| Acronym | tetrit |
| Name | tetrahedron - rectified-tesseract duoprism |
| Circumradius | sqrt(15/8) = 1.369306 |
| Face vector | 128, 576, 1056, 1040, 596, 190, 28 |
| Confer |
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Incidence matrix according to Dynkin symbol
x3o3o o3o3x4o . . . . . . . | 128 | 3 6 | 3 12 6 3 | 1 18 18 9 2 3 | 6 18 9 6 9 1 | 6 3 6 9 3 | 2 3 3 --------------+-----+---------+----------------+----------------------+-------------------+---------------+------- x . . . . . . | 2 | 192 * | 2 6 0 0 | 1 12 6 3 0 0 | 6 12 6 2 3 0 | 6 3 4 6 1 | 2 3 2 . . . . . x . | 2 | * 384 | 0 3 2 1 | 0 3 6 3 1 2 | 1 6 3 3 6 1 | 2 1 3 6 3 | 1 2 3 --------------+-----+---------+----------------+----------------------+-------------------+---------------+------- x3o . . . . . | 3 | 3 0 | 128 * * * | 1 6 0 0 0 0 | 6 6 3 0 0 0 | 6 3 2 3 0 | 2 3 1 x . . . . x . | 4 | 2 2 | * 576 * * | 0 2 2 1 0 0 | 1 4 2 1 2 0 | 2 1 2 4 1 | 1 2 2 . . . . o3x . | 3 | 0 3 | * * 256 * | 0 0 3 0 1 1 | 0 3 0 3 3 1 | 1 0 3 3 3 | 1 1 3 . . . . . x4o | 4 | 0 4 | * * * 96 | 0 0 0 3 0 2 | 0 0 3 0 6 1 | 0 1 0 6 3 | 0 2 3 --------------+-----+---------+----------------+----------------------+-------------------+---------------+------- x3o3o . . . . ♦ 4 | 6 0 | 4 0 0 0 | 32 * * * * * ♦ 6 0 0 0 0 0 | 6 3 0 0 0 | 2 3 0 x3o . . . x . ♦ 6 | 6 3 | 2 3 0 0 | * 384 * * * * | 1 2 1 0 0 0 | 2 1 1 2 0 | 1 2 1 x . . . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * * 384 * * * | 0 2 0 1 1 0 | 1 0 2 2 1 | 1 1 2 x . . . . x4o ♦ 8 | 4 8 | 0 4 0 2 | * * * 144 * * | 0 0 2 0 2 0 | 0 1 0 4 1 | 0 2 2 . . . o3o3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * * 64 * | 0 0 0 3 0 1 | 0 0 3 0 3 | 1 0 3 . . . . o3x4o ♦ 12 | 0 24 | 0 0 8 6 | * * * * * 32 | 0 0 0 0 3 1 | 0 0 0 3 3 | 0 1 3 --------------+-----+---------+----------------+----------------------+-------------------+---------------+------- x3o3o . . x . ♦ 8 | 12 4 | 8 6 0 0 | 2 4 0 0 0 0 | 96 * * * * * | 2 1 0 0 0 | 1 2 0 x3o . . o3x . ♦ 9 | 9 9 | 3 9 3 0 | 0 3 3 0 0 0 | * 256 * * * * | 1 0 1 1 0 | 1 1 1 x3o . . . x4o ♦ 12 | 12 12 | 4 12 0 3 | 0 4 0 3 0 0 | * * 96 * * * | 0 1 0 2 0 | 0 2 1 x . . o3o3x . ♦ 8 | 4 12 | 0 6 8 0 | 0 0 4 0 2 0 | * * * 96 * * | 0 0 2 0 1 | 1 0 2 x . . . o3x4o ♦ 24 | 12 48 | 0 24 16 12 | 0 0 8 6 0 2 | * * * * 48 * | 0 0 0 2 1 | 0 1 2 . . . o3o3x4o ♦ 32 | 0 96 | 0 0 64 24 | 0 0 0 0 16 8 | * * * * * 4 | 0 0 0 0 3 | 0 0 3 --------------+-----+---------+----------------+----------------------+-------------------+---------------+------- x3o3o . o3x . ♦ 12 | 18 12 | 12 18 4 0 | 3 12 6 0 0 0 | 3 4 0 0 0 0 | 64 * * * * | 1 1 0 x3o3o . . x4o ♦ 16 | 24 16 | 16 24 0 4 | 4 16 0 6 0 0 | 4 0 4 0 0 0 | * 24 * * * | 0 2 0 x3o . o3o3x . ♦ 12 | 12 18 | 4 18 12 0 | 0 6 12 0 3 0 | 0 4 0 3 0 0 | * * 64 * * | 1 0 1 x3o . . o3x4o ♦ 36 | 36 72 | 12 72 24 18 | 0 24 24 18 0 3 | 0 8 6 0 3 0 | * * * 32 * | 0 1 1 x . . o3o3x4o ♦ 64 | 32 192 | 0 96 128 48 | 0 0 64 24 32 16 | 0 0 0 16 8 2 | * * * * 6 | 0 0 2 --------------+-----+---------+----------------+----------------------+-------------------+---------------+------- x3o3o o3o3x . ♦ 16 | 24 24 | 16 36 16 0 | 4 24 24 0 4 0 | 6 16 0 6 0 0 | 4 0 4 0 0 | 16 * * x3o3o . o3x4o ♦ 48 | 72 96 | 48 144 32 24 | 12 96 48 36 0 4 | 24 32 24 0 6 0 | 8 6 0 4 0 | * 8 * x3o . o3o3x4o ♦ 96 | 96 288 | 32 288 192 72 | 0 96 192 72 48 24 | 0 64 24 48 24 3 | 0 0 16 8 3 | * * 4
x3o3o x3o3x *e3o . . . . . . . | 128 | 3 3 3 | 3 6 6 3 3 3 | 1 9 9 9 9 9 3 1 1 | 3 3 9 9 9 9 3 3 1 | 3 3 3 9 3 3 3 | 3 1 1 3 -----------------+-----+-------------+------------------------+---------------------------------+-----------------------------+---------------------+-------- x . . . . . . | 2 | 192 * * | 2 3 3 0 0 0 | 1 6 6 3 3 3 0 0 0 | 3 3 6 6 6 3 1 1 0 | 3 3 3 6 2 2 1 | 3 1 1 2 . . . x . . . | 2 | * 192 * | 0 3 0 2 1 0 | 0 3 0 6 3 0 2 1 0 | 1 0 6 3 0 6 3 0 1 | 2 1 0 6 3 0 3 | 2 1 0 3 . . . . . x . | 2 | * * 192 | 0 0 3 0 1 2 | 0 0 3 0 3 6 2 0 1 | 0 1 0 3 6 6 0 3 1 | 0 1 2 6 0 3 3 | 2 0 1 3 -----------------+-----+-------------+------------------------+---------------------------------+-----------------------------+---------------------+-------- x3o . . . . . | 3 | 3 0 0 | 128 * * * * * | 1 3 3 0 0 0 0 0 0 | 3 3 3 3 3 0 0 0 0 | 3 3 3 3 1 1 0 | 3 1 1 1 x . . x . . . | 4 | 2 2 0 | * 288 * * * * | 0 2 0 2 1 0 0 0 0 | 1 0 4 2 0 2 1 0 0 | 2 1 0 4 2 0 1 | 2 1 0 2 x . . . . x . | 4 | 2 0 2 | * * 288 * * * | 0 0 2 0 1 2 0 0 0 | 0 1 0 2 4 2 0 1 0 | 0 1 2 4 0 2 1 | 2 0 1 2 . . . x3o . . | 3 | 0 3 0 | * * * 128 * * | 0 0 0 3 0 0 1 1 0 | 0 0 3 0 0 3 3 0 1 | 1 0 0 3 3 0 3 | 1 1 0 3 . . . x . x . | 4 | 0 2 2 | * * * * 96 * | 0 0 0 0 3 0 2 0 0 | 0 0 0 3 0 6 0 0 1 | 0 1 0 6 0 0 3 | 2 0 0 3 . . . . o3x . | 3 | 0 0 3 | * * * * * 128 | 0 0 0 0 0 3 1 0 1 | 0 0 0 0 3 3 0 3 1 | 0 0 1 3 0 3 3 | 1 0 1 3 -----------------+-----+-------------+------------------------+---------------------------------+-----------------------------+---------------------+-------- x3o3o . . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 32 * * * * * * * * ♦ 3 3 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 | 3 1 1 0 x3o . x . . . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 192 * * * * * * * | 1 0 2 1 0 0 0 0 0 | 2 1 0 2 1 0 0 | 2 1 0 1 x3o . . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 192 * * * * * * | 0 1 0 1 2 0 0 0 0 | 0 1 2 2 0 1 0 | 2 0 1 1 x . . x3o . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 192 * * * * * | 0 0 2 0 0 1 1 0 0 | 1 0 0 2 2 0 1 | 1 1 0 2 x . . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * * 144 * * * * | 0 0 0 2 0 2 0 0 0 | 0 1 0 4 0 0 1 | 2 0 0 2 x . . . o3x . ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * * 192 * * * | 0 0 0 0 2 1 0 1 0 | 0 0 1 2 0 2 1 | 1 0 1 2 . . . x3o3x . ♦ 12 | 0 12 12 | 0 0 0 4 6 4 | * * * * * * 32 * * | 0 0 0 0 0 3 0 0 1 | 0 0 0 3 0 0 3 | 1 0 0 3 . . . x3o . *e3o ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * * * 32 * | 0 0 0 0 0 0 3 0 1 | 0 0 0 0 3 0 3 | 0 1 0 3 . . . . o3x *e3o ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * * 32 | 0 0 0 0 0 0 0 3 1 | 0 0 0 0 0 3 3 | 0 0 1 3 -----------------+-----+-------------+------------------------+---------------------------------+-----------------------------+---------------------+-------- x3o3o x . . . ♦ 8 | 12 4 0 | 8 6 0 0 0 0 | 2 4 0 0 0 0 0 0 0 | 48 * * * * * * * * | 2 1 0 0 0 0 0 | 2 1 0 0 x3o3o . . x . ♦ 8 | 12 0 4 | 8 0 6 0 0 0 | 2 0 4 0 0 0 0 0 0 | * 48 * * * * * * * | 0 1 2 0 0 0 0 | 2 0 1 0 x3o . x3o . . ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 0 3 0 3 0 0 0 0 0 | * * 128 * * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x3o . x . x . ♦ 12 | 12 6 6 | 4 6 6 0 3 0 | 0 2 2 0 3 0 0 0 0 | * * * 96 * * * * * | 0 1 0 2 0 0 0 | 2 0 0 1 x3o . . o3x . ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 0 3 0 0 3 0 0 0 | * * * * 128 * * * * | 0 0 1 1 0 1 0 | 1 0 1 1 x . . x3o3x . ♦ 24 | 12 24 24 | 0 12 12 8 12 8 | 0 0 0 4 6 4 2 0 0 | * * * * * 48 * * * | 0 0 0 2 0 0 1 | 1 0 0 2 x . . x3o . *e3o ♦ 8 | 4 12 0 | 0 6 0 8 0 0 | 0 0 0 4 0 0 0 2 0 | * * * * * * 48 * * | 0 0 0 0 2 0 1 | 0 1 0 2 x . . . o3x *e3o ♦ 8 | 4 0 12 | 0 0 6 0 0 8 | 0 0 0 0 0 4 0 0 2 | * * * * * * * 48 * | 0 0 0 0 0 2 1 | 0 0 1 2 . . . x3o3x *e3o ♦ 32 | 0 48 48 | 0 0 0 32 24 32 | 0 0 0 0 0 0 8 8 8 | * * * * * * * * 4 | 0 0 0 0 0 0 3 | 0 0 0 3 -----------------+-----+-------------+------------------------+---------------------------------+-----------------------------+---------------------+-------- x3o3o x3o . . ♦ 12 | 18 12 0 | 12 18 0 4 0 0 | 3 12 0 6 0 0 0 0 0 | 3 0 4 0 0 0 0 0 0 | 32 * * * * * * | 1 1 0 0 x3o3o x . x . ♦ 16 | 24 8 8 | 16 12 12 0 4 0 | 4 8 8 0 6 0 0 0 0 | 2 2 0 4 0 0 0 0 0 | * 24 * * * * * | 2 0 0 0 x3o3o . o3x . ♦ 12 | 18 0 12 | 12 0 18 0 0 4 | 3 0 12 0 0 6 0 0 0 | 0 3 0 0 4 0 0 0 0 | * * 32 * * * * | 1 0 1 0 x3o . x3o3x . ♦ 36 | 36 36 36 | 12 36 36 12 18 12 | 0 12 12 12 18 12 3 0 0 | 0 0 4 6 4 3 0 0 0 | * * * 32 * * * | 1 0 0 1 x3o . x3o . *e3o ♦ 12 | 12 18 0 | 4 18 0 12 0 0 | 0 6 0 12 0 0 0 3 0 | 0 0 4 0 0 0 3 0 0 | * * * * 32 * * | 0 1 0 1 x3o . . o3x *e3o ♦ 12 | 12 0 18 | 4 0 18 0 0 12 | 0 0 6 0 0 12 0 0 3 | 0 0 0 0 4 0 0 3 0 | * * * * * 32 * | 0 0 1 1 x . . x3o3x *e3o ♦ 64 | 32 96 96 | 0 48 48 64 48 64 | 0 0 0 32 24 32 16 16 16 | 0 0 0 0 0 8 8 8 2 | * * * * * * 6 | 0 0 0 2 -----------------+-----+-------------+------------------------+---------------------------------+-----------------------------+---------------------+-------- x3o3o x3o3x . ♦ 48 | 72 48 48 | 48 72 72 16 24 16 | 12 48 48 24 36 24 4 0 0 | 12 12 16 24 16 6 0 0 0 | 4 6 4 4 0 0 0 | 8 * * * x3o3o x3o . *e3o ♦ 16 | 24 24 0 | 16 36 0 16 0 0 | 4 24 0 24 0 0 0 4 0 | 6 0 16 0 0 0 6 0 0 | 4 0 0 0 4 0 0 | * 8 * * x3o3o . o3x *e3o ♦ 16 | 24 0 24 | 16 0 36 0 0 16 | 4 0 24 0 0 24 0 0 4 | 0 6 0 0 16 0 0 6 0 | 0 0 4 0 0 4 0 | * * 8 * x3o . x3o3x *e3o ♦ 96 | 96 144 144 | 32 144 144 96 72 96 | 0 48 48 96 72 96 24 24 24 | 0 0 32 24 32 24 24 24 3 | 0 0 0 8 8 8 3 | * * * 4
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