Acronym | goxaxogip |
Name | goxaxog prism |
Circumradius | sqrt[9-2 sqrt(2)]/2 = 1.242133 |
Face vector | 768, 4224, 6880, 5680, 2728, 740, 90 |
Confer |
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As abstract polytope goxaxogip is isomorphic to soxaxogip, thereby replacing octagrams by octagons, resp. stop by op and gocco by socco, resp. goccope by soccope and gittith by steth, resp. gittithip by stethip and ginnont by sinnont, resp. ginnontip by sinnontip and goxaxog by soxaxog.
Incidence matrix according to Dynkin symbol
x o3o3o3o3x4/3x4*e . . . . . . . | 768 | 1 5 5 | 5 5 10 10 5 | 10 10 5 10 10 10 | 10 10 10 5 5 10 | 5 5 10 1 1 5 | 1 1 5 1 -------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+----------- x . . . . . . | 2 | 384 * * | 5 5 0 0 0 | 10 10 5 0 0 0 | 10 10 10 0 0 0 | 5 5 10 0 0 0 | 1 1 5 0 . . . . . x . | 2 | * 1920 * | 1 0 4 0 4 | 4 0 1 6 0 4 | 6 0 4 4 0 6 | 4 0 6 1 0 4 | 1 0 4 1 . . . . . . x | 2 | * * 1920 | 0 1 0 4 4 | 0 4 1 0 6 4 | 0 6 4 0 4 6 | 0 4 6 0 1 4 | 0 1 4 1 -------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+----------- x . . . . x . | 4 | 2 2 0 | 960 * * * * | 4 0 1 0 0 0 | 6 0 4 0 0 0 | 4 0 6 0 0 0 | 1 0 4 0 x . . . . . x | 4 | 2 0 2 | * 960 * * * | 0 4 1 0 0 0 | 0 6 4 0 0 0 | 0 4 6 0 0 0 | 0 1 4 0 . . . . o3x . | 3 | 0 3 0 | * * 2560 * * | 1 0 0 3 0 1 | 3 0 1 3 0 3 | 3 0 3 1 0 3 | 1 0 3 1 . . . . o . x4*e | 4 | 0 0 4 | * * * 1920 * | 0 1 0 0 3 1 | 0 3 1 0 3 3 | 0 3 3 0 1 3 | 0 1 3 1 . . . . . x4/3x | 8 | 0 4 4 | * * * * 480 | 0 0 1 0 0 4 | 0 0 4 0 0 6 | 0 0 6 0 0 4 | 0 0 4 1 -------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+----------- x . . . o3x . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 1280 * * * * * | 3 0 1 0 0 0 | 3 0 3 0 0 0 | 1 0 3 0 x . . . o . x4*e ♦ 8 | 4 0 8 | 0 4 0 2 0 | * 960 * * * * | 0 3 1 0 0 0 | 0 3 3 0 0 0 | 0 1 3 0 x . . . . x4/3x ♦ 16 | 8 8 8 | 4 4 0 0 2 | * * 240 * * * ♦ 0 0 4 0 0 0 | 0 0 6 0 0 0 | 0 0 4 0 . . . o3o3x . ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 1920 * * | 1 0 0 2 0 1 | 2 0 1 1 0 2 | 1 0 2 1 . . . o3o . x4*e ♦ 8 | 0 0 12 | 0 0 0 6 0 | * * * * 960 * | 0 1 0 0 2 1 | 0 2 1 0 1 2 | 0 1 2 1 . . . . o3x4/3x4*e ♦ 24 | 0 24 24 | 0 0 8 6 6 | * * * * * 320 | 0 0 1 0 0 3 | 0 0 3 0 0 3 | 0 0 3 1 -------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+----------- x . . o3o3x . ♦ 8 | 4 12 0 | 6 0 8 0 0 | 4 0 0 2 0 0 | 960 * * * * * | 2 0 1 0 0 0 | 1 0 2 0 x . . o3o . x4*e ♦ 16 | 8 0 24 | 0 12 0 12 0 | 0 6 0 0 2 0 | * 480 * * * * | 0 2 1 0 0 0 | 0 1 2 0 x . . . o3x4/3x4*e ♦ 48 | 24 48 48 | 24 24 16 12 12 | 8 6 6 0 0 2 | * * 160 * * * | 0 0 3 0 0 0 | 0 0 3 0 . . o3o3o3x . ♦ 5 | 0 10 0 | 0 0 10 0 0 | 0 0 0 5 0 0 | * * * 768 * * | 1 0 0 1 0 1 | 1 0 1 1 . . o3o3o . x4*e ♦ 16 | 0 0 32 | 0 0 0 24 0 | 0 0 0 0 8 0 | * * * * 240 * | 0 1 0 0 1 1 | 0 1 1 1 . . . o3o3x4/3x4*e ♦ 64 | 0 96 96 | 0 0 64 48 24 | 0 0 0 16 8 8 | * * * * * 120 | 0 0 1 0 0 2 | 0 0 2 1 -------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+----------- x . o3o3o3x . ♦ 10 | 5 20 0 | 10 0 20 0 0 | 10 0 0 10 0 0 | 5 0 0 2 0 0 | 384 * * * * * | 1 0 1 0 x . o3o3o . x4*e ♦ 32 | 16 0 64 | 0 32 0 48 0 | 0 24 0 0 16 0 | 0 8 0 0 2 0 | * 120 * * * * | 0 1 1 0 x . . o3o3x4/3x4*e ♦ 128 | 64 192 192 | 96 96 128 96 48 | 64 48 24 32 16 16 | 16 8 8 0 0 2 | * * 60 * * * | 0 0 2 0 . o3o3o3o3x . ♦ 6 | 0 15 0 | 0 0 20 0 0 | 0 0 0 15 0 0 | 0 0 0 6 0 0 | * * * 128 * * | 1 0 0 1 . o3o3o3o . x4*e ♦ 32 | 0 0 80 | 0 0 0 80 0 | 0 0 0 0 40 0 | 0 0 0 0 10 0 | * * * * 24 * | 0 1 0 1 . . o3o3o3x4/3x4*e ♦ 160 | 0 320 320 | 0 0 320 240 80 | 0 0 0 160 80 40 | 0 0 0 32 10 10 | * * * * * 24 | 0 0 1 1 -------------------+-----+---------------+-----------------------+---------------------------+-------------------------+----------------------+----------- x o3o3o3o3x . ♦ 12 | 6 30 0 | 15 0 40 0 0 | 20 0 0 30 0 0 | 15 0 0 12 0 0 | 6 0 0 2 0 0 | 64 * * * x o3o3o3o . x4*e ♦ 64 | 32 0 160 | 0 80 0 160 0 | 0 80 0 0 80 0 | 0 40 0 0 20 0 | 0 10 0 0 2 0 | * 12 * * x . o3o3o3x4/3x4*e ♦ 320 | 160 640 640 | 320 320 640 480 160 | 320 240 80 320 160 80 | 160 80 40 64 20 20 | 32 10 10 0 0 2 | * * 12 * . o3o3o3o3x4/3x4*e ♦ 384 | 0 960 960 | 0 0 1280 960 240 | 0 0 0 960 480 160 | 0 0 0 384 120 60 | 0 0 0 64 12 12 | * * * 2
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