18. Tip - truncated pentachoron. The symbol is ooxx. Its cells are 5 tets and 5 tuts. It has 20 verts (vertices). Its verf (vertex figure) is a trigonal pyramid. It has 10 pieces with two types, LOC = 4. This is the 4-D version of tut. It has pennic symmetry.
19. Tat - truncated tesseract. The symbol is oox'x. Its cells are 8 tics, and 16 tets. It has 64 verts. Its verf is also a trigonal pyramid. It has 24 pieces with two types and has tessic symmetry. LOC = 4. This is the 4-D version of tic.
20. Thex - (THEKS) truncated hexadecachoron. The symbol is xxo'o, it can also be symbolized as o9x. This polychoron is the 4-D version of tico, it has 16 tuts and 8 octs for it's cells and 48 verts. Its verf is a square pyramid. It also has 24 pieces with two types and has tessic symmetry. LOC = 4. It also has another regiment member - titho.
21. Tico - (TI co) truncated icositetrachoron, it also acts as the great rhombated hex. The symbol can be oo'xx, xxx'o, or xx$x. It has 24 cubes and 24 toes as cells, it also has 192 verts. Its verf is a trigonal pyramid. It has 48 pieces with two types, LOC = 4. It has icoic symmetry.
22. Thi - truncated hecatonicosachoron. The symbol is oox^x. This polychoron is the 4-D tid, it has 2400 verts and has 120 tids and 600 tets as cells. Its verf is a trigonal pyramid. It has 720 pieces in two types, LOC = 4. It has hyic symmetry.
23. Tex - truncated hexacosichoron. The symbol is xxo^o. This polychoron is the 4-D version of ti, its cells are 120 ikes and 600 tuts. It has 1440 verts with a pentagonal pyramid verf. It has 720 pieces in two types, LOC = 4. Tex is hyic and has one other regiment member - tiffix.
24. Tiffix - (TIF fix) truncated fix. The symbol is xx^o*o. Its cells are 120 gads and 120 tis. Its verf is a star pyramid. It has 2520 pieces with two types, LOC = 13.
25. Tighi - (TIG hi) truncated gohi. The symbol is o^o*x^x. Its cells are 120 sissids and 120 tigids. Its verf is a long narrow pentagon pyramid. Tighi has 3720 pieces with two types, LOC = 15.
26. Taghi - (TAG hi) truncated gahi. The symbol is o*ox^x. Its cells are 120 gikes and 120 tids. Its verf is a star pyramid. It has 21720 pieces in 4 types, LOC = 71.
27. Tigaghi - (tih GAG hi) truncated gaghi. The symbol is oo*x^x. Its cells are 120 gissids and 120 tigids. Its verf is a trigonal pyramid. Tigaghi has 10920 pieces in three types, LOC = 42.
28. Tigfix - (TIG fix) truncated gofix. The symbol is xx*o^o. It has 120 sissids and 120 tiggies. Its verf is a pentagon pyramid. It has 15960 pieces in four types, LOC = 48.
29. Taggix - (TAG gix) truncated gax. The symbol is xxo*o. Its cells are 120 gikes and 600 tuts. Its verf is a star pyramid. This is one of the more wilder looking truncates with 80760 pieces in 9 types, LOC = 269 - highest LOC in this category.
30. Titho - (TIH tho) truncated tho. Its cells are 8 thahs, 8 tuts, and 4 toes. It has 48 verts with a bow-tie pyramid verf. It belongs to the thex regiment and has 72 pieces with 3 types, LOC = 17.
31. Tissidtixhi - (TIS sid TIK she) truncated sidtixhi. The symbol is x(x*oo). Its cells are 120 sidtids, 600 tuts, and 120 tiggies. Its verf is a ditrigon pyramid. It has 15960 pieces in 5 types, LOC = 66.
32. Tidtidohi - (tid TID uh hee) truncated dittady. The symbol is x(x*'oo^). Its cells are 120 ditdids, 120 tiggies, and 120 tis. Its verf is a tripod pyramid. It has 67800 pieces in 10 types, LOC = 186. It ties with quit gogishi for the most piece types in category 2.
33. Tiggidtixhi - (TIJ jid TIK she) truncated gidtixhi. The symbol is x(x^o,o). Its cells are 120 gidtids, 600 tuts, and 120 tis. Its verf is a tripod pyramid. It has 57720 pieces in 9 types, LOC = 199.
34. Quitit - (QUID it) quasitruncated tesseract. The symbol is oox"x. It has 64 verts with a trigonal pyramid verf. Its cells are 8 quiths and 16 tets. It is the 4-D version of quith. It looks like a crowned tesseract in the same way a quith looks like a crowned cube. It has 120 pieces with 3 types, LOC = 25.
35. Quit Sishi - (quit SISH she) quasitruncated sishi. The symbol is oo^x*'x. It has 2400 verts with a trigonal pyramid verf. Its cells are 120 quit sissids and 120 does. It is the 4-D version of quit sissid. It looks like a crowned hi in the same way a quit sissid looks like a crowned doe. It has 3960 pieces in 3 types, LOC = 25.
36. Quit Gishi - (quit GISH she) quasitruncated gishi. The symbol is o^ox*'x. It has 1440 verts with a pentagonal pyramid verf. Its cells are 120 quit gissids and 120 ikes. It has 35040 pieces in 7 types, LOC = 120. Quit gishi and quit gashi form a regiment.
37. Quit Gashi - (quit GASH she) quasitruncated gashi. The symbol is o*o^x*'x. It has 1440 verts with a star pyramid verf. Its cells are 120 quit sissids and 120 gads. It is quite wild looking with 51840 pieces in 7 types, LOC = 148.
38. Quit Gogishi - (QUIT go GISH she) quasitruncated gogishi. The symbol is oox*'x. It has 2400 verts with a trigonal pyramid verf. Its cells are 120 quit gissids and 600 tets. It is the 4-D version of quit gissid, although it doesn't look it. It has 103,200 pieces in 10 types, LOC = 252. It has the highest piece count in this category - it also ties with tidtidohi with largest number of piece types in this category.
Conjugates
The following are self conjugates: tip, thex, titho, tico, and tidtidohi.
The following are conjugate pairs: tat-quitit, thi-quit gogishi, tex-taggix, tiffix-tigfix, tighi-quit gashi, taghi-quit gishi, tigaghi-quit sishi, tissidtixhi-tiggidtixhi.
Regiments
The following are singletons: tip, tat, tico, thi, tigaghi, quitit, quit sishi, and quit gogishi.
The following are grouped into regiments: thex-titho, tex-tiffix, tighi-taghi, tigfix-taggix, tissidtixhi-tidtidohi-tiggidtixhi, and quit gishi-quit gashi.
Category 1 --- back to Polychoron Page --- Category 3
