Acronym | trarit |
Name | triangle - rectified-tesseract duoprism |
Circumradius | sqrt(11/6) = 1.354006 |
Volume | 23 sqrt(3)/24 = 1.659882 |
Face vector | 96, 384, 584, 432, 163, 27 |
Confer |
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Incidence matrix according to Dynkin symbol
x3o o3o3x4o . . . . . . | 96 | 2 6 | 1 12 6 3 | 6 12 6 2 3 | 6 3 4 6 1 | 2 3 2 ------------+----+--------+---------------+-----------------+---------------+------- x . . . . . | 2 | 96 * | 1 6 0 0 | 6 6 3 0 0 | 6 3 2 3 0 | 2 3 1 . . . . x . | 2 | * 288 | 0 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o . . . . | 3 | 3 0 | 32 * * * ♦ 6 0 0 0 0 | 6 3 0 0 0 | 2 3 0 x . . . x . | 4 | 2 2 | * 288 * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . . o3x . | 3 | 0 3 | * * 192 * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . . x4o | 4 | 0 4 | * * * 72 | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o . . x . ♦ 6 | 6 3 | 2 3 0 0 | 96 * * * * | 2 1 0 0 0 | 1 2 0 x . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * 192 * * * | 1 0 1 1 0 | 1 1 1 x . . . x4o ♦ 8 | 4 8 | 0 4 0 2 | * * 72 * * | 0 1 0 2 0 | 0 2 1 . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * 48 * | 0 0 2 0 1 | 1 0 2 . . . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * * * 24 | 0 0 0 2 1 | 0 1 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 3 3 0 0 0 | 64 * * * * | 1 1 0 x3o . . x4o ♦ 12 | 12 12 | 4 12 0 3 | 4 0 3 0 0 | * 24 * * * | 0 2 0 x . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 4 0 2 0 | * * 48 * * | 1 0 1 x . . o3x4o ♦ 24 | 12 48 | 0 24 16 12 | 0 8 6 0 2 | * * * 24 * | 0 1 1 . . o3o3x4o ♦ 32 | 0 96 | 0 0 64 24 | 0 0 0 16 8 | * * * * 3 | 0 0 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o o3o3x . ♦ 12 | 12 18 | 4 18 12 0 | 6 12 0 3 0 | 4 0 3 0 0 | 16 * * x3o . o3x4o ♦ 36 | 36 72 | 12 72 24 18 | 24 24 18 0 3 | 8 6 0 3 0 | * 8 * x . o3o3x4o ♦ 64 | 32 192 | 0 96 128 48 | 0 64 24 32 16 | 0 0 16 8 2 | * * 3
x3o x3o3x *d3o . . . . . . | 96 | 2 3 3 | 1 6 6 3 3 3 | 3 3 6 6 6 3 1 1 | 3 3 3 6 2 2 1 | 3 1 1 2 ---------------+----+------------+---------------------+-------------------------+---------------------+-------- x . . . . . | 2 | 96 * * | 1 3 3 0 0 0 | 3 3 3 3 3 0 0 0 | 3 3 3 3 1 1 0 | 3 1 1 1 . . x . . . | 2 | * 144 * | 0 2 0 2 1 0 | 1 0 4 2 0 2 1 0 | 2 1 0 4 2 0 1 | 2 1 0 2 . . . . x . | 2 | * * 144 | 0 0 2 0 1 2 | 0 1 0 2 4 2 0 1 | 0 1 2 4 0 2 1 | 2 0 1 2 ---------------+----+------------+---------------------+-------------------------+---------------------+-------- x3o . . . . | 3 | 3 0 0 | 32 * * * * * ♦ 3 3 0 0 0 0 0 0 | 3 3 3 0 0 0 0 | 3 1 1 0 x . x . . . | 4 | 2 2 0 | * 144 * * * * | 1 0 2 1 0 0 0 0 | 2 1 0 2 1 0 0 | 2 1 0 1 x . . . x . | 4 | 2 0 2 | * * 144 * * * | 0 1 0 1 2 0 0 0 | 0 1 2 2 0 1 0 | 2 0 1 1 . . x3o . . | 3 | 0 3 0 | * * * 96 * * | 0 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . x . x . | 4 | 0 2 2 | * * * * 72 * | 0 0 0 2 0 2 0 0 | 0 1 0 4 0 0 1 | 2 0 0 2 . . . o3x . | 3 | 0 0 3 | * * * * * 96 | 0 0 0 0 2 1 0 1 | 0 0 1 2 0 2 1 | 1 0 1 2 ---------------+----+------------+---------------------+-------------------------+---------------------+-------- x3o x . . . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | 48 * * * * * * * | 2 1 0 0 0 0 0 | 2 1 0 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 48 * * * * * * | 0 1 2 0 0 0 0 | 2 0 1 0 x . x3o . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 96 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 72 * * * * | 0 1 0 2 0 0 0 | 2 0 0 1 x . . o3x . ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * 96 * * * | 0 0 1 1 0 1 0 | 1 0 1 1 . . x3o3x . ♦ 12 | 0 12 12 | 0 0 0 4 6 4 | * * * * * 24 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x3o . *d3o ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * * 24 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . o3x *d3o ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 24 | 0 0 0 0 0 2 1 | 0 0 1 2 ---------------+----+------------+---------------------+-------------------------+---------------------+-------- x3o x3o . . ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 3 0 3 0 0 0 0 0 | 32 * * * * * * | 1 1 0 0 x3o x . x . ♦ 12 | 12 6 6 | 4 6 6 0 3 0 | 2 2 0 3 0 0 0 0 | * 24 * * * * * | 2 0 0 0 x3o . o3x . ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 3 0 0 3 0 0 0 | * * 32 * * * * | 1 0 1 0 x . x3o3x . ♦ 24 | 12 24 24 | 0 12 12 8 12 8 | 0 0 4 6 4 2 0 0 | * * * 24 * * * | 1 0 0 1 x . x3o . *d3o ♦ 8 | 4 12 0 | 0 6 0 8 0 0 | 0 0 4 0 0 0 2 0 | * * * * 24 * * | 0 1 0 1 x . . o3x *d3o ♦ 8 | 4 0 12 | 0 0 6 0 0 8 | 0 0 0 0 4 0 0 2 | * * * * * 24 * | 0 0 1 1 . . x3o3x *d3o ♦ 32 | 0 48 48 | 0 0 0 32 24 32 | 0 0 0 0 0 8 8 8 | * * * * * * 3 | 0 0 0 2 ---------------+----+------------+---------------------+-------------------------+---------------------+-------- x3o x3o3x . ♦ 36 | 36 36 36 | 12 36 36 12 18 12 | 12 12 12 18 12 3 0 0 | 4 6 4 3 0 0 0 | 8 * * * x3o x3o . *d3o ♦ 12 | 12 18 0 | 4 18 0 12 0 0 | 6 0 12 0 0 0 3 0 | 4 0 0 0 3 0 0 | * 8 * * x3o . o3x *d3o ♦ 12 | 12 0 18 | 4 0 18 0 0 12 | 0 6 0 0 12 0 0 3 | 0 0 4 0 0 3 0 | * * 8 * x . x3o3x *d3o ♦ 64 | 32 96 96 | 0 48 48 64 48 64 | 0 0 32 24 32 16 16 16 | 0 0 0 8 8 8 2 | * * * 3
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