| Acronym | tettac |
| Name |
tetrahedron-triacontiditeron duoprism, vertex figure of tarv |
| Circumradius | sqrt(7/8) = 0.935414 |
| Volume | 1/180 = 0.0055556 |
| Face vector | 40, 220, 600, 970, 968, 596, 214, 36 |
| Confer |
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Incidence matrix according to Dynkin symbol
x3o3o x3o3o3o4o . . . . . . . . | 40 | 3 8 | 3 24 24 | 1 24 72 32 | 8 72 96 16 | 24 96 48 1 | 32 48 3 | 16 3 ----------------+----+--------+------------+----------------+----------------+--------------+----------+----- x . . . . . . . | 2 | 60 * | 2 8 0 | 1 16 24 0 | 8 48 32 0 | 24 64 16 0 | 32 32 1 | 16 2 . . . x . . . . | 2 | * 160 | 0 3 6 | 0 3 18 12 | 1 18 36 8 | 6 36 24 1 | 12 24 3 | 8 3 ----------------+----+--------+------------+----------------+----------------+--------------+----------+----- x3o . . . . . . | 3 | 3 0 | 40 * * | 1 8 0 0 | 8 24 0 0 | 24 32 0 0 | 32 16 0 | 16 1 x . . x . . . . | 4 | 2 2 | * 240 * | 0 2 6 0 | 1 12 12 0 | 6 24 8 0 | 8 16 1 | 8 2 . . . x3o . . . | 3 | 0 3 | * * 320 | 0 0 3 4 | 0 3 12 4 | 1 12 12 1 | 4 12 3 | 4 3 ----------------+----+--------+------------+----------------+----------------+--------------+----------+----- x3o3o . . . . . ♦ 4 | 6 0 | 4 0 0 | 10 * * * ♦ 8 0 0 0 | 24 0 0 0 | 32 0 0 | 16 0 x3o . x . . . . ♦ 6 | 6 3 | 2 3 0 | * 160 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 | 8 1 x . . x3o . . . ♦ 6 | 3 6 | 0 3 2 | * * 480 * | 0 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2 . . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * * 320 | 0 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ----------------+----+--------+------------+----------------+----------------+--------------+----------+----- x3o3o x . . . . ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | 40 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0 x3o . x3o . . . ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 320 * * | 1 4 0 0 | 4 4 0 | 4 1 x . . x3o3o . . ♦ 8 | 4 12 | 0 6 8 | 0 0 4 2 | * * 480 * | 0 2 2 0 | 1 4 1 | 2 2 . . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * 128 | 0 0 3 1 | 0 3 3 | 1 3 ----------------+----+--------+------------+----------------+----------------+--------------+----------+----- x3o3o x3o . . . ♦ 12 | 18 12 | 12 18 4 | 3 12 6 0 | 3 4 0 0 | 80 * * * | 4 0 0 | 4 0 x3o . x3o3o . . ♦ 12 | 12 18 | 4 18 12 | 0 6 12 3 | 0 4 3 0 | * 320 * * | 1 2 0 | 2 1 x . . x3o3o3o . ♦ 10 | 5 20 | 0 10 20 | 0 0 10 10 | 0 0 5 2 | * * 192 * | 0 2 1 | 1 2 . . . x3o3o3o4o ♦ 10 | 0 40 | 0 0 80 | 0 0 0 80 | 0 0 0 32 | * * * 4 | 0 0 3 | 0 3 ----------------+----+--------+------------+----------------+----------------+--------------+----------+----- x3o3o x3o3o . . ♦ 16 | 24 24 | 16 24 16 | 4 24 24 4 | 6 16 6 0 | 4 4 0 0 | 80 * * | 2 0 x3o . x3o3o3o . ♦ 15 | 15 30 | 5 30 30 | 0 10 30 15 | 0 10 15 3 | 0 5 3 0 | * 128 * | 1 1 x . . x3o3o3o4o ♦ 20 | 10 80 | 0 40 160 | 0 0 80 160 | 0 0 80 64 | 0 0 32 2 | * * 6 | 0 2 ----------------+----+--------+------------+----------------+----------------+--------------+----------+----- x3o3o x3o3o3o . ♦ 20 | 30 40 | 20 60 40 | 5 40 60 20 | 10 40 30 4 | 10 20 6 0 | 5 4 0 | 32 * x3o . x3o3o3o4o ♦ 30 | 30 120 | 10 120 240 | 0 40 240 240 | 0 80 240 96 | 0 80 96 3 | 0 32 3 | * 4
x3o3o o3o3o *e3o3x . . . . . . . . | 40 | 3 8 | 3 24 24 | 1 24 72 32 | 8 72 96 8 8 | 24 96 24 24 1 | 32 24 24 3 | 8 8 3 -------------------+----+--------+------------+----------------+------------------+----------------+------------+-------- x . . . . . . . | 2 | 60 * | 2 8 0 | 1 16 24 0 | 8 48 32 0 0 | 24 64 8 8 0 | 32 16 16 1 | 8 8 2 . . . . . . . x | 2 | * 160 | 0 3 6 | 0 3 18 12 | 1 18 36 4 4 | 6 36 12 12 1 | 12 12 12 3 | 4 4 3 -------------------+----+--------+------------+----------------+------------------+----------------+------------+-------- x3o . . . . . . | 3 | 3 0 | 40 * * | 1 8 0 0 | 8 24 0 0 0 | 24 32 0 0 0 | 32 8 8 0 | 8 8 1 x . . . . . . x | 4 | 2 2 | * 240 * | 0 2 6 0 | 1 12 12 0 0 | 6 24 4 4 0 | 8 8 8 1 | 4 4 2 . . . . . . o3x | 3 | 0 3 | * * 320 | 0 0 3 4 | 0 3 12 2 2 | 1 12 6 6 1 | 4 6 6 3 | 2 2 3 -------------------+----+--------+------------+----------------+------------------+----------------+------------+-------- x3o3o . . . . . ♦ 4 | 6 0 | 4 0 0 | 10 * * * ♦ 8 0 0 0 0 | 24 0 0 0 0 | 32 0 0 0 | 8 8 0 x3o . . . . . x ♦ 6 | 6 3 | 2 3 0 | * 160 * * | 1 6 0 0 0 | 6 12 0 0 0 | 12 4 4 0 | 4 4 1 x . . . . . o3x ♦ 6 | 3 6 | 0 3 2 | * * 480 * | 0 2 4 0 0 | 1 8 2 2 0 | 4 4 4 1 | 2 2 2 . . . . o . *e3o3x ♦ 4 | 0 6 | 0 0 4 | * * * 320 | 0 0 3 1 1 | 0 3 3 3 1 | 1 3 3 3 | 1 1 3 -------------------+----+--------+------------+----------------+------------------+----------------+------------+-------- x3o3o . . . . x ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 | 40 * * * * ♦ 6 0 0 0 0 | 12 0 0 0 | 4 4 0 x3o . . . . o3x ♦ 9 | 9 9 | 3 9 3 | 0 3 3 0 | * 320 * * * | 1 4 0 0 0 | 4 2 2 0 | 2 2 1 x . . . o . *e3o3x ♦ 8 | 4 12 | 0 6 8 | 0 0 4 2 | * * 480 * * | 0 2 1 1 0 | 1 2 2 1 | 1 1 2 . . . o3o . *e3o3x ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * 64 * | 0 0 3 0 1 | 0 3 0 3 | 1 0 3 . . . . o3o *e3o3x ♦ 5 | 0 10 | 0 0 10 | 0 0 0 5 | * * * * 64 | 0 0 0 3 1 | 0 0 3 3 | 0 1 3 -------------------+----+--------+------------+----------------+------------------+----------------+------------+-------- x3o3o . . . o3x ♦ 12 | 18 12 | 12 18 4 | 3 12 6 0 | 3 4 0 0 0 | 80 * * * * | 4 0 0 0 | 2 2 0 x3o . . o . *e3o3x ♦ 12 | 12 18 | 4 18 12 | 0 6 12 3 | 0 4 3 0 0 | * 320 * * * | 1 1 1 0 | 1 1 1 x . . o3o . *e3o3x ♦ 10 | 5 20 | 0 10 20 | 0 0 10 10 | 0 0 5 2 0 | * * 96 * * | 0 2 0 1 | 1 0 2 x . . . o3o *e3o3x ♦ 10 | 5 20 | 0 10 20 | 0 0 10 10 | 0 0 5 0 2 | * * * 96 * | 0 0 2 1 | 0 1 2 . . . o3o3o *e3o3x ♦ 10 | 0 40 | 0 0 80 | 0 0 0 80 | 0 0 0 16 16 | * * * * 4 | 0 0 0 3 | 0 0 3 -------------------+----+--------+------------+----------------+------------------+----------------+------------+-------- x3o3o . o . *e3o3x ♦ 16 | 24 24 | 16 24 16 | 4 24 24 4 | 6 16 6 0 0 | 4 4 0 0 0 | 80 * * * | 1 1 0 x3o . o3o . *e3o3x ♦ 15 | 15 30 | 5 30 30 | 0 10 30 15 | 0 10 15 3 0 | 0 5 3 0 0 | * 64 * * | 1 0 1 x3o . . o3o *e3o3x ♦ 15 | 15 30 | 5 30 30 | 0 10 30 15 | 0 10 15 0 3 | 0 5 0 3 0 | * * 64 * | 0 1 1 x . . o3o3o *e3o3x ♦ 20 | 10 80 | 0 40 160 | 0 0 80 160 | 0 0 80 32 32 | 0 0 16 16 2 | * * * 6 | 0 0 2 -------------------+----+--------+------------+----------------+------------------+----------------+------------+-------- x3o3o o3o . *e3o3x ♦ 20 | 30 40 | 20 60 40 | 5 40 60 20 | 10 40 30 4 0 | 10 20 6 0 0 | 5 4 0 0 | 16 * * x3o3o . o3o *e3o3x ♦ 20 | 30 40 | 20 60 40 | 5 40 60 20 | 10 40 30 0 4 | 10 20 0 6 0 | 5 0 4 0 | * 16 * x3o . o3o3o *e3o3x ♦ 30 | 30 120 | 10 120 240 | 0 40 240 240 | 0 80 240 48 48 | 0 80 48 48 3 | 0 16 16 3 | * * 4
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