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- general polytopal classes:
- Wythoffian polytera
links
| Acronym | gaquapan |
| Name | great quasiprismated penteract |
| Field of sections |
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| Circumradius | sqrt[51-18 sqrt(2)]/2 = 2.527061 |
| Vertex figure |
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| Coordinates | (3 sqrt(2)-1, 3 sqrt(2)-1, 2 sqrt(2)-1, sqrt(2)-1, 1)/2 & all permutations, all changes of sign |
| Face vector | 1920, 4800, 4240, 1530, 202 |
| Confer |
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External links |
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As abstract polyteron gaquapan is isomorph to gippin, thereby replacing octagrams by octagons, resp. quitco by girco and stop by op, resp. gaquidpoth by gidpith and tistodip by todip.
Incidence matrix according to Dynkin symbol
o3x3x3x4/3x . . . . . | 1920 | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ------------+------+------------------+-----------------------------+----------------------------+------------ . x . . . | 2 | 1920 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 960 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 960 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 960 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ------------+------+------------------+-----------------------------+----------------------------+------------ o3x . . . | 3 | 3 0 0 0 | 640 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . x3x . . | 6 | 3 3 0 0 | * 640 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . x . x . | 4 | 2 0 2 0 | * * 960 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x | 4 | 2 0 0 2 | * * * 960 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 320 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 480 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x4/3x | 8 | 0 0 4 4 | * * * * * * 240 | 0 0 0 0 0 2 1 | 0 0 1 2 ------------+------+------------------+-----------------------------+----------------------------+------------ o3x3x . . ♦ 12 | 12 6 0 0 | 4 4 0 0 0 0 0 | 160 * * * * * * | 1 1 0 0 o3x . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 | * 320 * * * * * | 1 0 1 0 o3x . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 | * * 320 * * * * | 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 0 | 0 4 6 0 4 0 0 | * * * 160 * * * | 1 0 0 1 . x3x . x ♦ 12 | 6 6 0 6 | 0 2 0 3 0 3 0 | * * * * 320 * * | 0 1 0 1 . x . x4/3x ♦ 16 | 8 0 8 8 | 0 0 4 4 0 0 2 | * * * * * 240 * | 0 0 1 1 . . x3x4/3x ♦ 48 | 0 24 24 24 | 0 0 0 0 8 12 6 | * * * * * * 40 | 0 0 0 2 ------------+------+------------------+-----------------------------+----------------------------+------------ o3x3x3x . ♦ 60 | 60 30 30 0 | 20 20 30 0 10 0 0 | 5 10 0 5 0 0 0 | 32 * * * o3x3x . x ♦ 24 | 24 12 0 12 | 8 8 0 12 0 6 0 | 2 0 4 0 4 0 0 | * 80 * * o3x . x4/3x ♦ 24 | 24 0 12 12 | 8 0 12 12 0 0 3 | 0 4 4 0 0 3 0 | * * 80 * . x3x3x4/3x ♦ 384 | 192 192 192 192 | 0 64 96 96 64 96 48 | 0 0 0 16 32 24 8 | * * * 10
o3/2x3x3x4/3x . . . . . | 1920 | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 --------------+------+------------------+-----------------------------+----------------------------+------------ . x . . . | 2 | 1920 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 960 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 960 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 960 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 --------------+------+------------------+-----------------------------+----------------------------+------------ o3/2x . . . | 3 | 3 0 0 0 | 640 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 . x3x . . | 6 | 3 3 0 0 | * 640 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 . x . x . | 4 | 2 0 2 0 | * * 960 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 . x . . x | 4 | 2 0 0 2 | * * * 960 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 320 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 480 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x4/3x | 8 | 0 0 4 4 | * * * * * * 240 | 0 0 0 0 0 2 1 | 0 0 1 2 --------------+------+------------------+-----------------------------+----------------------------+------------ o3/2x3x . . ♦ 12 | 12 6 0 0 | 4 4 0 0 0 0 0 | 160 * * * * * * | 1 1 0 0 o3/2x . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 | * 320 * * * * * | 1 0 1 0 o3/2x . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 | * * 320 * * * * | 0 1 1 0 . x3x3x . ♦ 24 | 12 12 12 0 | 0 4 6 0 4 0 0 | * * * 160 * * * | 1 0 0 1 . x3x . x ♦ 12 | 6 6 0 6 | 0 2 0 3 0 3 0 | * * * * 320 * * | 0 1 0 1 . x . x4/3x ♦ 16 | 8 0 8 8 | 0 0 4 4 0 0 2 | * * * * * 240 * | 0 0 1 1 . . x3x4/3x ♦ 48 | 0 24 24 24 | 0 0 0 0 8 12 6 | * * * * * * 40 | 0 0 0 2 --------------+------+------------------+-----------------------------+----------------------------+------------ o3/2x3x3x . ♦ 60 | 60 30 30 0 | 20 20 30 0 10 0 0 | 5 10 0 5 0 0 0 | 32 * * * o3/2x3x . x ♦ 24 | 24 12 0 12 | 8 8 0 12 0 6 0 | 2 0 4 0 4 0 0 | * 80 * * o3/2x . x4/3x ♦ 24 | 24 0 12 12 | 8 0 12 12 0 0 3 | 0 4 4 0 0 3 0 | * * 80 * . x3x3x4/3x ♦ 384 | 192 192 192 192 | 0 64 96 96 64 96 48 | 0 0 0 16 32 24 8 | * * * 10
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