| Acronym | rawvo |
| Name | retrosphenary octeract |
| Circumradius | sqrt[5+3 sqrt(2)] = 3.040171 |
| Coordinates | ((1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign |
| General of army | soro |
| Colonel of regiment | soro |
| Face vector | 7168, 50176, 98560, 100352, 62944, 23296, 4432, 288 |
| Confer |
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As abstract polytope rawvo is isomorphic to wavook, thereby replacing octagons by octagrams, resp. tic by quith and socco by gocco, resp. tat by quitit and rawvatoth by wavitoth, resp. tan by quittin and rawn by wavinant, resp. tox by quotox and rawvax by wavaxixog, resp. tasa by quitasa and rawvsa by wovsosaz. – As such rawvo is a lieutenant.
Incidence matrix according to Dynkin symbol
o3o3o3o3o3x3o4/3x4*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*f | 8 | 4 4 | * * 10752 * | 0 0 5 1 | 0 0 10 5 | 0 0 10 10 | 0 0 5 10 | 0 1 5 . . . . . . o4/3x | 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*f ♦ 24 | 24 12 | 8 0 6 0 | * * 8960 * | 0 0 4 1 | 0 0 6 4 | 0 0 4 6 | 0 1 4 . . . . . x3o4/3x4*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*f ♦ 64 | 96 32 | 64 0 24 0 | 16 0 8 0 | * * 4480 * | 0 0 3 1 | 0 0 3 3 | 0 1 3 . . . . o3x3o4/3x4*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*f ♦ 160 | 320 80 | 320 0 80 0 | 160 0 40 0 | 32 0 10 0 | * * 1344 * | 0 0 2 1 | 0 1 2 . . . o3o3x3o4/3x4*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*f ♦ 384 | 960 192 | 1280 0 240 0 | 960 0 160 0 | 384 0 60 0 | 64 0 12 0 | * * 224 * | 0 1 1 . . o3o3o3x3o4/3x4*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*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 * . o3o3o3o3x3o4/3x4*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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