Category 18: Ditetrahedrals


The ditetrahedrals consists of three regiments - sidtaxhi, dattady, and gadtaxady. These regiments have 37 polychora each as well as four fissaries (excluding sitphi and gitphi which were mentioned in category 7). These polychora have hyic symmetry with 600 vertices. Their verfs all have tetrahedral symmetry. Sidtaxhi and gadtaxady regiments are conjugates, while the dattady regiment is self conjugate. These polychora are the 4-D analougues of the ditrigonaries in 3-D (sidtid, ditdid, and gidtid)

Sidtaxhi Regiment

Sidtaxhi's verf looks like a tut so the regiment members have tut facetings for verfs. Sidtaxhi is a 4-D sidtid analogue. Potential cells in this regiment are: 120 sidtids, 120 ditdids, 120 gidtids, 120 rhoms (rhom is the 5 cube compound, so this is actually 600 cubes in the form of 120 rhoms), 600 tets, 120 does, 120 ids, 120 srids, 120 saddids, 120 sirds, 720 pips, and 120 trips - 120 tigids and 720 dips can also be found here, but only sitphi contains tigids and the compound sadtap contains dips.

Slices of Sidtaxhi Troops


Verf of the Primary Sidtaxhis

Primary - first five are tame, last two are wild. All are orientable except for sirdatady.

778. Sidtaxhi - (sid TAK she) small ditetrahedronary 600-120. Its cells are sidtids and tets. It is the colonel of the regiment and its symbol is o(oo*x). It has 2520 pieces in 2 types, LOC = 9. Sidtaxhi forms a uniform antiprism in 5D which was discovered by Norman Johnson.

779. Sidtaxady - (sid TAK sa dee) small ditetrahedronary 600dis120. Its cells are gidtids, tets, and does. It is one of the sergeants of the regiment and its symbol is (o(o,o)^x). It has 16920 pieces in 5 types, LOC = 43.

780. Siddatady - (sid DAT a dee) small ditetrahedronary dis120. Its cells are ditdids and does. It is one of the sergeants of the regiment and has the symbol o(oo*'x^). It has 11160 pieces with 4 types, LOC = 31.

781. Sirdatady - (sir DAT a dee) small retroditetrahedronary dis120. Its cells are gidtids and ids. It is an agent of the regiment. It had 43320 pieces with 7 types, LOC = 110 with the old "core and wedges" filling, but the new counts will be higher.

782. Sirdtaxady - (sird TAK sa dee) small retroditetrahedronary 600dis120. Its cells are tets, does, and ids. It is the lieutenant of the regiment and has the symbol (oo,x^o). It has 161,280 pieces in 24 types, LOC = 316.

783. Siddatdahix - (sid DAT da hix) small ditetrahedronary dis120-600. Its cells ditdids, tets, and ids. It has 68760 pieces in 10 types, LOC = 171.

784. Sridtathi - (srid TATH thee) small retroinverted ditetrahedronary tris120. Its cells are sidtids, does, and ids. It has 7320 pieces with two types, LOC = 17.


Verf of the Secondary Sidtaxhis

Secondary - first one is feral, others are wild. All are orientable except for sandit diphi.

785. Sidtadphi - (sid TAD fee) small ditetrahedronary disprismato120. Its cells are ids, pips, and trips. It has 1,357,680 pieces with 122 types, LOC = 2836.

786. Sandit Diphi - (SAN dit DIF fee) small spinoditetrahedronary disprismato120. Its cells are gidtids, pips, and trips. It had 277,320 pieces in 26 types, LOC = 537 with the old filling, but should be higher now.

787. Sidtapicax - (sid TAP e cax) small ditetrahedronary prismatocubi600. Its cells are rhoms, tets, and trips. It has 96120 pieces in 13 types, LOC = 190.

788. Sidtacphi - (sid TAC fee) small ditetrahedronary cubiprismato120. Its cells are rhoms, does, and pips. It has 32520 pieces in 5 types, LOC = 79.

789. Sadtip Caxhi - (SAD tip CAK she) small ditetrahedronary prismatocubi600-120. Its cells are rhoms, tets, ids, and pips. It has 106,920 pieces in 13 types, LOC = 211.

790. Sadtipacady - (SAD tip PAC a dee) small ditetrahedronary prismatocubidis120. Its cells are rhoms, does, ids, and trips. It has 104,520 pieces in 13 types, LOC = 208.


Verf of the Sriddic Sidtaxhis

Sriddic - siddit paxhi and sirdtapady are feral, others are wild. All are non-orientable except for sadticaxady.

791. Sand Tapady - (SAND TAP a dee) small intercepted ditetrahedronary prismatodis120. Its cells are sidtids, pips, and srids. It had 14520 pieces in 3 types, LOC = 33 with the old filling, but now has a much higher count and a more interesting look.

792. Sarned Thiphi - (sarnd THIF fee) small retrointercepted ditetrahedronary 120prismato120. Its cells are ditdids, trips, and srids. It had 512,760 pieces in 45 types, LOC = 1234 with the old filling, but likely has a higher count now. This one is quite interesting.

793. Siddit Paxhi - (SID it PAK she) small ditetrahedronary prismato600-120. Its cells are tets, pips, and srids. It has 1,309,680 pieces in 117 types, LOC = 2717.

794. Sirdtapady - (sird TAP a dee) small retroditetrahedronary prismatodis120. Its cells are does, trips, and srids. It has 1,307,400 pieces in 118 types, LOC = 2668.

795. Sidtacady - (sid TAK a dee) small ditetrahedronary cubidis120. Its cells are rhoms, ids, and srids. It had 115,320 pieces in 13 types, LOC = 222 with the old filling.

796. Sadticaxady - (SAD tic CAK sa dee) small ditetrahedronary cubi600dis120. Its cells are rhoms, tets, does, and srids. It has 117,720 pieces in 15 types, LOC = 232.


Verf of the Saddiddic Sidtaxhis

Saddiddic - sridatady and sadthixhi are feral, others are wild. All are orientable except for sridatady.

797. Sridatady - (srid DAT a dee) small retroinverted ditetrahedronary dis120. Its cells are gidtids and saddids. It had 151,320 pieces in 15 types, LOC = 375, but likely has higher counts now.

798. Sand Tathi - (sand TATH e) small intercepted ditetrahedronary tris120. Its cells are sidtids, does, and saddids. It has 24120 pieces in 4 types, LOC = 49.

799. Sradditdahix - (SRAD it DAY hix) small retroditetrahedronary dis120-600. Its cells are ditdids, tets, and saddids. It has 169,560 pieces in 18 types, LOC = 439.

800. Sadthixhi - (sad THIK she) small ditetrahedronary 120-600-120. Its cells are tets, does, and saddids. It has 197,400 pieces in 28 types, LOC = 403.

801. Sapditphi - (sap DIT fee) small prismatoditetrahedronary prismato120. Its cells are pips, trips, and saddids. It has 1,446,480 pieces in 130 types, LOC = 3260. This is the most complex of the ditets.

802. Sadtip Xachi - (SAD tip ZA chee) small ditetrahedronary prismato600cubi120. Its cells are rhoms, tets, pips, and saddids. It has 106,920 pieces in 13 types, LOC = 211.

803. Sidtacpady - (sid TAC pa dee) small ditetrahedronary cubiprismatodis120. Its cells are rhoms, does, trips, and saddids. It has 104,520 pieces in 13 types, LOC = 208.


Verf of the Sirdic Sidtaxhis

Sirdic - first one is tame, others are wild. All are non-orientable.

804. Siddatchi - (sid DAT chee) small ditetrahedronary cubi120. Its cells are rhoms and sirds. It had 231,720 pieces in 27 types, LOC = 592, but would likely have a different count now. This one has holes everywhere.

805. Sadtaphix - (SAD ta fix) small ditetrahedronary prismato120-600. Its cells are tets, trips, and sirds. It has 540,600 pieces in 51 types, LOC = 1207. This one looks cool.

806. Sidtapady - (sid TAP a dee) small ditetrahedronary prismatodis120. Its cells are does, pips, and sirds. It has 1,087,800 pieces in 100 types, LOC = 2278.

807. Sand Thiphi - (sand THIF fee) small intercepted ditetrahedronary 120prismato120. Its cells are sidtids, trips, and sirds. It had 7320 pieces in 2 types, LOC = 17 with the old filling, but now has a much higher count.

808. Sarned Tippady - (sarnd TIP a dee) small retrointercepted ditetrahedronary prismatodis120. Its cells are ditdids, pips, and sirds. It had 354,360 pieces in 30 types, LOC = 881 with the old filling, but now has a higher count.


Verf of the Tetracelli-Sirdic Sidtaxhis

Tetracelli-sirdic - all are wild and non-orientable.

809. Sadthipady - (sad THIP a dee) small ditetrahedronary 120prismatodis120. Its cells are sidtids, ids, pips, and sirds. It had 14520 pieces in 3 types, LOC = 33 with the old filling.

810. Sard Thipady - (sard THIP a dee) small retroditetrahedronary 120prismatodis120. Its cells are ditdids, ids, trips, and sirds. It had 469,560 pieces in 41 types, LOC = 1087 with the old filling.

811. Sadtapaxady - (SAD ta PAC sa dee) small ditetrahedronary prismato600dis120. Its cells are gidtids, tets, pips, and sirds. It had 279,720 pieces in 26 types, LOC = 540 with the old filling.

812. Sadtapthi - (sad TAP thee) small ditetrahedronary prismatotris120. Its cells are gidtids, does, trips, and sirds. It had 277,320 pieces in 26 types, LOC = 537 with the old filling, but likely has higher counts.

813. Sadtipdohix - (SAD tip DOE hix) small ditetrahedronary prismatodis120-600. Its cells are tets, ids, pips, and sirds. It has 1,273,680 pieces in 114 types, LOC = 2491.

814. Sard Tipthi - (sard TIP thee) small retroditetrahedronary prismatotris120. Its cells are does, ids, trips, and sirds. It has 1,271,280 pieces in 114 types, LOC = 2483.


Verf of the Fissary Sidtaxhis

Compound and Fissary - first one is a tame compound, the second one is a tame fissary and already counted. Saquid paxhi is feral, the others are wild. All are orientable.

C. Sadtap - (SAD tap) small ditetrahedral prismatochoron. It has 3600 vertices fusing into 600. Its cells are 720 dips. It is a compound of 36 dedips (decagon duoprisms).

F1. Sitphi - (SIT fee) small tripesic 120. Its cells are 120 tigids. It has been counted in category 7 amongst the fissaries. It has 1800 vertices fusing into 600. It is vertex fissary, but not edge fissary. Its symbol is o*x^x*o/2.

F11. Saquid Paxhi - (SAY quid PAK she) small quasidisprismato600-120. Its cells are tets, does, pips, and trips. George Olshevsky nick-named this one "the Holey Terror" since its verf is full of holes. It has 2400 vertices fusing into 600. Its symbol is x,oo^x. It is vertex and edge fissary.

F12. Sadtaf Dapixhi - (SAD taf da PIK she) small ditetrahedrofissary disprismato600-120. Its cells are ditdids, tets, pips, and trips. It is only edge fissary and not vertex fissary like the previous two.

F13. Sadtaf Dipdy - (SAD taf DIP dee) small ditetrahedrofissary disprismatodis120. Its cells are sidtids, does, pips, and trips. It has 7320 pieces in 2 types, LOC = 17. It is edge fissary.

F14. Sadtifady - (sad TIF a dee) small ditetrahedrofissary dis120. Its cells are ids and saddids. It has 1800 vertices fusing into 600. Its symbol is (o^'(x^x)^o,)/2. It is vertex and edge fissary.


Below is a slice of each of the sidtaxhis including the compounds and fissaries. They are in the same order as listed above. Sections of the Sidtaxhis


Dattady Regiment

Dattady's verf also looks like a tut, but with smaller triangles than sidtaxhi's. Dattady can also be considered as a sidtid analogue. Potential cells are: 120 sidtids, 120 ditdids, 120 gidtids, 120 rhoms (600 cubes), 120 gissids, 120 does, 120 dids, 120 radeds, 120 ideds, 120 ris, 720 stips, and 720 pips - 600 tuts and 1200 hips can also be found, but each only appear in the compounds teppix and datap respectively.

Slices of Dattady Troops


Verf of the Primary Dattadies

Primary - first five are tame, last two are wild. All are orientable except for radatady.

815. Dattady - (DAT a dee) ditetrahedronary dis120. Its cells are sidtids and gissids. Its symbol is o(oox*). It is the colonel of the regiment. It has 2520 pieces in 2 types, LOC = 11.

816. Dattathi - (DAT a thee) ditetrahedronary tris120. Its cells are ditdids, gissids, and does. It has the symbol (o(o,o)*x^) and is a sergeant of this regiment. It has 111,960 pieces in 14 types, LOC = 427.

817. Giddatady - (gid DAT a dee) great ditetrahedronary dis120. Its cells are gidtids and does. It is the lieutenant of the regiment and its symbol is o(o,ox^). It has 22920 pieces in 6 types, LOC = 85.

818. Radatady - (RAD a tad ee) retroditetrahedronary dis120. Its cells are ditdids and dids. It had 89520 pieces in 14 types, LOC = 188 with the old filling. It is an agent of the regiment.

819. Radatathi - (RAD a TATH ee) retroditetrahedronary tris120. Its cells are gissids, does, and dids. Its symbol is (oo*'x^o) and it is a sergeant of the regiment. It has 45720 pieces in 8 types, LOC = 105.

820. Mardatathi - (MARD a TATH ee) medial retroditetrahedronary tris120. Its cells are gidtids, gissids, and dids. It has 31320 pieces in 5 types, LOC = 63.

821. Ridatathi - (RIDE a tath ee) retroinverted ditetrahedronary tris120. Its cells are sidtids, does, and dids. It has 41280 pieces in 8 types, LOC = 76.


Verf of the Secondary Dattadies

Secondary - first one feral, others wild. all are orientable except for dittadphi.

822. Raddit Diphi - (RAD it DIF fee) retroditetrahedronary disprismato120. Its cells are dids, stips, and pips. It has 564,480 pieces in 51 types, LOC = 1531.

823. Dittadphi - (dit TAD fee) ditetrahedronary disprismato120. Its cells are ditdids, stips, and pips. It had 415,680 pieces in 38 types, LOC = 1072 with the old filling.

824. Datcaphi - (DAT CAF fee) ditetrahedronary cubiprismato120. Its cells are rhoms, gissids, and stips. It has 42120 pieces in 7 types, LOC = 108.

825. Gidtacphi - (gid TAC fee) great ditetrahedronary cubiprismato120. Its cells are rhoms, does, and pips. It has 78000 pieces in 9 types, LOC = 167.

826. Datcapady - (dat CAP a dee) ditetrahedronary cubiprismatodis120. Its cells are rhoms, gissids, dids, and pips. It has 103,320 pieces in 11 types, LOC = 203.

827. Gidtacpady - (gid TAC pa dee) great ditetrahedronary cubiprismatodis120. Its cells are rhoms, does, dids, and stips. It has 80880 pieces in 13 types, LOC = 173.


Verf of the Radedic Dattadies

Radedic - middle two are feral, others are wild. All are non-orientable except for dittacthi.

828. Ridatippady - (RIDE a TIP a dee) retroinverted ditetrahedronary prismatodis120. Its cells are sidtids, pips, and radeds. It had 62880 pieces in 12 types, LOC = 143 with the old filling and likely has higher counts now.

829. Gird Tappady - (gird TAP a dee) great retroditetrahedronary prismatodis120. Its cells are gidtids, stips, and radeds. It had 185,280 pieces in 20 types, LOC = 376 with the old filling and should have higher counts now.

830. Dard Tipady - (dard TIP a dee) diretroditetrahedronary prismatodis120. Its cells are gissids, pips, and radeds. It had 428,520 pieces in 37 types, LOC = 1044 with the old filling.

831. Gidard Tipady - (g'dard TIP a dee) great diretroditetrahedronary prismatodis120. Its cells are does, stips, and radeds. It had 290,880 pieces in 32 types, LOC = 757 with the old filling.

832. Dittacady - (dit TAC a dee) ditetrahedronary cubidis120. Its cells are rhoms, dids, and radeds. It had 120,880 pieces in 17 types, LOC = 244 with the old filling.

833. Dittacthi - (dit TAC thee) ditetrahedronary cubitris120. Its cells are rhoms, gissids, does, and radeds. It has 74520 pieces in 9 types, LOC = 161.


Verf of the Idedic Dattadies

Idedic - ridatady and raquid tathi are feral, others are wild. All are orientable except for ridatady.

834. Ridatady - (ri DAT a dee) retroinverted ditetrahedronary dis120. Its cells are ditdids and ideds. It had 120,840 pieces in 19 types, LOC = 298 with the old filling.

835. Gridtathi - (grid TATH thee) great retroinverted ditetrahedronary tris120. Its cells are sidtids, does, and ideds. It has 72600 pieces in 13 types, LOC = 173.

836. Grad Tathi - (grad TATH thee) great retroditetrahedronary tris120. Its cells are gidtids, gissids, and ideds. It has 67320 pieces in 8 types, LOC = 163.

837. Raquid Tathi - (RA quid TATH thee) retroquasinverted ditetrahedronary tris120. Its cells are gissids, does, and ideds. It has 154,920 pieces in 16 types, LOC = 374.

838. Grad Tidaphi - (GRAD tid DAF fee) great retroditetrahedronary disprismato120. Its cells are stips, pips, and ideds. It has 748,080 pieces in 67 types, LOC = 2327.

839. Ditpacady - (dit PAC a dee) ditetrahedronary prismatocubidis120. Its cells are rhoms, gissids, pips, and ideds. It has 88920 pieces in 10 types, LOC = 195.

840. Gidtapacady - (GID ta PAC a dee) great ditetrahedronary prismatocubidis120. Its cells are rhoms, does, stips, and ideds. It has 73680 pieces in 12 types, LOC = 153.


Verf of the Ryic Dattadies

Ryic - first one is tame, others are wild. All are non-orientable. The piece counts and LOCs are for the old filling, they should be higher now.

841. Datchi - (DAT chee) ditetrahedronary cubi120. Its cells are rhoms and ris. It had 186,840 pieces in 25 types, LOC = 571.

842. Ridathiphi - (RIDE a THIF fee) retroinverted ditetrahedronary 120prismato120. Its cells are gissids, stips, and ris. It had 402,120 pieces in 41 types, LOC = 1178.

843. Gridathiphi - (GRIDE a THIF fee) great retroinverted ditetrahedronary 120prismato120. Its cells are does, pips, and ris. It had 970,800 pieces in 80 types, LOC = 2817.

844. Datappady - (dat AP a dee) ditetrahedronary prismatodis120. Its cells are sidtids, stips, and ris. It had 41280 pieces in 8 types, LOC = 76.

845. Gidtappady - (gid TAP a dee) great ditetrahedronary prismatodis120. Its cells are gidtids, pips, and ris. It had 253,200 pieces in 24 types, LOC = 615.


Verf of the Tetracelli-ryic Dattadies

Tetracelli-ryic - the "tapthis" are all wild and non-orientable. The counts are for the old filling and should be higher now.

846. Ridtapthi - (rid TAP thee) retroinverted ditetrahedronary prismatotris120. Its cells are sidtids, dids, pips, and ris. It had 41280 pieces in 8 types, LOC = 76.

847. Gridtapthi - (grid TAP thee) great retroinverted ditetrahedronary prismatotris120. Its cells are gidtids, dids, stips, and ris. It had 163,680 pieces in 18 types, LOC = 296.

848. Gidtapthi - (gid TAP thee) great ditetrahedronary prismatotris120. Its cells are ditdids, gissids, pips, and ris. It had 189,720 pieces in 18 types, LOC = 409.

849. Dittapthi - (dit TAP thee) ditetrahedronary prismatotris120. Its cells are ditdids, does, stips, and ris. It had 311,280 pieces in 33 types, LOC = 993.

850. Redtapthi - (red TAP thee) retroditetrahedronary prismatotris120. Its cells are gissids, dids, pips, and ris. It had 547,320 pieces in 45 types, LOC = 1267.

851. Girdtapthi - (gird TAP thee) great retroditetrahedronary prismatotris120. Its cells are does, dids, stips, and ris. It had 294,480 pieces in 32 types, LOC = 724.


Verf of the Fissary Dattadies

Compound and Fissary - first two are compounds, the next one is a feral fissary, others are wild fissaries. All are orientable.

C. Datap - (DAY tap) ditetrahedronary prismatochoron. Its cells are 1200 hips. It has 3600 vertices fused into 600. It is a compound of 100 hiddips.

C. Teppix - (TEP pix) tripesic 600. Its cells are 600 tuts, it is a compound of 60 decas. It has 1800 vertices fused into 600.

F15. Quadippady - (qua DIP a dee) quasidisprismatodis120. Its cells are gissids, does, pips, and stips. Its symbol is x*'oo^x. It has 2400 vertices fused into 600. I nick-named this one "the Unholey Terror" sense its verf lacks the central hole that "the holey terror's" has. It is both vertex and edge fissary.

F16. Datfodippady - (DAT fo DIP a dee) ditetrahedrofissary disprismatodis120. Its cells are gidtids, gissids, pips, and stips. It is edge fissary.

F17. Dittanfodipdy - (dit TAN fo DIP dee) ditetrahedronary intercepted fissary disprismatodis120. Its cells are sidtids, does, pips, and stips. It is edge fissary. It has 72600 pieces in 13 types, LOC = 173.

F18. Dittafady - (dit TAF a dee) ditetrahedrofissary dis120. Its cells are dids and ideds. It has 1800 vertices fused into 600 and is vertex and edge fissary. Its symbol is (^'o*(xx)*'o^)/2.


Below is a slice of each of the dattadies including the compounds and fissaries. They are in the same order as listed above. Sections of the Dattadies


Gadtaxady Regiment

Gadtaxady's verf looks like a golden cuboctahedron - or better called golden rhombitetratetrahedron. Potential cells are: 120 sidtids, 120 ditdids, 120 gidtids, 120 rhoms (600 cubes), 120 gissids, 120 tets, 120 gids, 120 gaddids, 120 qrids, 120 girds, 720 stips, and 720 trips - 120 quit sissids and 720 stiddips can also be found, but quit sissids only appear in gitphi, while stiddips only show in the compound gadtap. Those of the primaries and secondaries that don't have tets will have intricate surface structures which I call "arenas" - these are quite attractive.

Slices of Gadtaxady Troops


Verf of the Primary Gadtaxadies

Primary - first five are tame, others are wild. All are orientable except for gardatady.

852. Gadtaxady - (gad TAK sa dee) grand ditetrahedronary 600dis120. Its cells are gissids, tets, and gids. It is the colonel of the regiment and its symbol is (oo*xo). It has 8520 pieces in 4 types, LOC = 26.

853. Gardtaxady - (gard TAK sa dee) grand retroditetrahedronary 600dis120. Its cells are gissids, tets, and sidtids. It is a sergeant of the regiment and its symbol is (o,(oo)*x). It has 107,160 pieces in 15 types, LOC = 421.

854. Gardatady - (gar DAT a dee) grand retroditetrahedronary dis120. Its cells are gids and sidtids. It is an agent of the regiment. It had 155,400 pieces in 20 types, LOC = 356.

855. Gadatady - (GAD a tad dee) grand ditetrahedronary dis120. Its cells are gissids and ditdids. It is a sergeant of the regiment and its symbol is o(oo^x*'). It has 60120 pieces in 11 types, LOC = 233.

856. Gadtaxhi - (gad TAK she) grand ditetrahedronary 600-120. Its cells are tets and gidtids. It is the lieutenant of the regiment and its symbol is o(o,o^x). It has 78000 pieces in 9 types, LOC = 261. Gadtaxhi forms a uniform antiprism in 5D which was discovered by Norman Johnson.

857. Gaid Tathi - (gade TATH thee) grand inverted ditetrahedronary tris120. Its cells are gissids, gids, and gidtids. It has 115,320 pieces in 16 types, LOC = 279.

858. Gaid Tadhix - (gade TAD hix) grand inverted ditetrahedronary dis120-600. Its cells are tets, gids, and ditdids. It has 15600 pieces in 4 types, LOC = 41.


Verf of the Secondary Gadtaxadies

Secondary - first one is feral, others are wild. All are orientable except for gand tadiphi.

859. Gadtadaphi - (gad TAD a fee) grand ditetrahedronary disprismato120. Its cells are gids, stips, and trips. It has 489,000 pieces in 46 types, LOC = 1490.

860. Gand Tadiphi - (GAND ta DIF fee) grand intercepted ditetrahedronary disprismato120. Its cells are sidtids, stips, and trips. It had 892,080 pieces in 79 types, LOC = 2435.

861. Gadtapicax - (gad TAP e cax) grand ditetrahedronary prismatocubi600. Its cells are tets, rhoms, and trips. It has 106,800 pieces in 11 types, LOC = 289.

862. Gadtacphi - (gad TAC fee) grand ditetrahedronary cubiprismato120. Its cells are gissids, rhoms, and stips. It has 206,520 pieces in 20 types, LOC = 641. This one looks really cool.

863. Gadtap Caxhi - (GAD tap CAK she) grand ditetrahedronary prismatocubi600-120. Its cells are tets, gids, rhoms, and stips. It has 92400 pieces in 12 types, LOC = 315.

864. Gadtapacady - (GAD ta PAC a dee) grand ditetrahedronary prismatocubidis120. Its cells are gissids, gids, rhoms, and trips. It has 336,120 pieces in 36 types, LOC = 1110.


Verf of the Gaddiddic Gadtaxadies

Gaddiddic - gadtardy and gadathixhi are feral, others are wild. All are orientable except for gadtardy.

865. Gadtardy - (gad TAR dee) grand ditetrahedronary retrodis120. Its cells are sidtids and gaddids. It had 59040 pieces in 8 types, LOC = 130, but is likely higher now.

866. Gardatathi - (GAR da TATH thee) grand retroditetrahedronary tris120. Its cells are gissids, gidtids, and gaddids. It has 55800 pieces in 10 types, LOC = 147.

867. Gard Tadhix - (gard TAD hix) grand retroditetrahedronary dis120-600. Its cells are tets, ditdids, and gaddids. It has 62880 pieces in 10 types, LOC = 162.

868. Gadathixhi - (GAD a THIK she) grand ditetrahedronary 120-600-120. Its cells are gissids, tets, and gaddids. It has 58200 pieces in 11 types, LOC = 155.

869. Gapdatphi - (gap DAT fee) grand prismatoditetrahedronary prismato120. Its cells are stips, trips, and gaddids. It has 44640 pieces in 6 types, LOC = 90.

870. Gadtapaxchi - (GAD ta PAX chee) grand ditetrahedronary prismato600cubi120. Its cells are tets, rhoms, stips, and gaddids. It has 48480 pieces in 8 types, LOC = 122.

871. Gadtacapady - (GAD ta CAP a dee) grand ditetrahedronary cubiprismatodis120. Its cells are gissids, rhoms, trips, and gaddids. It has 55800 pieces in 10 types, LOC = 147.


Verf of the Qriddic Gadtaxadies

Qriddic - middle two are feral, others are wild. All are non-orientable except for gadtacaxady. Their counts are from the old filling and is likely different now.

872. Gand Tapady - (gand TAP a dee) grand intercepted ditetrahedronary prismatodis120. Its cells are gidtids, stips, and qrids. It had 131,040 pieces in 12 types, LOC = 346.

873. Gand Thiphi - (gand THIF fee) grand intercepted ditetrahedronary 120prismato120. Its cells are ditdids, trips, and qrids. It had 159,840 pieces in 15 types, LOC = 412.

874. Gardtapaxhi - (GARD ta PAK she) grand retroditetrahedronary prismato600-120. Its cells are tets, stips, and qrids. It had 149,280 pieces in 16 types, LOC = 438.

875. Gadathiphi - (GAD a THIF fee) grand ditetrahedronary 120prismato120. Its cells are gissids, trips, and qrids. It had 199,800 pieces in 21 types, LOC = 547.

876. Gadtacady - (gad TAC a dee) grand ditetrahedronary cubidis120. Its cells are gids, rhoms, and qrids. It had 12240 pieces in 3 types, LOC = 31.

877. Gadtacaxady - (GAD ta CAK sa dee) grand ditetrahedronary cubi600dis120. Its cells are gissids, tets, rhoms, and qrids. It had 342,600 pieces in 35 types, LOC = 1083.


Verf of the Girdic Gadtaxadies

Girdic - first one is tame, others are wild. All of these are non-orientable. Their counts are from the old filling and is likely different now.

878. Gadtachi - (gad TACH chee) grand ditetrahedronary cubi120. Its cells are rhoms and girds. It had 213,600 pieces in 23 types, LOC = 512.

879. Gadtaphix - (GAD ta fix) grand ditetrahedronary prismato120-600. Its cells are tets, trips, and girds. It had 487,200 pieces in 46 types, LOC = 1770.

880. Gard Tapady - (gard TAP a dee) grand retroditetrahedronary prismatodis120. Its cells are gissids, stips, and girds. It had 314,520 pieces in 32 types, LOC = 1159.

881. Grand Thiphi - (GRAND THIF fee) grand retrointercepted ditetrahedronary 120prismato120. Its cells are gidtids, trips, and girds. It had 666,000 pieces in 55 types, LOC = 1758.

882. Grand Tapady - (GRAND TAP a dee) grand retrointercepted ditetrahedronary prismatodis120. Its cells are ditdids, stips, and girds. It had 761,280 pieces in 74 types, LOC = 2642. This one has a freaky verf.


Verf of the Tetracelli-girdic Gadtaxadies

Tetracelli-girdic - all are wild and non-orientable. Their counts are from the old filling and is likely different now.

883. Gadathipady - (GAD a THIP a dee) grand ditetrahedronary 120prismatodis120. Its cells are gids, gidtids, stips, and girds. It had 239,400 pieces in 29 types, LOC = 608.

884. Gadtad Hiphi - (GAD tad HIF fee) grand ditetrahedronary dis120prismato120. Its cells are gids, ditdids, trips, and girds. It had 253,800 pieces in 30 types, LOC = 694.

885. Gadtapixady - (GAD ta PIK sa dee) grand ditetrahedronary prismato600dis120. Its cells are tets, sidtids, stips, and girds. It had 60000 pieces in 8 types, LOC = 138.

886. Gardtapthi - (gard TAP thee) grand retroditetrahedronary prismatotris120. Its cells are gissids, sidtids, trips, and girds. It had 377,160 pieces in 38 types, LOC = 920.

887. Gadtapdahix - (gad TAP da hix) grand ditetrahedronary prismatodis120-600. Its cells are tets, gids, stips, and girds. It had 49200 pieces in 7 types, LOC = 111.

888. Gadtapthi - (gad TAP thee) grand ditetrahedronary prismatotris120. Its cells are gissids, gids, trips, and girds. It had 177,720 pieces in 22 types, LOC = 448.


Verf of the Fissary Gadtaxadies

Compound and Fissary - first one is feral, others are wild. All are orientable.

C. Gadtap - (GAD tap) great ditetrahedral prismatochoron. Its cells are 720 stiddips. It has 3600 vertices fused into 600. It is a compound of 36 stadedips.

F2. Gitphi - (GIT fee) great tripesic 120. Its cells are 120 quit sissids. It was counted in category 7 amongst the fissaries. Its symbol is o^x*'x^o and it has 1800 vertices fused into 600. It is vertex fissary.

F19. Quad Pagaxhi - (QUAD pa GAK she) quasidisprismatogrand600-120. Its cells are tets, gissids, stips, and trips. Its symbol is xoo*x and it has 2400 vertices fused into 600. It is vertex and edge fissary.

F20. Gadtaf Dapixhi - (GAD taf da PIK she) great ditetrahedrofissary disprismato600-120. Its cells are ditdids, tets, stips, and trips. It is edge fissary.

F21. Gadtaf Dipdy - (GAD taf DIP dee) great ditetrahedrofissary disprismatodis120. Its cells are gidtids, gissids, stips, and trips. It is edge fissary.

F22. Gadtifady - (gad TIF a dee) great ditetrahedrofissary dis120. Its cells are gids and gaddids. Its symbol is (o*(x*'x)*o)/2. It is vertex and edge fissary with 1800 vertices fused into 600.


Below is a slice of all the gadtaxadies fused together. They are in the same order as listed above. Sections of the Gadtaxadies


Conjugates

Below shows how the ditetrahedrals pair up as conjugates.

The following are self-conjugates: dattathi, radatady, radatathi, raddit diphi, dittadphi, dittacady, dittacthi, ridatady, raquid tathi, grad tidaphi, datchi, quadippady, and dittafady.

The following are conjugate pairs: sidtaxhi-gadtaxhi, sidtaxady-gardtaxady, siddatady-gadatady, sirdatady-gardatady, sirdtaxady-gadtaxady, siddatdahix-gaid tadhix, sridtathi-gaid tathi, sidtadphi-gadtadaphi, sandit diphi-gand tadiphi, sidtapicax-gadtapicax, sidtacphi-gadtacphi, sadtip caxhi-gadtap caxhi, sadtipacady-gadtapacady, sand tapady-gand tapady, sarned thiphi-gand thiphi, siddit paxhi-gardtapaxhi, sirdtapady-gadathiphi, sidtacady-gadtacady, sadticaxady-gadtacaxady, sridatady-gadtardy, sand tathi-gardatathi, sradditdahix-gard tadhix, sadthixhi-gadathixhi, sapditphi-gapdatphi, sadtip xachi-gadtapaxchi, sidtacpady-gadtacapady, siddatchi-gadtachi, sadtaphix-gadtaphix, sidtapady-gard tapady, sand thiphi-grand thiphi, sarned tippady-grand tapady, sadthipady-gadathipady, sard thipady-gadtad hiphi, sadtapaxady-gadtapixady, sadtapthi-gardtapthi, sadtipdohix-gadtapdahix, sard tipthi-gadtapthi, saquid paxhi-quad pagaxhi, sadtaf dapixhi-gadtaf dapixhi, sadtaf dipdy-gadtaf dipdy, sadtifady-gadtifady, dattady-giddatady, mardatathi-ridatathi, datcaphi-gidtacphi, datcapady-gidtacpady, ridatippady-gird tapady, dard tipady-gidard tipady, gridtathi-grad tathi, ditpacady-gidtapacady, ridathiphi-gridathiphi, datappady-gidtappady, ridtapthi-gridtapthi, gidtapthi-dittapthi, redtapthi-girdtapthi, and datfodippady-dittanfodipdy.

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