User:Double sharp/Semiregular polychora
Just the semiregulars, to keep things manageable. The set of usable cells is just the 9 regular polyhedra; obviously the vertex figure must contain only regular polygons (in fact, only triangles, squares, pentagons, and pentagrams will do).
| # | Bowers acronym | Name | Symbol | Cells |
|---|---|---|---|---|
| 1 | Pen | Pentachoron | ooox | 5 tets |
| 2 | Tes | Tesseract | ooo'x | 8 cubes |
| 3 | Hex | Hexadecachoron | xoo'o or o8x | 16 tets |
| 4 | Ico | Icositetrachoron | oo'ox or oxo'o or o9o | 24 octs |
| 5 | Hi | Hecatonicosachoron | ooo^x | 120 does |
| 6 | Ex | Hexacosichoron | xoo^o | 600 tets |
| 7 | Fix | Faceted hexacosichoron | xo^o*o | 120 ikes |
| 8 | Gohi | Great hecatonicosachoron | o^o*o^x | 120 gads |
| 9 | Gahi | Grand hecatonicosachoron | o*oo^x | 120 does |
| 10 | Sishi | Small stellated hecatonicosachoron | oo^o*x | 120 sissids |
| 11 | Gaghi | Great grand hecatonicosachoron | oo*o^x | 120 gads |
| 12 | Gishi | Great stellated hecatonicosachoron | x*oo^o | 120 gissids |
| 13 | Gashi | Grand stellated hecatonicosachoron | o*o^o*x | 120 sissids |
| 14 | Gofix | Great faceted hexacosichoron | xo*o^o | 120 gikes |
| 15 | Gax | Grand hexacosichoron | xoo*o | 600 tets |
| 16 | Gogishi | Great grand stellated hecatonicosachoron | ooo*x | 120 gissids |
| 17 | Tho | Tesseractihemioctachoron | 8 tets, 4 octs | |
| 39 | Rap | Rectified pentachoron | ooxo | 5 tets, 5 octs |
| 73 | Rox | Rectified hexacosichoron | oxo^o | 120 ikes, 600 octs |
| 119 | Raggix | Rectified grand hexacosichoron | oxo*o | 120 gikes, 600 octs |
| 764 | Sidtixhi | Small ditrigonary hexacosihecatonicosachoron | x(o*oo) | 120 gikes, 600 tets |
| 765 | Dittady | Ditrigonary dishecatonicosachoron | x(o*'oo^) | 120 gikes, 120 ikes |
| 766 | Gidtixhi | Great ditrigonary hexacosihecatonicosachoron | x(o^o,o) | 600 tets, 120 ikes |
| 969 | Sadi | Snub disicositetrachoron | s$s or oo'ss or sss'o | 24 ikes, 24+96 tets |
| 970 | Rasdi | Retrosnub disicositetrachoron | sss"o or oo"s,s | 24 gikes, 24+96 tets |
| 971 | Rappisdi | Retroantiprismatosnub disicositetrachoron | 24 ikes, 24 gikes, 96 octs | |
| 1474 | Sadsadox | Small disnub dishexacosichoron | 600 2ikes, 2400 2octs | |
| 1483 | Gadsadox | Great disnub dishexacosichoron | 600 2gikes, 2400 2octs |