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.

Sidtaxhi Sirdtaxady

Primary - first five are tame, last two are wild.

778. Sidtaxhi - (sid TAK she) small ditetrahedronary 600-120. Its cells are sidtids and tets. 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 has 16920 pieces in 5 types, LOC = 43.

780. Siddatady - (sid DAT a dee) small ditetrahedronary dis120. Its cells are ditdids and does. 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 has 43320 pieces with 7 types, LOC = 110.

782. Sirdtaxady - (sird TAK sa dee) small retroditetrahedronary 600dis120. Its cells are tets, does, and ids. 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.

Secondary - first one is feral, others are wild.

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 has 277,320 pieces in 26 types, LOC = 537.

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.

Sriddic - siddit paxhi and sirdtapady are feral, others are wild.

791. Sand Tapady - (SAND TAP a dee) small intercepted ditetrahedronary prismatodis120. Its cells are sidtids, pips, and srids. It has 14520 pieces in 3 types, LOC = 33.

792. Sarned Thiphi - (sarnd THIF fee) small retrointercepted ditetrahedronary 120prismato120. Its cells are ditdids, trips, and srids. It has 512,760 pieces in 45 types, LOC = 1234. 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 has 115,320 pieces in 13 types, LOC = 222.

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.

Saddiddic - sridatady and sadthixhi are feral, others are wild.

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

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.

Sirdic - first one is tame, others are wild.

804. Siddatchi - (sid DAT chee) small ditetrahedronary cubi120. Its cells are rhoms and sirds. It has 231,720 pieces in 27 types, LOC = 592. This one has holes and membranes.

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 has 7320 pieces in 2 types, LOC = 17.

808. Sarned Tippady - (sarnd TIP a dee) small retrointercepted ditetrahedronary prismatodis120. Its cells are ditdids, pips, and sirds. It has 354,360 pieces in 30 types, LOC = 881.

Tetracelli-sirdic - all wild.

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

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

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

812. Sadtapthi - (sad TAP thee) small ditetrahedronary prismatotris120. Its cells are gidtids, does, trips, and sirds. It has 277,320 pieces in 26 types, LOC = 537.

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.

Fissary - first one is feral, others are wild.

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" sense its verf is full of holes.

F12. Sadtaf Dapixhi - (SAD taf da PIK she) small ditetrahedrofissary disprismato600-120. Its cells are ditdids, tets, pips, and trips.

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.

F14. Sadtifady - (sad TIF a dee) small ditetrahedrofissary dis120. Its cells are ids and saddids.


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 hiddips can also be found, but each only appear in the compounds teppix and datap respectively.

Dattady Giddatady

Primary - first five are tame, last two are wild.

815. Dattady - (DAT a dee) ditetrahedronary dis120. Its cells are sidtids and gissids. 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 111,960 pieces in 14 types, LOC = 427.

817. Giddatady - (gid DAT a dee) great ditetrahedronary dis120. Its cells are gidtids and does. It has 22920 pieces in 6 types, LOC = 85.

818. Radatady - (RAD a tad ee) retroditetrahedronary dis120. Its cells are ditdids and dids. It has 89520 pieces in 14 types, LOC = 188.

819. Radatathi - (RAD a TATH ee) retroditetrahedronary tris120. Its cells are gissids, does, and dids. 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.

Secondary - first one feral, others wild.

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 has 415,680 pieces in 38 types, LOC = 1072.

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.

Radedic - middle two are feral, others are wild.

828. Ridatippady - (RIDE a TIP a dee) retroinverted ditetrahedronary prismatodis120. Its cells are sidtids, pips, and radeds. It has 62880 pieces in 12 types, LOC = 143.

829. Gird Tappady - (gird TAP a dee) great retroditetrahedronary prismatodis120. Its cells are gidtids, stips, and radeds. It has 185,280 pieces in 20 types, LOC = 376.

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

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

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

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

Idedic - ridatady and raquid tathi are feral, others are wild.

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

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.

Ryic - first one is tame, others are wild.

841. Datchi - (DAT chee) ditetrahedronary cubi120. Its cells are rhoms and ris. It has 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 has 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 has 970,800 pieces in 80 types, LOC = 2817.

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

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

Tetracelli-ryic - the "tapthis" are all wild.

846. Ridtapthi - (rid TAP thee) retroinverted ditetrahedronary prismatotris120. Its cells are sidtids, dids, pips, and ris. It has 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 has 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 has 189,720 pieces in 18 types, LOC = 409.

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

850. Redtapthi - (red TAP thee) retroditetrahedronary prismatotris120. Its cells are gissids, dids, pips, and ris. It has 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 has 294,480 pieces in 32 types, LOC = 724.

Fissary - first one is feral, others are wild.

F15. Quadippady - (qua DIP a dee) quasidisprismatodis120. Its cells are gissids, does, pips, and stips. I nick-named this one "the Unholey Terror" sense its verf lacks the central hole that "the holey terror's" has.

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

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

F18. Dittafady - (dit TAF a dee) ditetrahedrofissary dis120. Its cells are dids and ideds.


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.

Gadtaxady Gadtaxhi

Primary - first five are tame, others are wild.

852. Gadtaxady - (gad TAK sa dee) grand ditetrahedronary 600dis120. Its cells are gissids, tets, and gids. 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 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 has 155,400 pieces in 20 types, LOC = 356.

855. Gadatady - (GAD a tad dee) grand ditetrahedronary dis120. Its cells are gissids and ditdids. 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 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.

Secondary - first one is feral, others are wild.

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 has 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.

Gaddiddic - gadtardy and gadathixhi are feral, others are wild.

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

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.

Qriddic - middle two are feral, others are wild.

872. Gand Tapady - (gand TAP a dee) grand intercepted ditetrahedronary prismatodis120. Its cells are gidtids, stips, and qrids. It has 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 has 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 has 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 has 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 has 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 has 342,600 pieces in 35 types, LOC = 1083.

Girdic - first one is tame, others are wild.

878. Gadtachi - (gad TACH chee) grand ditetrahedronary cubi120. Its cells are rhoms and girds. It has 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 has 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 has 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 has 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 has 761,280 pieces in 74 types, LOC = 2642. This one has a freaky verf.

Tetracelli-girdic - all wild.

883. Gadathipady - (GAD a THIP a dee) grand ditetrahedronary 120prismatodis120. Its cells are gids, gidtids, stips, and girds. It has 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 has 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 has 60000 pieces in 8 types, LOC = 138.

886. Gardtapthi - (gard TAP thee) grand retroditetrahedronary prismatotris120. Its cells are gissids, sidtids, trips, and girds. It has 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 has 49200 pieces in 7 types, LOC = 111.

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

Fissary - first one is feral, others are wild.

F19. Quad Pagaxhi - (QUAD pa GAK she) quasidisprismatogrand600-120. Its cells are tets, gissids, stips, and trips.

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

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

F22. Gadtifady - (gad TIF a dee) great ditetrahedrofissary dis120. Its cells are gids and gaddids.

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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