STAK sote) small trigonic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 3.

F31. Taxote - (TAK sote) trigonic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 4.

F32. Getaxote - (ge TAK sote) great trigonic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 5.

F33. Shexote - (SHEK sote) small hexattic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 6.

F34. Ghexote - (GEK sote) great hexattic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 7.

F35. Khexote - (KEK sote) skew-hexattic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 8.

F36. Sedaxote - (se DAK sote) small disphenic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 9.

F37. Gedaxote - (ge DAK sote) great disphenic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 10.

F38. Kaxote - (KAK sote) skewed hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 11.

F39. Daxote - (DAK sote) disphenic hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 12.

F40. Tekaxote - (te KAK sote) triskewed hexeracti80-32-peton. It has 12 hans, 32 cabnixes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root f4 'tox', which are listed below. What, another group of copycats - greeeaaat, they look just like the otaxhit group and they only differ internally.

F41. Satox - (SAY tox) small 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 1.

F42. Gatox - (GAY tox) great 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 2.

F43. Statox - (STAY tox) small trigonic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 3.

F44. Tatox - (TAY tox) trigonic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 4.

F45. Getatox - (ge TAY tox) great trigonic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 5.

F46. Shetox - (SHE tox) small hexattic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 6.

F47. Ghetox - (GEE tox) great hexattic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 7.

F48. Khetox - (KEE tox) skew-hexattic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 8.

F49. Sedatox - (se DAY tox) small disphenic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 9.

F50. Gedatox - (ge DAY tox) great disphenic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 10.

F51. Katox - (KAY tox) skewed 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 11.

F52. Detox - (DEE tox) disphenic 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 12.

F53. Tekatox - (te KAY tox) triskewed 32-80hexeract. It has 12 hins, 32 firxes, and 80 tratets in orientation type 13.

Above are the verfs of the 13 members with root f5 'detoxo', which are listed below.

F54. Sidtoxo - (sid TOK so) small dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 1.

F55. Gidtoxo - (gid TOK so) great dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 2.

F56. Stidtoxo - (stid TOK so) small trigonic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 3.

F57. Tadtoxo - (tad TOK so) trigonic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 4.

F58. Gitdetoxo - (GIT de TOK so) great trigonic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 5.

F59. Shedtoxo - (shed TOK so) small hexattic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 6.

F60. Ghedtoxo - (ged TOK so) great hexattic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 7.

F61. Khedtoxo - (ked TOK so) skew-hexattic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 8.

F62. Sedadetoxo - (SE da de TOK so) small disphenic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 9.

F63. Gedadetoxo - (GE da de TOK so) great disphenic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 10.

F64. Kidtoxo - (kid TOK so) skewed dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 11.

F65. Dadetoxo - (DA de TOK so) disphenic dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 12.

F66. Tekdetoxo - (TEK de TOK so) triskewed dis32hexeracti80-peton. It has 12 rinahs, 32 hixes, 32 baddixes, and 80 tratets in orientation type 13.

## Jak Regiment

The jak regiment has nine members, five fissaries, and a compound. I refer to this symmetry as jakic. Jak's verf is a hin. It has 27 vertices. It has three nobles in the regiment - jay, saje, and gaje. Above are the vertex figures of the jak regiment rendered in poke sections. Jak is best known as the E6 polytope. Regiments hidden in jak as the facet regiments are tac, hix, hin, penp, and the never used rix which would have went through the center if activated. All members are orientable.

154. Jak - (JAK) 27-72-peton. The symbol is oo8ox. This polypeton is semiregular. It has 27 tacs and 72 hixs, the tacs are on the opposite locations as the vertices. Hixes opposite other hixes.

155. Kaje - (KAJE) 72-27-peton. It has 27 hins and 72 hixes. Its verf is a dah.

156. Daj - (DAJ (sounds like dodge)) dis27-peton. It has 27 tacs and 27 hins. Its verf is a han.

157. Rijik - (RIJ jik) retro27-72. It has 27 dahs and 72 hixes. Its verf is a radah.

158. Ridje - (RIDJ) retrodis27. It has 27 tacs and 27 dahs. Its verf is a rinah and is therefore a copycat of daj.

159. Jay - (JAY) 27-peton. It has 27 hans. Its verf is a hit, a really big hit that is complete with Broadway musical starring 'Hans' Solo :P.

160. Idje - (IDJ) invertidis27. It has 27 tacs and 27 radahs. It is a copycat of daj.

161. Saje - (SAJE) small 27-peton. It has 27 rinahs. It is a copycat of jay.

162. Gaje - (GAJE) great 27-peton. It has 27 hits. It's verf is a very spiky faceting of hin.

F67. Dupjak - (DOOP jak) dipesic 27-72. It has 27 radahs and 72 hixes.

F68. Ippij - (IP pij) invertiprismato27. It has 27 tacs and 216 penps (pen prism).

F69. Poj - (POJ) prismato27. It has 27 dahs and 216 penps.

F70. Ripaj - (rih POJ) retroprismato27. It has 27 radahs and 216 penps.

F71. Jep - (JEP) 27prismato. It has 27 hins and 216 penps. Found in Oct. 2019, simply an overlooked one.

C19. Pok - (POK) prismato72. It has 72 hixes and 216 penps. It is a compound of 36 hixips.

## Mo Regiment

The mo regiment has 84 members, several fissaries, and two compounds, ye and ket. I refer to this symmetry as moic. Mo's verf is a dot. It has 72 vertices. Mo itself is noble as well as the compound ye. Above are the vertex figures of the mo regiment rendered in poke sections. Mo is best known 122 which I guess is pronounced 'wuntootoo' or 'wunsubtootoo' - short names are so much nicer. The facet regiments are hin 1, hin 2, scad (never used, would go through center), rat (goes through center), dot, rappip 1, rappip 2, and tratrip. Abbreviation letters are J=27, K=72, M=54, Z=216, T=432, and Y=720, so the short names wind up more colorful. Those from 163-181 have mo symmetry, while those below #181 have jak symmetry.

163. Mo - (MO) 54-peton. The symbol is oo6oo. This polypeton is semiregular and noble. It has 54 hins. Its verf is a dot.

164. Mak - (MAK) 54-72-peton. It has 54 dahs and 72 dots. Its verf is a bad.

165. Quamhim - (KWAM him) quasi54hemi54. It has 54 dahs and 27 thits.

166. Kim - (KIM) 72-54-peton. It has 54 hans and 72 dots. Its verf is a bend.

167. Moham - (MO hahm) 54hemi54. It has 54 hans and 27 thits.

168. Retom - (RE tom) retro-432-54. It has 54 radahs and 432 firpips.

169. Mahrm - (MARM) 54hemiretro54. It has 54 radahs and 27 rithits.

170. Remote - (re MOTE) retro54-432. It has 54 rinahs and 432 firpips. It's quite remote, I wonder if you can change the channel with it.

171. Rekam - (RE kahm) retro-72-54. It has 54 rinahs and 72 bads.

172. Ramhim - (RAM him) retro54hemi54. It has 54 rinahs and 27 rithits.

173. Notom - (NO tom) spino432-54. It has 54 hits and 432 pinpips (pinnip prism).

174. Nemak - (NE mak) spino54-72. It has 54 hits and 72 bends.

175. Nomhim - (NOM him) spino54hemi54. It has 54 hits and 27 ithits.

176. Tok - (TOK) 432-72-peton. It has 72 bads and 432 firpips.

177. Kahm - (KAHM) 72hemi54. It has 27 thits and 72 dots.

178. Them - (THEM) 432hemi54. It has 27 rithits and 432 firpips. Creepy name for a singular object or worse a single person - 'who is that?' - 'that is THEM'.

179. Rokham - (ROK ham) retro72hemi54. It has 27 rithits and 72 bads.

180. Hammit - (HAM mit) hemi54-432. It has 27 ithits and 432 pinpips.

181. Homek - (HO mek) hemi54-72. It has 27 ithits and 72 bends.

182. Zok - (ZOK) 216-72-peton. It has 72a cabbixes and 216a rappips.

183. Dezak - (DE zak) dis216-72. It has 72a caddixes, 216 pinpips, and 216 firpips.

184. Jaz - (JAZ) 27-216-peton. It has 27a badohs and 216b firpips.

185. Jezik - (JE zik) 27-216-72. It has 27a badohs, 72 bads, and 216a firpips.

186. Jakij - (JAK ij) 27-72-27. It has 27b hins, 27 rats, and 72 dots. Verf is a cabbix.

187. Dijit - (DIJ jit) dis27-432. It has 27b hins, 27 onthets, and 432 firpips.

188. Dojek - (DO jek) dis27-72. It has 27b hins, 27 onthets, and 72 bads.

189. Jetaj - (JE taj) 27-432-27. It has 27b hins, 27 otnahits, and 432 pinpips.

190. Kedje - (KEDJ) 72dis27. It has 27b hins, 27 otnahits, and 72 bends.

191. Joj - (JOJ) 27-27-peton. It has 27b hins and 27 rinhits.

192. Zodje - (ZODJ) 216dis27. It has 27b hins, 27a bandohs, and 216b firpips.

193. Dojez - (DO jez) dis27-216. It has 27b hins, 27b bandohs, and 216a firpips.

194. Jiquajaz - (JIK qua jaz) 27quasi27-216. It has 27b dahs, 27 cathits, and 216a rappips.

195. Jequajak - (JE qua jak) 27quasi27-72. It has 27b dahs, 27 cathits, and 72a cabbixes.

196. Quidjez - (QUID jez) quasidis27-72. It has 27b dahs, 27 chets, and 216b rappips.

197. Dajekiz - (DA je kiz) dis27-72-216. It has 27b dahs, 27 chets, 72 dots, and 216a rappips.

198. Quadjek - (QUAD jek) quasidis27-72. It has 27b dahs, 27 chets, and 72b cabbixes.

199. Jajez - (JAY jez) 27-27-216. It has 27b hans, 27 conhits, and 216b rappips.

200. Jejek - (JEE jek) 27-27-72. It has 27b hans, 27 conhits, and 72b cabbixes.

201. Rodjez - (ROD jez) retrodis27-216. It has 27b radahs, 27 ratobahts, and 216a firpips.

202. Jarjaz - (JAR jaz) 27retro27-216. It has 27b radahs, 27 bohts, and 216b firpips.

203. Zardojek - (ZAR do jek) 216retrodis27-72. It has 27b radahs, 27 bohts, 72a caddixes, and 216a pinpips.

204. Jarj - (JARJ) 27retro27. It has 27b radahs and 27a hahs.

205. Tardej - (TAR dej) 432retrodis72. It has 27b radahs, 27b hahs, and 432 firpips.

206. Jazaj - (ja ZAJ) 27-216-27. It has 27b rinahs, 27 bants, and 216a firpips.

207. Jezarj - (je ZARJ) 27-216retro27. It has 27b rinahs, 27 bonhits, and 216b firpips.

208. Karjezoj - (KAR jeh zoj) 216retro27-216-27. It has 27b rinahs, 27 bonhits, 72a caddixes, and 216a pinpips.

209. Ridej - (RI dej) retroinverted dis27. It has 27b rinahs and 27a hanohs.

210. Ridjet - (RID jet) retrodis27-432. It has 27b rinahs, 27b hanohs, and 432 firpips.

212. Zoje - (ZOJE) 216octic 27. It has 27b hits, 27 bics, and 216b pinpips.

213. Jenjez - (JEN jez) 27spino27-216. It has 27b hits, 27a caths, and 216a rappips.

214. Jonjek - (JON jek) 27spino27-72. It has 27b hits, 27a caths, and 72a cabbixes.

215. Kandij - (KAN dij) 72spinodis27. It has 27b hits, 27b cadohs, and 72b caddixes.

216. Zetaj - (ZE taj) 216tris27. It has 27 hins, 27 hans, 27 chets, and 216b rappips.

217. Kotaj - (KO taj) 72tris27. It has 27 hins, 27 hans, 27 chets, and 72b cabbixes.

218. Tojaz - (TO jaz) tris27-216. It has 27 hins, 27 radahs, 27 bants, and 216a firpips.

219. Jerdej - (JER dej) 27retrodis27. It has 27 hins, 27 radahs, and 27a hanohs.

220. Jazidoj - (JAZ e doj) 27-216dis27. It has 27 hins, 27 rinahs, 27 bohts, and 216b firpips.

221. Zitojek - (ZI to jek) 216tris27-72. It has 27 hins, 27 rinahs, 27 bohts, 72a caddixes, and 216a pinpips.

222. Ratoj - (ra TOJ) retrotris27. It has 27 hins, 27 rinahs, and 27a hahs.

223. Dajeznoj - (da JEZ noj) dis27-216spino27. It has 27 hins, 27 hits, 27a canths, and 216a rappips.

224. Zedjonj - (zed JONJ) 216dis27spino27. It has 27 hins, 27 hits, 27a canths, and 72a cabbixes.

225. Nojazdoj - (no JAZ doj) spino27-216dis27. It has 27 hins, 27 hits, 27b candohs, and 72b caddixes.

226. Kazam - (ka ZAM) 72-216-54. It has 54 dahs, 72a cabbixes, and 216b rappips. I wonder if I can make one of these appear in front of me - "KAZAM!!" - didn't work, better luck next time.

227. Teje - (TEJE) tris27-peton. It has 27 dahs, 27 hans, and 27 rats. Its verf is a caddix.

228. Dajodez - (DAJ o dez) dis27octic dis216. It has 27 dahs, 27 radahs, 27 bics, 216 rappips, and 216 firpips.

229. Dejozak - (DEJ o zak) dis27octic 216-72. It has 27 dahs, 27 radahs, 27 bics, 72a cabbixes, and 216b firpips.

230. Zaquertej - (za QUAR tej) 216quasiretrotris27. It has 27 dahs, 27 radahs, 27a cadohs, and 216a rappips.

231. Quartjek - (QUART jek) quasiretrotris27-72. It has 27 dahs, 27 radahs, 27a cadohs, and 72a cabbixes.

232. Dejnaj - (DEJ naj) dis27spino27. It has 27 dahs, 27 hits, and 27a tuhs.

233. Mozak - (MO zak) 54-216-72. It has 54 hans, 72a cabbixes, and 216b rappips.

234. Rajezdoj - (ra JEZ doj) retro27-216dis27. It has 27 hans, 27 radahs, 27a candohs, and 216a rappips.

235. Rejakdej - (re JAK dej) retro27-72dis27. It has 27 hans, 27 radahs, 27a candohs, and 72a cabbixes.

236. Odjedoz - (OD jee doz) octic dis27dis216. It has 27 hans, 27 rinahs, 27 bics, 216 rappips, 216 firpips.

237. Odjazek - (OD ja zek) octic dis27-216-72. It has 27 hans, 27 rinahs, 27 bics, 72a cabbixes, and 216b firpips.

238. Irtejaz - (IR te jaz) invertiretrotris27-216. It has 27 hans, 27 rinahs, 27a cadohs, and 216a rappips.

239. Irtjek - (IRT jek) invertiretrotris27-72. It has 27 hans, 27 rinahs, 27a cadohs, and 72a cabbixes.

240. Natej - (NA tej) spinotris27. It has 27 hans, 27 hits, and 27a noths.

241. Zejrom - (ZEJ rom) 216-27retro54. It has 54 radahs, 27a badohs, and 216a firpips.

243. Jezardej - (je ZAR dej) 27-216retrodis27. It has 27 radahs, 27 rinahs, 27b bandohs, and 216b firpips.

244. Karntej - (KARN tej) 72retrospinotris27. It has 27 radahs, 27 hits, 27 chets, and 72b caddixes.

245. Jarmz - (JARMZ) 27retro54-216. It has 54 rinahs, 27a badohs, and 216a firpips. Might need to spray this with something, with all those 'badoh' 'jarmz' on it.

246. Rintjek - (RINT jek) retrospinotris27-72. It has 27 rinahs, 27 hits, 27 conhits, and 72b caddixes.

C20. Ye - (YE) 720-peton. It has 720 tratrips and is a compound of 90 trittips (triangle triprism).

C21. Ket - (KET) 72-432. It has 72 dots and 432 rappips and is a compound of 36 dottips.

## Mo Fissaries

The mo regiment has 58 fissaries, the first five have mo symmetry, while the others have jak symmetry. Which one do you think has the silliest name?

F73. Notek - (NO tek) spino-432-72. It has 72 bends and 432 pinpips.

F74. Fathom - (FA thum) fissary 432hemi54. It has 27 thits and 432 rappips.

F75. Tom - (TOM) 432-54. It has 54 dahs and 432 rappips. It doesn't have any jerries though.

F76. Mot - (MOT) 54-432. It has 54 hans and 432 rappips.

F77. Ramak - (RAM ak) retro-54-72. It has 54 radahs and 72 bads.

F78. Zokham - (ZOK ahm) 216-72hemi54. It has 27 thits, 27a cabbixes, and 216b rappips.

F79. Dazham - (DA zham) dis216hemi54. It has 27a baths, 216a rappips, and 216b pinpips.

F80. Kazham - (KA zham) 72-216hemi54. It has 27a baths, 72a cabbixes, and 216b pinpips.

F81. Jokaz - (JO kaz) 27-72-216. It has 27a badohs, 72a caddixes, and 216a pinpips.

F82. Todij - (TO dij) 432dis27. It has 27b hins, 27 rats, and 432 rappips.

F83. Zakedaj - (ZAK e daj) 216-72dis27. It has 27b hins, 27 rats, 72a cabbixes, and 216b rappips.

F84. Dajizok - (DA jee zok) dis27-216-72. It has 27b hins, 27 rats, 72b cabbixes, and 216a rappips.

F85. Zedjek - (ZED jek) 216dis27-72. It has 27b hins, 27a bandohs, 72 bads, and 216a firpips.

F86. Kodjez - (KOD jez) 72dis27-216. It has 27b hins, 27a bandohs, 72a caddixes, and 216a pinpips.

F87. Dizidaj - (DIZ zee daj) dis216dis27. It has 27b hins, 27a banths, 216 rappips, and 216 pinpips.

F88. Jozjek - (JOZ jek) 27-216-27-72. It has 27b hins, 27a banths, 72a cabbixes, and 216b pinpips.

F89. Jekjaz - (JEK jaz) 27-72-27-216. It has 27b hins, 27b bandohs, 72 bads, and 216b firpips.

F90. Zejkoj - (ZEJ koj) 216-27-72-27. It has 27b hins, 27b bandohs, 72b caddixes, and 216b pinpips.

F91. Dejdaz - (DEJ daz) dis27dis216. It has 27b hins, 27b banths, 216a pinpips, and 216b rappips.

F92. Kajzaj - (KAJ zaj) 72-27-216-27. It has 27b hins, 27b banths, 72b cabbixes, and 216a pinpips.

F93. Zajjek - (ZAJ jek) 216-27-27-72. It has 27b hans, 27 conhits, 72 dots, and 216a rappips.

F94. Kajjez - (KAJ jez) 72-27-27-216. It has 27b radahs, 27 bohts, 72 bads, and 216a firpips.

F95. Kejaj - (ke JAJ) 216-27-27. It has 27b radahs, 27b hahs, and 72 bads.

F96. Jajzek - (JAJ zek) 27-27-72-216. It has 27b rinahs, 27 bonhits, 72 bads, and 216a firpips.

F97. Ojzek - (OJ zek) octic 27-216-72. It has 27b hits, 27 bics, 72 bends, and 216a pinpips.

F98. Zojek - (ZO jek) 216octic 27-72. It has 27b hits, 27 bics, 72b caddixes, and 216a firpips.

F99. Jedzaj - (JED zaj) 27dis216-27. It has 27b hits, 27b cadohs, 216a firpips, and 216b pinpips.

F100. Jidjaz - (JID jaz) 27dis27-216. It has 27a hins, 27b dahs, 27 conhits, and 216b rappips.

F101. Katjaz - (KAT jaz) 72tris27-216. It has 27a hins, 27b dahs, 27 conhits, 72 dots, and 216a rappips.

F102. Dajkej - (DAJ kej) dis27-72-27. It has 27a hins, 27b dahs, 27 conhits, and 72b cabbixes.

F103. Dajzej - (DAJ zej) dis27-216-27. It has 27a hins, 27b hans, 27 cathits, and 216a rappips.

F104. Jekdaj - (JEK daj) 27-72dis27. It has 27a hins, 27b hans, 27 cathits, and 72a cabbixes.

F105. Tejzek - (TEJ zek) tris27-216-72. It has 27a hins, 27b hans, 27 chets, 72 dots, and 216a rappips.

F106. Zedjaj - (ZED jaj) 216dis27-27. It has 27a hins, 27b radahs, 27 bonhits, and 216b firpips.

F107. Zaktej - (ZAK tej) 216-72tris27. It has 27a hins, 27b radahs, 27 bonhits, 72 bads, and 216a firpips.

F108. Kaztej - (KAZ tej) 72-216tris27. It has 27a hins, 27b radahs, 27 bonhits, 72a caddixes, and 216a pinpips.

F109. Dajejit - (da JEJ it) dis27-27-432. It has 27a hins, 27b radahs, 27b hanohs, and 432 firpips.

F110. Dijjez - (DIJ jez) dis27-27-216. It has 27a hins, 27b radahs, 27b hanohs, and 72 bads.

F111. Zejdij - (ZEJ dij) 216-27dis27. It has 27a hins, 27b rinahs, 27 ratobahts, and 216a firpips.

F112. Tejkaz - (TEJ kaz) tris27-72-216. It has 27a hins, 27b rinahs, 27 bohts, 72 bads, and 216a firpips.

F113. Tejdiz - (TEJ diz) tris27dis216. It has 27a hins, 27b rinahs, 27b hahs, and 432 firpips.

F114. Fiztij - (FIZ tij) fissary 216tris27. It has 27a hins, 27b rinahs, 27b hahs, and 72 bads.

F115. Dizdejik - (diz DE jik) dis216dis27-72. It has 27a hins, 27b hits, 27b candohs, 216a firpips, and 216b pinpips.

F116. Tijet - (TI jet) tris27-432. It has 27a dahs, 27b hans, 27 rinhits, and 432 rappips.

F117. Fatjak - (FAT jak) fissary tris27-72. It has 27a dahs, 27b hans, 27 rinhits, and 72 dots.

F118. Fatjezik - (fat JE zik) fissary tris27-216-72. It has 27a dahs, 27b hans, 27 rinhits, 72a cabbixes, and 216b rappips.

F119. Fatjakez - (fat JAY kez) fissary tris27-72-216. It has 27a dahs, 27b hans, 27 rinhits, 72b cabbixes, and 216a rappips.

F120. Fatjaz - (FAT jaz) fissary tris27-216. It has 27a dahs, 27b rinahs, 27a candohs, and 216a rappips.

F121. Faktaj - (FAK taj) fissary 72tris27. It has 27a dahs, 27b rinahs, 27a candohs, and 72a cabbixes.

F122. Diztoj - (DIZ toj) dis216tris27. It has 27a dahs, 27b hits, 27 bohts, 216a rappips, and 216b pinpips.

F123. Fizzitjek - (FIZ zit jek) fissary 216tris27-72. It has 27a dahs, 27b hits, 27 bohts, 72a cabbixes, and 216b pinpips.

F124. Fatjedaz - (fat JED az) fissary tris27dis216. It has 27a hans, 27b hits, 27 bonhits, 216a rappips, and 216b pinpips.

F125. Fekitjaz - (FEH kit jaz) fissary 72tris27-216. It has 27a hans, 27b hits, 27 bonhits, 72a cabbixes, and 216b pinpips.

F126. Fatjet - (FAT jet) fissary tris27-432. It has 27a radahs, 27b rinahs, 27 rinhits, and 432 firpips.

F127. Fartjoke - (FART joke) fissary retrotris27-72. It has 27a radahs, 27b rinahs, 27 rinhits, and 72 bads.

F128. Fartjaz - (FART jaz) fissary retrotris27-216. It has 27a radahs, 27b rinahs, 27a bandohs, and 216a firpips.

F129. Fizzitjaz - (FIZ zit jaz) fissary 216tris27-216. It has 27a radahs, 27b hits, 27 chets, 216a firpips, and 216b pinpips.

F130. Zitjaz - (ZIT jaz) 216tris27-216. It has 27a rinahs, 27b hits, 27 conhits, 216a firpips, and 216b pinpips.

## Duals and Conjugates

Below shows how the primaries pair up as duals and as conjugates.

Duals

The following are self duals: hop.

The following are dual pairs: ax-gee.

Conjugates

The following are self conjugates: all.

The following are conjugate pairs: none.

Category H --- back to Polypeton Page --- Category 2