| Acronym | gaqrox |
| Name | great quasirhombihexeract |
| Circumradius | sqrt[(20-9 sqrt(2))/2] = 1.906840 |
| Coordinates | ((2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2) & all permutations, all changes of sign |
| Face vector | 1920, 5760, 7280, 4960, 1788, 268 |
| Confer |
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As abstract polyteron gaqrox is isomorph to grox, thereby replacing octagrams by octagons, resp. quitco by girco, resp. gaqrit by grit, resp. gaqrin by girn.
Incidence matrix according to Dynkin symbol
o3o3o3x3x4/3x . . . . . . | 1920 | 4 1 1 | 6 4 4 1 | 4 6 6 4 | 1 4 4 6 | 1 1 4 --------------+------+--------------+--------------------+-------------------+----------------+---------- . . . x . . | 2 | 3840 * * | 3 1 1 0 | 3 3 3 1 | 1 3 3 3 | 1 1 3 . . . . x . | 2 | * 960 * | 0 4 0 1 | 0 6 0 4 | 0 4 0 6 | 1 0 4 . . . . . x | 2 | * * 960 | 0 0 4 1 | 0 0 6 4 | 0 0 4 6 | 0 1 4 --------------+------+--------------+--------------------+-------------------+----------------+---------- . . o3x . . | 3 | 3 0 0 | 3840 * * * | 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . x3x . | 6 | 3 3 0 | * 1280 * * | 0 3 0 1 | 0 3 0 3 | 1 0 3 . . . x . x | 4 | 2 0 2 | * * 1920 * | 0 0 3 1 | 0 0 3 3 | 0 1 3 . . . . x4/3x | 8 | 0 4 4 | * * * 240 ♦ 0 0 0 4 | 0 0 0 6 | 0 0 4 --------------+------+--------------+--------------------+-------------------+----------------+---------- . o3o3x . . ♦ 4 | 6 0 0 | 4 0 0 0 | 1920 * * * | 1 1 1 0 | 1 1 1 . . o3x3x . ♦ 12 | 12 6 0 | 4 4 0 0 | * 960 * * | 0 2 0 1 | 1 0 2 . . o3x . x ♦ 6 | 6 0 3 | 2 0 3 0 | * * 1920 * | 0 0 2 1 | 0 1 2 . . . x3x4/3x ♦ 48 | 24 24 24 | 0 8 12 6 | * * * 160 | 0 0 0 3 | 0 0 3 --------------+------+--------------+--------------------+-------------------+----------------+---------- o3o3o3x . . ♦ 5 | 10 0 0 | 10 0 0 0 | 5 0 0 0 | 384 * * * | 1 1 0 . o3o3x3x . ♦ 20 | 30 10 0 | 20 10 0 0 | 5 5 0 0 | * 384 * * | 1 0 1 . o3o3x . x ♦ 8 | 12 0 4 | 8 0 6 0 | 2 0 4 0 | * * 960 * | 0 1 1 . . o3x3x4/3x ♦ 192 | 192 96 96 | 64 64 96 24 | 0 16 32 8 | * * * 60 | 0 0 2 --------------+------+--------------+--------------------+-------------------+----------------+---------- o3o3o3x3x . ♦ 30 | 60 15 0 | 60 20 0 0 | 30 15 0 0 | 6 6 0 0 | 64 * * o3o3o3x . x ♦ 10 | 20 0 5 | 20 0 10 0 | 10 0 10 0 | 2 0 5 0 | * 192 * . o3o3x3x4/3x ♦ 640 | 960 320 320 | 640 320 480 80 | 160 160 320 40 | 0 32 80 10 | * * 12
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