User:Double sharp/Uniform polychora
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This lists the convex uniform polychora in Bowers' and Johnson's names. The left # column is Bowers' numbering; the right # is Olshevsky's (and Wikipedia's).
# | Bowers acronym | Bowers-style name[note 1] | Johnson-style name[note 2] | # |
---|---|---|---|---|
Category 1: Regulars | ||||
1 | Pen | Pentachoron | 5-cell | 1 |
2 | Tes | Tesseract | Tesseract | 10 |
3 | Hex | Hexadecachoron | 16-cell | 12 |
4 | Ico | Icositetrachoron | 24-cell | 22 |
5 | Hi | Hecatonicosachoron | 120-cell | 32 |
6 | Ex | Hexacosichoron | 600-cell | 35 |
Category 2: Truncates | ||||
18 | Tip | Truncated pentachoron | Truncated 5-cell | 3 |
19 | Tat | Truncated tesseract | Truncated tesseract | 13 |
20 | Thex | Truncated hexadecachoron | Truncated 16-cell
|
17 |
21 | Tico | Truncated icositetrachoron | Truncated 24-cell
|
24 |
22 | Thi | Truncated hecatonicosachoron | Truncated 120-cell
|
36 |
23 | Tex | Truncated hexacosichoron | Truncated 600-cell
|
41 |
Category 3: Triangular Rectates | ||||
39 | Rap | Rectified pentachoron | Rectified 5-cell | 2 |
42 | Rit | Rectified tesseract | Rectified tesseract | 11 |
45 | Rico | Rectified icositetrachoron | Rectified 24-cell | 23 |
48 | Rahi | Rectified hecatonicosachoron | Rectified 120-cell | 33 |
Category 5: Pentagonal Rectates | ||||
73 | Rox | Rectified hexacosichoron | Rectified 600-cell | 34 |
Category 6: Sphenoverts | ||||
133 | Srip | Small rhombated pentachoron | Cantellated 5-cell | 4 |
140 | Srit | Small rhombated tesseract | Cantellated tesseract | 14 |
151 | Srico | Small rhombated icositetrachoron | Cantellated 24-cell
|
25 |
158 | Srahi | Small rhombated hecatonicosachoron | Cantellated 120-cell | 37 |
165 | Srix | Small rhombated hexacosichoron | Cantellated 600-cell
|
40 |
Category 7: Bitruncates | ||||
298 | Deca | Decachoron | Bitruncated 5-cell
|
6 |
299 | Tah | Tesseractihexadecachoron | Bitruncated tesseract
|
16 |
300 | Cont | Tetracontoctachoron | Bitruncated 24-cell
|
27 |
301 | Xhi | Hexacosihecatonicosachoron | Bitruncated 120-cell
|
39 |
Category 8: Great Rhombates | ||||
307 | Grip | Great rhombated pentachoron | Cantitruncated 5-cell
|
7 |
308 | Grit | Great rhombated tesseract | Cantitruncated tesseract
|
18 |
309 | Grico | Great rhombated icositetrachoron | Cantitruncated 24-cell
|
28 |
310 | Grahi | Great rhombated hecatonicosachoron | Cantitruncated 120-cell
|
42 |
311 | Grix | Great rhombated hexacosichoron | Cantitruncated 600-cell
|
45 |
Category 9: Omnitruncates | ||||
330 | Gippid | Great prismatodecachoron | Omnitruncated 5-cell
|
9 |
331 | Gidpith | Great disprismatotesseractihexadecachoron | Omnitruncated tesseract
|
21 |
332 | Gippic | Great prismatotetracontoctachoron | Omnitruncated 24-cell
|
30 |
333 | Gidpixhi | Great disprismatohexacosihecatonicosachoron | Omnitruncated 120-cell
|
46 |
Category 10: Prismatorhombates | ||||
352 | Prip | Prismatorhombated pentachoron | Runcitruncated 5-cell
|
8 |
355 | Prit | Prismatorhombated tesseract | Runcitruncated 16-cell
|
20 |
358 | Proh | Prismatorhombated hexadecachoron | Runcitruncated tesseract
|
19 |
361 | Prico | Prismatorhombated icositetrachoron | Runcitruncated 24-cell
|
29 |
364 | Prahi | Prismatorhombated hecatonicosachoron | Runcitruncated 600-cell
|
43 |
367 | Prix | Prismatorhombated hexacosichoron | Runcitruncated 120-cell
|
44 |
Category 11: Antipodiumverts | ||||
442 | Spid | Small prismatodecachoron | Runcinated 5-cell | 5 |
447 | Sidpith | Small disprismatotesseractihexadecachoron | Runcinated tesseract
|
15 |
454 | Sidpixhi | Small disprismatohexacosihecatonicosachoron | Runcinated 120-cell
|
38 |
Category 13: Spic and Giddic Regiments | ||||
512 | Spic | Small prismatotetracontoctachoron | Runcinated 24-cell
|
26 |
Category 19: Prisms | ||||
889 | Tepe | Tetrahedral prism | Tetrahedral prism | 48 |
890 | Ope | Octahedral prism | Octahedral prism | 51 |
891 | Dope | Dodecahedral prism | Dodecahedral prism | 57 |
892 | Ipe | Icosahedral prism | Icosahedral prism
|
59 |
898 | Tuttip | Truncated tetrahedral prism | Truncated tetrahedral prism
|
49 |
899 | Ticcup | Truncated cubic prism | Truncated cubic prism
|
53 |
900 | Tope | Truncated octahedral prism | Truncated octahedral prism
|
54 |
901 | Tiddip | Truncated dodecahedral prism | Truncated dodecahedral prism
|
60 |
902 | Tipe | Truncated icosahedral prism | Truncated icosahedral prism
|
62 |
908 | Cope | Cuboctahedral prism | Cuboctahedral prism
|
50 |
909 | Iddip | Icosidodecahedral prism | Icosidodecahedral prism
|
58 |
923 | Sircope | Small rhombicuboctahedral prism | Rhombicuboctahedral prism | 52 |
926 | Sriddip | Small rhombicosidodecahedral prism | Rhombicosidodecahedral prism
|
61 |
944 | Gircope | Great rhombicuboctahedral prism | Truncated cuboctahedral prism
|
55 |
945 | Griddip | Great rhombicosidodecahedral prism | Truncated icosidodecahedral prism
|
63 |
951 | Sniccup | Snub cubic prism | Snub cubic prism
|
56 |
952 | Sniddip | Snub dodecahedral prism | Snub dodecahedral prism
|
64 |
Category 20: Miscellaneous | ||||
963 | Gap | Grand antiprism | Grand antiprism | 47 |
969 | Sadi | Snub disicositetrachoron | Snub 24-cell | 31 |