| Acronym | wavook | ||||||||||||||||||
| Name | sphenoverted octeracti-octeracti-diacosipentacontahexazetton | ||||||||||||||||||
| Circumradius | sqrt[5-3 sqrt(2)] = 0.870264 | ||||||||||||||||||
| Coordinates | ((sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2, 1/2) & all permutations, all changes of sign | ||||||||||||||||||
| Colonel of regiment |
(is itself locally convex
– other uniform polyteral members:
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| Face vector | 7168, 50176, 98560, 100352, 62944, 23296, 4432, 288 | ||||||||||||||||||
| Confer |
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As abstract polytope wavook is isomorphic to rawvo, thereby replacing octagrams by octagons, resp. quith by tic and gocco by socco, resp. quitit by tat and wavitoth by rawvatoth, resp. quittin by tan and wavinant by rawn, resp. quotox by tox and wavaxixog by rawvax, resp. quitasa by tasa and wovsosaz by rawvsa.
Incidence matrix according to Dynkin symbol
o3o3o3o3o3x3o4x4/3*f . . . . . . . . | 7168 | 12 2 | 30 6 12 1 | 40 15 30 6 | 30 20 40 15 | 12 15 30 20 | 2 6 12 15 | 1 2 6 ---------------------+------+------------+------------------------+-----------------------+-----------------------+---------------------+-------------------+---------- . . . . . x . . | 2 | 43008 * | 5 1 1 0 | 10 5 5 1 | 10 10 10 5 | 5 10 10 10 | 1 5 5 10 | 1 1 5 . . . . . . . x | 2 | * 7168 | 0 0 6 1 | 0 0 15 6 | 0 0 20 15 | 0 0 15 20 | 0 0 6 15 | 0 1 6 ---------------------+------+------------+------------------------+-----------------------+-----------------------+---------------------+-------------------+---------- . . . . o3x . . | 3 | 3 0 | 71680 * * * | 4 1 1 0 | 6 4 4 1 | 4 6 6 4 | 1 4 4 6 | 1 1 4 . . . . . x3o . | 3 | 3 0 | * 14336 * * | 0 5 0 1 | 0 10 0 5 | 0 10 0 10 | 0 5 0 10 | 1 0 5 . . . . . x . x4/3*f | 8 | 4 4 | * * 10752 * | 0 0 5 1 | 0 0 10 5 | 0 0 10 10 | 0 0 5 10 | 0 1 5 . . . . . . o4x | 4 | 0 4 | * * * 1792 ♦ 0 0 0 6 | 0 0 0 15 | 0 0 0 20 | 0 0 0 15 | 0 0 6 ---------------------+------+------------+------------------------+-----------------------+-----------------------+---------------------+-------------------+---------- . . . o3o3x . . ♦ 4 | 6 0 | 4 0 0 0 | 71680 * * * | 3 1 1 0 | 3 3 3 1 | 1 3 3 3 | 1 1 3 . . . . o3x3o . ♦ 6 | 12 0 | 4 4 0 0 | * 17920 * * | 0 4 0 1 | 0 6 0 4 | 0 4 0 6 | 1 0 4 . . . . o3x . x4/3*f ♦ 24 | 24 12 | 8 0 6 0 | * * 8960 * | 0 0 4 1 | 0 0 6 4 | 0 0 4 6 | 0 1 4 . . . . . x3o4x4/3*f ♦ 24 | 24 24 | 0 8 6 6 | * * * 1792 ♦ 0 0 0 5 | 0 0 0 10 | 0 0 0 10 | 0 0 5 ---------------------+------+------------+------------------------+-----------------------+-----------------------+---------------------+-------------------+---------- . . o3o3o3x . . ♦ 5 | 10 0 | 10 0 0 0 | 5 0 0 0 | 43008 * * * | 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . o3o3x3o . ♦ 10 | 30 0 | 20 10 0 0 | 5 5 0 0 | * 14336 * * | 0 3 0 1 | 0 3 0 3 | 1 0 3 . . . o3o3x . x4/3*f ♦ 64 | 96 32 | 64 0 24 0 | 16 0 8 0 | * * 4480 * | 0 0 3 1 | 0 0 3 3 | 0 1 3 . . . . o3x3o4x4/3*f ♦ 96 | 192 96 | 64 64 48 24 | 0 16 8 8 | * * * 1120 ♦ 0 0 0 4 | 0 0 0 6 | 0 0 4 ---------------------+------+------------+------------------------+-----------------------+-----------------------+---------------------+-------------------+---------- . o3o3o3o3x . . ♦ 6 | 15 0 | 20 0 0 0 | 15 0 0 0 | 6 0 0 0 | 14336 * * * | 1 1 1 0 | 1 1 1 . . o3o3o3x3o . ♦ 15 | 60 0 | 60 20 0 0 | 30 15 0 0 | 6 6 0 0 | * 7168 * * | 0 2 0 1 | 1 0 2 . . o3o3o3x . x4/3*f ♦ 160 | 320 80 | 320 0 80 0 | 160 0 40 0 | 32 0 10 0 | * * 1344 * | 0 0 2 1 | 0 1 2 . . . o3o3x3o4x4/3*f ♦ 320 | 960 320 | 640 320 240 80 | 160 160 80 40 | 0 32 10 10 | * * * 448 | 0 0 0 3 | 0 0 3 ---------------------+------+------------+------------------------+-----------------------+-----------------------+---------------------+-------------------+---------- o3o3o3o3o3x . . ♦ 7 | 21 0 | 35 0 0 0 | 35 0 0 0 | 21 0 0 0 | 7 0 0 0 | 2048 * * * | 1 1 0 . o3o3o3o3x3o . ♦ 21 | 105 0 | 140 35 0 0 | 105 35 0 0 | 42 21 0 0 | 7 7 0 0 | * 2048 * * | 1 0 1 . o3o3o3o3x . x4/3*f ♦ 384 | 960 192 | 1280 0 240 0 | 960 0 160 0 | 384 0 60 0 | 64 0 12 0 | * * 224 * | 0 1 1 . . o3o3o3x3o4x4/3*f ♦ 960 | 3840 960 | 3840 1280 960 240 | 1920 960 480 160 | 384 384 120 60 | 0 64 12 12 | * * * 112 | 0 0 2 ---------------------+------+------------+------------------------+-----------------------+-----------------------+---------------------+-------------------+---------- o3o3o3o3o3x3o . ♦ 28 | 168 0 | 280 56 0 0 | 280 70 0 0 | 168 56 0 0 | 56 28 0 0 | 8 8 0 0 | 256 * * o3o3o3o3o3x . x4/3*f ♦ 896 | 2688 448 | 4480 0 672 0 | 4480 0 560 0 | 2688 0 280 0 | 896 0 84 0 | 128 0 14 0 | * 16 * . o3o3o3o3x3o4x4/3*f ♦ 2688 | 13440 2688 | 17920 4480 3360 672 | 13440 4480 2240 560 | 5376 2688 840 280 | 896 896 168 84 | 0 128 14 14 | * * 16
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