User:Double sharp/Polychora/Truncates
| # | Schläfli symbol | Bowers acronym | Long name | CD |
|---|---|---|---|---|
| Truncated convex regular polychora | ||||
| 18 | t{3,3,3} | Tip | Truncated 5-cell |   
|
| 19 | t{4,3,3} | Tat | Truncated tesseract | 
|
| 20 | t{3,3,4} | Thex | Truncated 16-cell | or  
|
| 21 | t{3,4,3} | Tico | Truncated 24-cell | or or 
|
| 22 | t{5,3,3} | Thi | Truncated 120-cell | 
|
| 23 | t{3,3,5} | Tex | Truncated 600-cell |
|
| Truncated Schläfli-Hess polychora | ||||
| 24 | t{3,5,5/2} | Tiffix | Truncated faceted hexacosichoron |  
|
| 25 | t{5,5/2,5} | Tighi | Truncated great hecatonicosachoron |
|
| 26 | t{5,3,5/2} | Taghi | Truncated grand hecatonicosachoron |
|
| 27 | t{5,5/2,3} | Tigaghi | Truncated great grand hecatonicosachoron |
|
| 28 | t{3,5/2,5} | Tigfix | Truncated great faceted hexacosichoron |
|
| 29 | t{3,3,5/2} | Taggix | Truncated great hexacosichoron |
|
| Others | ||||
| 30 | Titho | Truncated tesseractihemioctachoron | ||
| Truncated ditrigonaries | ||||
| 31 | t{3,(5/2,3,3)} | Tissidtixhi | Truncated small ditrigonary hexacosihecatonicosachoron |  
|
| 32 | t{3,(5,5/3,3)} | Tidtidohi | Truncated ditrigonary dishecatonicosachoron |      (the 5/3 goes on the vertical line)
|
| 33 | t{3,(5/3,3,3/2)} | Tiggidtixhi | Truncated great ditrigonary hexacosihecatonicosachoron | 
|
| Quasitruncates | ||||
| 34 | t{4/3,3,3} | Quitit | Quasitruncated tesseract | 
|
| 35 | t{5/3,5,3} | Quit Sishi | Quasitruncated small stellated hecatonicosachoron |
|
| 36 | t{5/3,3,5} | Quit Gishi | Quasitruncated great stellated hexacosichoron |
|
| 37 | t{5/3,5,5/2} | Quit Gashi | Quasitruncated grand stellated hexacosichoron |
|
| 38 | t{5/3,3,3} | Quit Gogishi | Quasitruncated great grand stellated hecatonicosachoron |
|
Truncated Schläfli-Hess polychora
[edit]Truncated names should be consistent with regular forms at afli-Hess polychoron Tom Ruen (talk) 23:57, 28 March 2014 (UTC)
| Name (Bowers acronym) |
Solid | Schläfli {p, q,r} Coxeter–Dynkin |
Cells1 t{p, q} |
Cells2 {q, r} |
Faces1 t{p} |
Faces2 {q} |
Edges | Vertices | Density | χ |
|---|---|---|---|---|---|---|---|---|---|---|
| Truncated icosahedral 120-cell (or Truncated faceted 600-cell) #24 (Tiffix) |
|
t{3,5,5/2}
|
120 t{3,5} 
|
120 {5,5/2} 
|
1200 {6} 
|
1440 {5} 
|
4320 | 1440 | 4 | 480 |
| Truncated great 120-cell #25 (tighi) |
|
t{5,5/2,5}
|
120 t{5,5/2} 
|
120 {5/2,5} 
|
720 {10} 
|
1440 {5/2} 
|
4320 | 1440 | 6 | 0 |
| Truncated grand 120-cell #26 (taghi) |
|
t{5,3,5/2}
|
120 t{5,3} 
|
120 {3,5/2} 
|
720 {10}
|
2400 {3} 
|
4320 | 1440 | 20 | 0 |
| Truncated great grand 120-cell #27 (tigaghi) |
|
t{5,5/2,3}
|
120 t{5,5/2}
|
120 {5/2,3} 
|
720 {10}
|
1440 {5/2}
|
4800 | 2400 | 76 | −480 |
| Truncated great icosahedral 120-cell (or Truncated great faceted 600-cell) #28 (tigfix) |
|
t{3,5/2,5}
|
120 t{3,5/2} 
|
120 {5/2,5}
|
1200 {6}
|
1440 {5/2}
|
4320 | 1440 | 76 | 480 |
| Truncated grand 600-cell #29 (taggix) |
|
t{3,3,5/2}
|
600 t{3,3} 
|
120 {3,5/2}
|
1200 {6}
|
2400 {3}
|
4320 | 1440 | 191 | 0 |
- Aren't they already consistent? (save the substitution of hecatonicosachoron and hexacosichoron for 120-cell and 600-cell)
- Where do you get the decagons in tigfix from? I think you're missing the hexagons from the tiggy cells. Now it matches with what Stella4D gives. Edges and faces should be duals of each other, hence should be 4320 edges – matching taggix. Double sharp (talk) 05:46, 28 March 2014 (UTC)