great-prismated-tesseract prism,
central segment of cogart
- uniform relative:
- cogart
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | gidpithip |
| Name |
great-disprismatotesseractihexadecachoric prism, great-prismated-tesseract prism, central segment of cogart |
| Circumradius | sqrt[33+12 sqrt(2)]/2 = 3.534493 |
| Face vector | 768, 1920, 1696, 624, 82 |
| Confer |
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External links |
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As abstract polyteron gidpithip is isomorphic to gaquidpothip, thereby replacing the octagons by octagrams, resp. replacing girco by quitco and op by stop, resp. replacing gidpith by gaquidpoth, gircope by quitcope, and sodip by sistodip.
Incidence matrix according to Dynkin symbol
x x3x3x4x . . . . . | 768 | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------+-----+---------------------+----------------------------------------+-------------------------------+------------- x . . . . | 2 | 384 * * * * | 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0 . x . . . | 2 | * 384 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 384 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 384 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 384 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+-----+---------------------+----------------------------------------+-------------------------------+------------- x x . . . | 4 | 2 2 0 0 0 | 192 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 192 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 192 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 192 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 0 | * * * * 128 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 192 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 192 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 128 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 192 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x4x | 8 | 0 0 0 4 4 | * * * * * * * * * 96 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+-----+---------------------+----------------------------------------+-------------------------------+------------- x x3x . . ♦ 12 | 6 6 6 0 0 | 3 3 0 0 2 0 0 0 0 0 | 64 * * * * * * * * * | 1 1 0 0 0 x x . x . ♦ 8 | 4 4 0 4 0 | 2 0 2 0 0 2 0 0 0 0 | * 96 * * * * * * * * | 1 0 1 0 0 x x . . x ♦ 8 | 4 4 0 0 4 | 2 0 0 2 0 0 2 0 0 0 | * * 96 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 64 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 96 * * * * * | 0 1 0 1 0 x . . x4x ♦ 16 | 8 0 0 8 8 | 0 0 4 4 0 0 0 0 0 2 | * * * * * 48 * * * * | 0 0 1 1 0 . x3x3x . ♦ 24 | 0 12 12 12 0 | 0 0 0 0 4 6 0 4 0 0 | * * * * * * 32 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 0 6 | 0 0 0 0 2 0 3 0 3 0 | * * * * * * * 64 * * | 0 1 0 0 1 . x . x4x ♦ 16 | 0 8 0 8 8 | 0 0 0 0 0 4 4 0 0 2 | * * * * * * * * 48 * | 0 0 1 0 1 . . x3x4x ♦ 48 | 0 0 24 24 24 | 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * 16 | 0 0 0 1 1 ----------+-----+---------------------+----------------------------------------+-------------------------------+------------- x x3x3x . ♦ 48 | 24 24 24 24 0 | 12 12 12 0 8 12 0 8 0 0 | 4 6 0 4 0 0 2 0 0 0 | 16 * * * * x x3x . x ♦ 24 | 12 12 12 0 12 | 6 6 0 6 4 0 6 0 6 0 | 2 0 3 0 3 0 0 2 0 0 | * 32 * * * x x . x4x ♦ 32 | 16 16 0 16 16 | 8 0 8 8 0 8 8 0 0 4 | 0 4 4 0 0 2 0 0 2 0 | * * 24 * * x . x3x4x ♦ 96 | 48 0 48 48 48 | 0 24 24 24 0 0 0 16 24 12 | 0 0 0 8 12 6 0 0 0 2 | * * * 8 * . x3x3x4x ♦ 384 | 0 192 192 192 192 | 0 0 0 0 64 96 96 64 96 48 | 0 0 0 0 0 0 16 32 24 8 | * * * * 2 snubbed forms: s2s3s3s4x
xx3xx3xx5xx&#x → height = 1
(gidpith || gidpith)
...
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