Acronym | tethin |
Name |
tetrahedron - hemipenteract duoprism, vertex figure of trigoh |
Circumradius | 1 |
Volume | 13/720 = 0.018056 |
Face vector | 64, 416, 1184, 1776, 1544, 800, 230, 30 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o3o x3o3o *e3o3o . . . . . . . . | 64 | 3 10 | 3 30 30 | 1 30 90 10 20 | 10 90 30 60 5 5 | 30 30 60 15 15 1 | 10 20 15 15 3 | 5 5 3 -------------------+----+--------+------------+--------------------+----------------------+---------------------+---------------+-------- x . . . . . . . | 2 | 96 * | 2 10 0 | 1 20 30 0 0 | 10 60 10 20 0 0 | 30 20 40 5 5 0 | 10 20 10 10 1 | 5 5 2 . . . x . . . . | 2 | * 320 | 0 3 6 | 0 3 18 3 6 | 1 18 9 18 3 2 | 6 9 18 9 6 1 | 3 6 9 6 3 | 3 2 3 -------------------+----+--------+------------+--------------------+----------------------+---------------------+---------------+-------- x3o . . . . . . | 3 | 3 0 | 64 * * | 1 10 0 0 0 | 10 30 0 0 0 0 | 30 10 20 0 0 0 | 10 20 5 5 0 | 5 5 1 x . . x . . . . | 4 | 2 2 | * 480 * | 0 2 6 0 0 | 1 12 3 6 0 0 | 6 6 12 3 2 0 | 3 6 6 4 1 | 4 2 2 . . . x3o . . . | 3 | 0 3 | * * 640 | 0 0 3 1 2 | 0 3 3 6 2 1 | 1 3 6 6 3 1 | 1 2 6 3 3 | 2 1 3 -------------------+----+--------+------------+--------------------+----------------------+---------------------+---------------+-------- x3o3o . . . . . ♦ 4 | 6 0 | 4 0 0 | 16 * * * * ♦ 10 0 0 0 0 0 | 30 0 0 0 0 0 | 10 20 0 0 0 | 5 5 0 x3o . x . . . . ♦ 6 | 6 3 | 2 3 0 | * 320 * * * | 1 6 0 0 0 0 | 6 3 6 0 0 0 | 3 6 3 2 0 | 3 2 1 x . . x3o . . . ♦ 6 | 3 6 | 0 3 2 | * * 960 * * | 0 2 1 2 0 0 | 1 2 4 2 1 0 | 1 2 4 2 1 | 2 1 2 . . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 160 * | 0 0 3 0 2 0 | 0 3 0 6 0 1 | 1 0 6 0 3 | 2 0 3 . . . x3o . *e3o . ♦ 4 | 0 6 | 0 0 4 | * * * * 320 | 0 0 0 3 1 1 | 0 0 3 3 3 1 | 0 1 3 3 3 | 1 1 3 -------------------+----+--------+------------+--------------------+----------------------+---------------------+---------------+-------- x3o3o x . . . . ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 0 | 80 * * * * * ♦ 6 0 0 0 0 0 | 3 6 0 0 0 | 3 2 0 x3o . x3o . . . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 0 | * 640 * * * * | 1 1 2 0 0 0 | 1 2 2 1 0 | 2 1 1 x . . x3o3o . . ♦ 8 | 4 12 | 0 6 8 | 0 0 4 2 0 | * * 240 * * * | 0 2 0 2 0 0 | 1 0 4 0 1 | 2 0 2 x . . x3o . *e3o . ♦ 8 | 4 12 | 0 6 8 | 0 0 4 0 2 | * * * 480 * * | 0 0 2 1 1 0 | 0 1 2 2 1 | 1 1 2 . . . x3o3o *e3o . ♦ 8 | 0 24 | 0 0 32 | 0 0 0 8 8 | * * * * 40 * | 0 0 0 3 0 1 | 0 0 3 0 3 | 1 0 3 . . . x3o . *e3o3o ♦ 5 | 0 10 | 0 0 10 | 0 0 0 0 5 | * * * * * 64 | 0 0 0 0 3 1 | 0 0 0 3 3 | 0 1 3 -------------------+----+--------+------------+--------------------+----------------------+---------------------+---------------+-------- x3o3o x3o . . . ♦ 12 | 18 12 | 12 18 4 | 3 12 6 0 0 | 3 4 0 0 0 0 | 160 * * * * * | 1 2 0 0 0 | 2 1 0 x3o . x3o3o . . ♦ 12 | 12 18 | 4 18 12 | 0 6 12 3 0 | 0 4 3 0 0 0 | * 160 * * * * | 1 0 2 0 0 | 2 0 1 x3o . x3o . *e3o . ♦ 12 | 12 18 | 4 18 12 | 0 6 12 0 3 | 0 4 0 3 0 0 | * * 320 * * * | 0 1 1 1 0 | 1 1 1 x . . x3o3o *e3o . ♦ 16 | 8 48 | 0 24 64 | 0 0 32 16 16 | 0 0 8 8 2 0 | * * * 60 * * | 0 0 2 0 1 | 1 0 2 x . . x3o . *e3o3o ♦ 10 | 5 20 | 0 10 20 | 0 0 10 0 10 | 0 0 0 5 0 2 | * * * * 96 * | 0 0 0 2 1 | 0 1 2 . . . x3o3o *e3o3o ♦ 16 | 0 80 | 0 0 160 | 0 0 0 40 80 | 0 0 0 0 10 16 | * * * * * 4 | 0 0 0 0 3 | 0 0 3 -------------------+----+--------+------------+--------------------+----------------------+---------------------+---------------+-------- x3o3o x3o3o . . ♦ 16 | 24 24 | 16 36 16 | 4 24 24 4 0 | 6 16 6 0 0 0 | 4 4 0 0 0 0 | 40 * * * * | 2 0 0 x3o3o x3o . *e3o . ♦ 16 | 24 24 | 16 36 16 | 4 24 24 0 4 | 6 16 0 6 0 0 | 4 0 4 0 0 0 | * 80 * * * | 1 1 0 x3o . x3o3o *e3o . ♦ 24 | 24 72 | 8 72 96 | 0 24 96 24 24 | 0 32 24 24 3 0 | 0 8 8 3 0 0 | * * 40 * * | 1 0 1 x3o . x3o . *e3o3o ♦ 15 | 15 30 | 5 30 30 | 0 10 30 0 15 | 0 10 0 15 0 3 | 0 0 5 0 3 0 | * * * 64 * | 0 1 1 x . . x3o3o *e3o3o ♦ 32 | 16 160 | 0 80 320 | 0 0 160 80 160 | 0 0 40 80 20 32 | 0 0 0 10 16 2 | * * * * 6 | 0 0 2 -------------------+----+--------+------------+--------------------+----------------------+---------------------+---------------+-------- x3o3o x3o3o *e3o . ♦ 32 | 48 96 | 32 192 128 | 8 96 192 32 32 | 24 128 48 48 4 0 | 32 32 32 6 0 0 | 8 8 4 0 0 | 10 * * x3o3o x3o . *e3o3o ♦ 20 | 30 40 | 20 60 40 | 5 40 60 0 20 | 10 40 0 30 0 4 | 10 0 20 0 6 0 | 0 5 0 4 0 | * 16 * x3o . x3o3o *e3o3o ♦ 48 | 48 240 | 16 240 480 | 0 80 480 120 240 | 0 160 120 240 30 48 | 0 40 80 30 48 3 | 0 0 10 16 3 | * * 4
ox3oo xx3oo3oo *d3oo3oo&#x → height = sqrt(2/3) = 0.816497
(hin || trahin)
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