Acronym | ten |
Name | truncated enneract |
Circumradius | sqrt[25+16 sqrt(2)]/2 = 3.450631 |
Inradius wrt. ene | (9+8 sqrt(2))/6 = 3.385618 |
Inradius wrt. tocto | [1+sqrt(2)]/2 = 1.207107 |
Dihedral angles
(at margins) | |
Face vector | 4608, 20736, 47616, 69888, 68544, 45024, 19104, 4752, 530 |
Confer |
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As abstract polytope ten is isomorphic to quiten, replacing thereby octagons by octagrams, resp. tic by quith, resp. tat by quitit, resp. tan by quittin, resp. tox by quotox, resp. tasa by quitasa, resp. tocto by queto.
Incidence matrix according to Dynkin symbol
o3o3o3o3o3o3o3x4x . . . . . . . . . | 4608 | 8 1 | 28 8 | 56 28 | 70 56 | 56 70 | 28 56 | 8 28 | 1 8 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- . . . . . . . x . | 2 | 18432 * | 7 1 | 21 7 | 35 21 | 35 35 | 21 35 | 7 21 | 1 7 . . . . . . . . x | 2 | * 2304 ♦ 0 8 | 0 28 | 0 56 | 0 70 | 0 56 | 0 28 | 0 8 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- . . . . . . o3x . | 3 | 3 0 | 43008 * | 6 1 | 15 6 | 20 15 | 15 20 | 6 15 | 1 6 . . . . . . . x4x | 8 | 4 4 | * 4608 ♦ 0 7 | 0 21 | 0 35 | 0 35 | 0 21 | 0 7 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- . . . . . o3o3x . ♦ 4 | 6 0 | 4 0 | 64512 * | 5 1 | 10 5 | 10 10 | 5 10 | 1 5 . . . . . . o3x4x ♦ 24 | 24 12 | 8 6 | * 5376 ♦ 0 6 | 0 15 | 0 20 | 0 15 | 0 6 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- . . . . o3o3o3x . ♦ 5 | 10 0 | 10 0 | 5 0 | 64512 * | 4 1 | 6 4 | 4 6 | 1 4 . . . . . o3o3x4x ♦ 64 | 96 32 | 64 24 | 16 8 | * 4032 ♦ 0 5 | 0 10 | 0 10 | 0 5 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- . . . o3o3o3o3x . ♦ 6 | 15 0 | 20 0 | 15 0 | 6 0 | 43008 * | 3 1 | 3 3 | 1 3 . . . . o3o3o3x4x ♦ 160 | 320 80 | 320 80 | 160 40 | 32 10 | * 2016 ♦ 0 4 | 0 6 | 0 4 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- . . o3o3o3o3o3x . ♦ 7 | 21 0 | 35 0 | 35 0 | 21 0 | 7 0 | 18432 * | 2 1 | 1 2 . . . o3o3o3o3x4x ♦ 384 | 960 192 | 1280 240 | 960 160 | 384 60 | 64 12 | * 672 | 0 3 | 0 3 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- . o3o3o3o3o3o3x . ♦ 8 | 28 0 | 56 0 | 70 0 | 56 0 | 28 0 | 8 0 | 4608 * | 1 1 . . o3o3o3o3o3x4x ♦ 896 | 2688 448 | 4480 672 | 4480 560 | 2688 280 | 896 84 | 128 14 | * 144 | 0 2 ------------------+------+------------+------------+------------+------------+------------+-----------+----------+------- o3o3o3o3o3o3o3x . ♦ 9 | 36 0 | 84 0 | 126 0 | 126 0 | 84 0 | 36 0 | 9 0 | 512 * . o3o3o3o3o3o3x4x ♦ 2048 | 7168 1024 | 14336 1792 | 17920 1792 | 14336 1120 | 7168 448 | 2048 112 | 256 16 | * 18
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