Acronym | tratac |
Name |
triangle - triacontiditeron duoprism, vertex figure of bark |
Circumradius | sqrt(4/3) = 1.154701 |
Volume | sqrt(6)/120 = 0.020412 |
Face vector | 30, 150, 370, 520, 416, 179, 35 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3o x3o3o3o4o . . . . . . . | 30 | 2 8 | 1 16 24 | 8 48 32 | 24 64 16 | 32 16 1 | 16 2 --------------+----+--------+------------+------------+-----------+---------+----- x . . . . . . | 2 | 30 * | 1 8 0 | 8 24 0 | 24 32 0 | 32 16 0 | 16 1 . . x . . . . | 2 | * 120 | 0 2 6 | 1 12 12 | 6 24 8 | 12 16 1 | 8 2 --------------+----+--------+------------+------------+-----------+---------+----- x3o . . . . . | 3 | 3 0 | 10 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0 x . x . . . . | 4 | 2 2 | * 120 * | 1 6 0 | 6 12 0 | 12 8 0 | 8 1 . . x3o . . . | 3 | 0 3 | * * 240 | 0 2 4 | 1 8 4 | 4 8 1 | 4 2 --------------+----+--------+------------+------------+-----------+---------+----- x3o x . . . . ♦ 6 | 6 3 | 2 3 0 | 40 * * ♦ 6 0 0 | 12 0 0 | 8 0 x . x3o . . . ♦ 6 | 3 6 | 0 3 2 | * 240 * | 1 4 0 | 4 4 0 | 4 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * 240 | 0 2 2 | 1 4 1 | 2 2 --------------+----+--------+------------+------------+-----------+---------+----- x3o x3o . . . ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 80 * * | 4 0 0 | 4 0 x . x3o3o . . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 240 * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 96 | 0 2 1 | 1 2 --------------+----+--------+------------+------------+-----------+---------+----- x3o x3o3o . . ♦ 12 | 12 18 | 4 18 12 | 6 12 3 | 4 3 0 | 80 * * | 2 0 x . x3o3o3o . ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 | * 96 * | 1 1 . . x3o3o3o4o ♦ 10 | 0 40 | 0 0 80 | 0 0 80 | 0 0 32 | * * 3 | 0 2 --------------+----+--------+------------+------------+-----------+---------+----- x3o x3o3o3o . ♦ 15 | 15 30 | 5 30 30 | 10 30 15 | 10 15 3 | 5 3 0 | 32 * x . x3o3o3o4o ♦ 20 | 10 80 | 0 40 160 | 0 80 160 | 0 80 64 | 0 32 2 | * 3
x3o o3o3o *d3o3x . . . . . . . | 30 | 2 8 | 1 16 24 | 8 48 32 | 24 64 8 8 | 32 8 8 1 | 8 8 2 -----------------+----+--------+------------+------------+--------------+------------+-------- x . . . . . . | 2 | 30 * | 1 8 0 | 8 24 0 | 24 32 0 0 | 32 8 8 0 | 8 8 1 . . . . . . x | 2 | * 120 | 0 2 6 | 1 12 12 | 6 24 4 4 | 12 8 8 1 | 4 4 2 -----------------+----+--------+------------+------------+--------------+------------+-------- x3o . . . . . | 3 | 3 0 | 10 * * ♦ 8 0 0 | 24 0 0 0 | 32 0 0 0 | 8 8 0 x . . . . . x | 4 | 2 2 | * 120 * | 1 6 0 | 6 12 0 0 | 12 4 4 0 | 4 4 1 . . . . . o3x | 3 | 0 3 | * * 240 | 0 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2 -----------------+----+--------+------------+------------+--------------+------------+-------- x3o . . . . x ♦ 6 | 6 3 | 2 3 0 | 40 * * ♦ 6 0 0 0 | 12 0 0 0 | 4 4 0 x . . . . o3x ♦ 6 | 3 6 | 0 3 2 | * 240 * | 1 4 0 0 | 4 2 2 0 | 2 2 1 . . . o . *d3o3x ♦ 4 | 0 6 | 0 0 4 | * * 240 | 0 2 1 1 | 1 2 2 1 | 1 1 2 -----------------+----+--------+------------+------------+--------------+------------+-------- x3o . . . o3x ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 80 * * * | 4 0 0 0 | 2 2 0 x . . o . *d3o3x ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 240 * * | 1 1 1 0 | 1 1 1 . . o3o . *d3o3x ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 48 * | 0 2 0 1 | 1 0 2 . . . o3o *d3o3x ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * * 48 | 0 0 2 1 | 0 1 2 -----------------+----+--------+------------+------------+--------------+------------+-------- x3o . o . *d3o3x ♦ 12 | 12 18 | 4 18 12 | 6 12 3 | 4 3 0 0 | 80 * * * | 1 1 0 x . o3o . *d3o3x ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 0 | * 48 * * | 1 0 1 x . o3o *d3o3x ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 0 2 | * * 48 * | 0 1 1 . . o3o3o *d3o3x ♦ 10 | 0 40 | 0 0 80 | 0 0 80 | 0 0 16 16 | * * * 3 | 0 0 2 -----------------+----+--------+------------+------------+--------------+------------+-------- x3o o3o . *d3o3x ♦ 15 | 15 30 | 5 30 30 | 10 30 15 | 10 15 3 0 | 5 3 0 0 | 16 * * x3o o3o *d3o3x ♦ 15 | 15 30 | 5 30 30 | 10 30 15 | 10 15 0 3 | 5 0 3 0 | * 16 * x . o3o3o *d3o3x ♦ 20 | 10 80 | 0 40 160 | 0 80 160 | 0 80 32 32 | 0 16 16 2 | * * 3
ox xx3oo3oo3oo4oo&#x → height = sqrt(3)/2 = 0.866025
(tac || taccup)
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