| Acronym | titstip |
| Name | triangle-triangle-square triprism |
| Circumradius | sqrt(7/6) = 1.080123 |
| Volume | 3/16 = 0.1875 |
| Face vector | 36, 108, 141, 102, 43, 10 |
| Confer |
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Incidence matrix according to Dynkin symbol
x3o x3o x4o . . . . . . | 36 | 2 2 2 | 1 4 4 1 4 1 | 2 2 2 8 2 2 2 | 1 4 1 4 4 1 | 2 2 2 ------------+----+----------+------------------+--------------------+---------------+------ x . . . . . | 2 | 36 * * | 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 4 1 2 2 0 | 2 2 1 . . x . . . | 2 | * 36 * | 0 2 0 1 2 0 | 1 0 2 4 0 2 1 | 1 2 0 4 2 1 | 2 1 2 . . . . x . | 2 | * * 36 | 0 0 2 0 2 1 | 0 1 0 4 2 1 2 | 0 2 1 2 4 1 | 1 2 2 ------------+----+----------+------------------+--------------------+---------------+------ x3o . . . . | 3 | 3 0 0 | 12 * * * * * | 2 2 0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0 x . x . . . | 4 | 2 2 0 | * 36 * * * * | 1 0 1 2 0 0 0 | 1 2 0 2 1 0 | 2 1 1 x . . . x . | 4 | 2 0 2 | * * 36 * * * | 0 1 0 2 1 0 0 | 0 2 1 1 2 0 | 1 2 1 . . x3o . . | 3 | 0 3 0 | * * * 12 * * | 0 0 2 0 0 2 0 | 1 0 0 4 0 1 | 2 0 2 . . x . x . | 4 | 0 2 2 | * * * * 36 * | 0 0 0 2 0 1 1 | 0 1 0 2 2 1 | 1 1 2 . . . . x4o | 4 | 0 0 4 | * * * * * 9 | 0 0 0 0 2 0 2 | 0 0 1 0 4 1 | 0 2 2 ------------+----+----------+------------------+--------------------+---------------+------ x3o x . . . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | 12 * * * * * * | 1 2 0 0 0 0 | 2 1 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 12 * * * * * | 0 2 1 0 0 0 | 1 2 0 x . x3o . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 12 * * * * | 1 0 0 2 0 0 | 2 0 1 x . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 36 * * * | 0 1 0 1 1 0 | 1 1 1 x . . . x4o ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * 9 * * | 0 0 1 0 2 0 | 0 2 1 . . x3o x . ♦ 6 | 0 6 3 | 0 0 0 2 3 0 | * * * * * 12 * | 0 0 0 2 0 1 | 1 0 2 . . x . x4o ♦ 8 | 0 4 8 | 0 0 0 0 4 2 | * * * * * * 9 | 0 0 0 0 2 1 | 0 1 2 ------------+----+----------+------------------+--------------------+---------------+------ x3o x3o . . ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 3 0 3 0 0 0 0 | 4 * * * * * | 2 0 0 x3o x . x . ♦ 12 | 12 6 6 | 4 6 6 0 3 0 | 2 2 0 3 0 0 0 | * 12 * * * * | 1 1 0 x3o . . x4o ♦ 12 | 12 0 12 | 4 0 12 0 0 3 | 0 4 0 0 3 0 0 | * * 3 * * * | 0 2 0 x . x3o x . ♦ 12 | 6 12 6 | 0 6 3 4 6 0 | 0 0 2 3 0 2 0 | * * * 12 * * | 1 0 1 x . x . x4o ♦ 16 | 8 8 16 | 0 4 8 0 8 4 | 0 0 0 4 2 0 2 | * * * * 9 * | 0 1 1 . . x3o x4o ♦ 12 | 0 12 12 | 0 0 0 4 12 3 | 0 0 0 0 0 4 3 | * * * * * 3 | 0 0 2 ------------+----+----------+------------------+--------------------+---------------+------ x3o x3o x . ♦ 18 | 18 18 9 | 6 18 9 6 9 0 | 6 3 6 9 0 3 0 | 2 3 0 3 0 0 | 4 * * x3o x . x4o ♦ 24 | 24 12 24 | 8 12 24 0 12 6 | 4 8 0 12 6 0 3 | 0 4 2 0 3 0 | * 3 * x . x3o x4o ♦ 24 | 12 24 24 | 0 12 12 8 24 6 | 0 0 4 12 3 8 6 | 0 0 0 4 3 2 | * * 3
or . . . . . . | 36 | 4 2 | 2 4 8 1 | 4 4 8 4 | 1 8 2 4 | 2 4 ---------------+----+-------+------------+-------------+----------+---- x . . . . . & | 2 | 72 * | 1 2 2 0 | 3 2 4 1 | 1 6 1 2 | 2 3 . . . . x . | 2 | * 36 | 0 0 4 1 | 0 2 4 4 | 0 4 2 4 | 1 4 ---------------+----+-------+------------+-------------+----------+---- x3o . . . . & | 3 | 3 0 | 24 * * * | 2 2 0 0 | 1 4 1 0 | 2 2 x . x . . . | 4 | 4 0 | * 36 * * | 2 0 2 0 | 1 4 0 1 | 2 2 x . . . x . & | 4 | 2 2 | * * 72 * | 0 1 2 1 | 0 3 1 2 | 1 3 . . . . x4o | 4 | 0 4 | * * * 9 | 0 0 0 4 | 0 0 2 4 | 0 4 ---------------+----+-------+------------+-------------+----------+---- x3o x . . . & ♦ 6 | 9 0 | 2 3 0 0 | 24 * * * | 1 2 0 0 | 2 1 x3o . . x . & ♦ 6 | 6 3 | 2 0 3 0 | * 24 * * | 0 2 1 0 | 1 2 x . x . x . ♦ 8 | 8 4 | 0 2 4 0 | * * 36 * | 0 2 0 1 | 1 2 x . . . x4o & ♦ 8 | 4 8 | 0 0 4 2 | * * * 18 | 0 0 1 2 | 0 3 ---------------+----+-------+------------+-------------+----------+---- x3o x3o . . ♦ 9 | 18 0 | 6 9 0 0 | 6 0 0 0 | 4 * * * | 2 0 x3o x . x . & ♦ 12 | 18 6 | 4 6 9 0 | 2 2 3 0 | * 24 * * | 1 1 x3o . . x4o & ♦ 12 | 12 12 | 4 0 12 3 | 0 4 0 3 | * * 6 * | 0 2 x . x . x4o ♦ 16 | 16 16 | 0 4 16 4 | 0 0 4 4 | * * * 9 | 0 2 ---------------+----+-------+------------+-------------+----------+---- x3o x3o x . ♦ 18 | 36 9 | 12 18 18 0 | 12 6 9 0 | 2 6 0 0 | 4 * x3o x . x4o & ♦ 24 | 36 24 | 8 12 36 6 | 4 8 12 9 | 0 4 2 3 | * 6
x x x3o x3o . . . . . . | 36 | 1 1 2 2 | 1 2 2 2 2 1 4 1 | 2 2 1 4 1 1 4 1 2 2 | 1 4 1 2 2 2 2 1 | 2 2 1 1 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x . . . . . | 2 | 18 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 4 1 0 0 0 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 0 . x . . . . | 2 | * 18 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 4 1 0 0 | 1 4 1 0 0 2 2 0 | 2 2 0 1 . . x . . . | 2 | * * 36 * | 0 1 0 1 0 1 2 0 | 1 0 1 2 0 1 2 0 2 1 | 1 2 0 2 1 2 1 1 | 2 1 1 1 . . . . x . | 2 | * * * 36 | 0 0 1 0 1 0 2 1 | 0 1 0 2 1 0 2 1 1 2 | 0 2 1 1 2 1 2 1 | 1 2 1 1 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x x . . . . | 4 | 2 2 0 0 | 9 * * * * * * * | 2 2 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 0 | 2 2 0 0 x . x . . . | 4 | 2 0 2 0 | * 18 * * * * * * | 1 0 1 2 0 0 0 0 0 0 | 1 2 0 2 1 0 0 0 | 2 1 1 0 x . . . x . | 4 | 2 0 0 2 | * * 18 * * * * * | 0 1 0 2 1 0 0 0 0 0 | 0 2 1 1 2 0 0 0 | 1 2 1 0 . x x . . . | 4 | 0 2 2 0 | * * * 18 * * * * | 1 0 0 0 0 1 2 0 0 0 | 1 2 0 0 0 2 1 0 | 2 1 0 1 . x . . x . | 4 | 0 2 0 2 | * * * * 18 * * * | 0 1 0 0 0 0 2 1 0 0 | 0 2 1 0 0 1 2 0 | 1 2 0 1 . . x3o . . | 3 | 0 0 3 0 | * * * * * 12 * * | 0 0 1 0 0 1 0 0 2 0 | 1 0 0 2 0 2 0 1 | 2 0 1 1 . . x . x . | 4 | 0 0 2 2 | * * * * * * 36 * | 0 0 0 1 0 0 1 0 1 1 | 0 1 0 1 1 1 1 1 | 1 1 1 1 . . . . x3o | 3 | 0 0 0 3 | * * * * * * * 12 | 0 0 0 0 1 0 0 1 0 2 | 0 0 1 0 2 0 2 1 | 0 2 1 1 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x x x . . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 0 | 9 * * * * * * * * * | 1 2 0 0 0 0 0 0 | 2 1 0 0 x x . . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 9 * * * * * * * * | 0 2 1 0 0 0 0 0 | 1 2 0 0 x . x3o . . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 6 * * * * * * * | 1 0 0 2 0 0 0 0 | 2 0 1 0 x . x . x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 18 * * * * * * | 0 1 0 1 1 0 0 0 | 1 1 1 0 x . . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 6 * * * * * | 0 0 1 0 2 0 0 0 | 0 2 1 0 . x x3o . . ♦ 6 | 0 3 6 0 | 0 0 0 3 0 2 0 0 | * * * * * 6 * * * * | 1 0 0 0 0 2 0 0 | 2 0 0 1 . x x . x . ♦ 8 | 0 4 4 4 | 0 0 0 2 2 0 2 0 | * * * * * * 18 * * * | 0 1 0 0 0 1 1 0 | 1 1 0 1 . x . . x3o ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 6 * * | 0 0 1 0 0 0 2 0 | 0 2 0 1 . . x3o x . ♦ 6 | 0 0 6 3 | 0 0 0 0 0 2 3 0 | * * * * * * * * 12 * | 0 0 0 1 0 1 0 1 | 1 0 1 1 . . x . x3o ♦ 6 | 0 0 3 6 | 0 0 0 0 0 0 3 2 | * * * * * * * * * 12 | 0 0 0 0 1 0 1 1 | 0 1 1 1 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x x x3o . . ♦ 12 | 6 6 12 0 | 3 6 0 6 0 4 0 0 | 3 0 2 0 0 2 0 0 0 0 | 3 * * * * * * * | 2 0 0 0 x x x . x . ♦ 16 | 8 8 8 8 | 4 4 4 4 4 0 4 0 | 2 2 0 2 0 0 2 0 0 0 | * 9 * * * * * * | 1 1 0 0 x x . . x3o ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 0 4 | 0 3 0 0 2 0 0 2 0 0 | * * 3 * * * * * | 0 2 0 0 x . x3o x . ♦ 12 | 6 0 12 6 | 0 6 3 0 0 4 6 0 | 0 0 2 3 0 0 0 0 2 0 | * * * 6 * * * * | 1 0 1 0 x . x . x3o ♦ 12 | 6 0 6 12 | 0 3 6 0 0 0 6 4 | 0 0 0 3 2 0 0 0 0 2 | * * * * 6 * * * | 0 1 1 0 . x x3o x . ♦ 12 | 0 6 12 6 | 0 0 0 6 3 4 6 0 | 0 0 0 0 0 2 3 0 2 0 | * * * * * 6 * * | 1 0 0 1 . x x . x3o ♦ 12 | 0 6 6 12 | 0 0 0 3 6 0 6 4 | 0 0 0 0 0 0 3 2 0 2 | * * * * * * 6 * | 0 1 0 1 . . x3o x3o ♦ 9 | 0 0 9 9 | 0 0 0 0 0 3 9 3 | 0 0 0 0 0 0 0 0 3 3 | * * * * * * * 4 | 0 0 1 1 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x x x3o x . ♦ 24 | 12 12 24 12 | 6 12 6 12 6 8 12 0 | 6 3 4 6 0 4 6 0 4 0 | 2 3 0 2 0 2 0 0 | 3 * * * x x x . x3o ♦ 24 | 12 12 12 24 | 6 6 12 6 12 0 12 8 | 3 6 0 6 4 0 6 4 0 4 | 0 3 2 0 2 0 2 0 | * 3 * * x . x3o x3o ♦ 18 | 9 0 18 18 | 0 9 9 0 0 6 18 6 | 0 0 3 9 3 0 0 0 6 6 | 0 0 0 3 3 0 0 2 | * * 2 * . x x3o x3o ♦ 18 | 0 9 18 18 | 0 0 0 9 9 6 18 6 | 0 0 0 0 0 3 9 3 6 6 | 0 0 0 0 0 3 3 2 | * * * 2
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