- general triprisms:
- n,m,k-tip n,n,m-tip
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | tithtip |
| Name | triangle-triangle-hexagon triprism |
| Circumradius | sqrt(5/3) = 1.290994 |
| Volume | 9 sqrt(3)/32 = 0.487139 |
| Face vector | 54, 162, 207, 144, 57, 12 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o x3o x6o . . . . . . | 54 | 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 | 54 * * | 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 4 1 2 2 0 | 2 2 1 . . x . . . | 2 | * 54 * | 0 2 0 1 2 0 | 1 0 2 4 0 2 1 | 1 2 0 4 2 1 | 2 1 2 . . . . x . | 2 | * * 54 | 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 | 18 * * * * * | 2 2 0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0 x . x . . . | 4 | 2 2 0 | * 54 * * * * | 1 0 1 2 0 0 0 | 1 2 0 2 1 0 | 2 1 1 x . . . x . | 4 | 2 0 2 | * * 54 * * * | 0 1 0 2 1 0 0 | 0 2 1 1 2 0 | 1 2 1 . . x3o . . | 3 | 0 3 0 | * * * 18 * * | 0 0 2 0 0 2 0 | 1 0 0 4 0 1 | 2 0 2 . . x . x . | 4 | 0 2 2 | * * * * 54 * | 0 0 0 2 0 1 1 | 0 1 0 2 2 1 | 1 1 2 . . . . x6o | 6 | 0 0 6 | * * * * * 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 | 18 * * * * * * | 1 2 0 0 0 0 | 2 1 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 18 * * * * * | 0 2 1 0 0 0 | 1 2 0 x . x3o . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 18 * * * * | 1 0 0 2 0 0 | 2 0 1 x . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 54 * * * | 0 1 0 1 1 0 | 1 1 1 x . . . x6o ♦ 12 | 6 0 12 | 0 0 6 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 | * * * * * 18 * | 0 0 0 2 0 1 | 1 0 2 . . x . x6o ♦ 12 | 0 6 12 | 0 0 0 0 6 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 | 6 * * * * * | 2 0 0 x3o x . x . ♦ 12 | 12 6 6 | 4 6 6 0 3 0 | 2 2 0 3 0 0 0 | * 18 * * * * | 1 1 0 x3o . . x6o ♦ 18 | 18 0 12 | 6 0 18 0 0 3 | 0 6 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 | * * * 18 * * | 1 0 1 x . x . x6o ♦ 24 | 12 12 24 | 0 6 12 0 12 4 | 0 0 0 6 2 0 2 | * * * * 9 * | 0 1 1 . . x3o x6o ♦ 18 | 0 18 18 | 0 0 0 6 18 3 | 0 0 0 0 0 6 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 | 6 * * x3o x . x6o ♦ 36 | 36 18 36 | 12 18 36 0 18 6 | 6 12 0 18 6 0 3 | 0 6 2 0 3 0 | * 3 * x . x3o x6o ♦ 36 | 18 36 36 | 0 18 18 12 36 6 | 0 0 6 18 3 12 6 | 0 0 0 6 3 2 | * * 3
or . . . . . . | 54 | 4 2 | 2 4 8 1 | 4 4 8 4 | 1 8 2 4 | 2 4 ---------------+----+--------+-------------+-------------+----------+---- x . . . . . & | 2 | 108 * | 1 2 2 0 | 3 2 4 1 | 1 6 1 2 | 2 3 . . . . x . | 2 | * 54 | 0 0 4 1 | 0 2 4 4 | 0 4 2 4 | 1 4 ---------------+----+--------+-------------+-------------+----------+---- x3o . . . . & | 3 | 3 0 | 36 * * * | 2 2 0 0 | 1 4 1 0 | 2 2 x . x . . . | 4 | 4 0 | * 54 * * | 2 0 2 0 | 1 4 0 1 | 2 2 x . . . x . & | 4 | 2 2 | * * 108 * | 0 1 2 1 | 0 3 1 2 | 1 3 . . . . x6o | 6 | 0 6 | * * * 9 | 0 0 0 4 | 0 0 2 4 | 0 4 ---------------+----+--------+-------------+-------------+----------+---- x3o x . . . & ♦ 6 | 9 0 | 2 3 0 0 | 36 * * * | 1 2 0 0 | 2 1 x3o . . x . & ♦ 6 | 6 3 | 2 0 3 0 | * 36 * * | 0 2 1 0 | 1 2 x . x . x . ♦ 8 | 8 4 | 0 2 4 0 | * * 54 * | 0 2 0 1 | 1 2 x . . . x6o & ♦ 12 | 6 12 | 0 0 6 2 | * * * 18 | 0 0 1 2 | 0 3 ---------------+----+--------+-------------+-------------+----------+---- x3o x3o . . ♦ 9 | 18 0 | 6 9 0 0 | 6 0 0 0 | 6 * * * | 2 0 x3o x . x . & ♦ 12 | 18 6 | 4 6 9 0 | 2 2 3 0 | * 36 * * | 1 1 x3o . . x6o & ♦ 18 | 18 18 | 6 0 18 3 | 0 6 0 3 | * * 6 * | 0 2 x . x . x6o ♦ 24 | 24 24 | 0 6 24 4 | 0 0 6 4 | * * * 9 | 0 2 ---------------+----+--------+-------------+-------------+----------+---- x3o x3o x . ♦ 18 | 36 9 | 12 18 18 0 | 12 6 9 0 | 2 6 0 0 | 6 * x3o x . x6o & ♦ 36 | 36 36 | 12 18 54 6 | 6 12 18 9 | 0 6 2 3 | * 6
x3o x3o x3x . . . . . . | 54 | 2 2 1 1 | 1 4 2 2 1 2 2 1 | 2 1 1 2 4 4 2 1 1 2 | 1 2 2 1 2 2 4 1 | 1 1 2 2 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x . . . . . | 2 | 54 * * * | 1 2 1 1 0 0 0 0 | 2 1 1 1 2 2 1 0 0 0 | 1 2 2 1 1 1 2 0 | 1 1 2 1 . . x . . . | 2 | * 54 * * | 0 2 0 0 1 1 1 0 | 1 0 0 2 1 1 0 1 1 1 | 1 1 1 0 2 2 2 1 | 1 1 1 2 . . . . x . | 2 | * * 27 * | 0 0 2 0 0 2 0 1 | 0 1 0 0 4 0 2 1 0 2 | 0 2 0 1 2 0 4 1 | 1 0 2 2 . . . . . x | 2 | * * * 27 | 0 0 0 2 0 0 2 1 | 0 0 1 0 0 4 2 0 1 2 | 0 0 2 1 0 2 4 1 | 0 1 2 2 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x3o . . . . | 3 | 3 0 0 0 | 18 * * * * * * * | 2 1 1 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 0 | 1 1 2 0 x . x . . . | 4 | 2 2 0 0 | * 54 * * * * * * | 1 0 0 1 1 1 0 0 0 0 | 1 1 1 0 1 1 1 0 | 1 1 1 1 x . . . x . | 4 | 2 0 2 0 | * * 27 * * * * * | 0 1 0 0 2 0 1 0 0 0 | 0 2 0 1 1 0 2 0 | 1 0 2 1 x . . . . x | 4 | 2 0 0 2 | * * * 27 * * * * | 0 0 1 0 0 2 1 0 0 0 | 0 0 2 1 0 1 2 0 | 0 1 2 1 . . x3o . . | 3 | 0 3 0 0 | * * * * 18 * * * | 0 0 0 2 0 0 0 1 1 0 | 1 0 0 0 2 2 0 1 | 1 1 0 2 . . x . x . | 4 | 0 2 2 0 | * * * * * 27 * * | 0 0 0 0 2 0 0 1 0 1 | 0 1 0 0 2 0 2 1 | 1 0 1 2 . . x . . x | 4 | 0 2 0 2 | * * * * * * 27 * | 0 0 0 0 0 2 0 0 1 1 | 0 0 1 0 0 2 2 1 | 0 1 1 2 . . . . x3x | 6 | 0 0 3 3 | * * * * * * * 9 | 0 0 0 0 0 0 2 0 0 2 | 0 0 0 1 0 0 4 1 | 0 0 2 2 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x3o x . . . ♦ 6 | 6 3 0 0 | 2 3 0 0 0 0 0 0 | 18 * * * * * * * * * | 1 1 1 0 0 0 0 0 | 1 1 1 0 x3o . . x . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 | * 9 * * * * * * * * | 0 2 0 1 0 0 0 0 | 1 0 2 0 x3o . . . x ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 0 | * * 9 * * * * * * * | 0 0 2 1 0 0 0 0 | 0 1 2 0 x . x3o . . ♦ 6 | 3 6 0 0 | 0 3 0 0 2 0 0 0 | * * * 18 * * * * * * | 1 0 0 0 1 1 0 0 | 1 1 0 1 x . x . x . ♦ 8 | 4 4 4 0 | 0 2 2 0 0 2 0 0 | * * * * 27 * * * * * | 0 1 0 0 1 0 1 0 | 1 0 1 1 x . x . . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 0 2 0 | * * * * * 27 * * * * | 0 0 1 0 0 1 1 0 | 0 1 1 1 x . . . x3x ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 0 2 | * * * * * * 9 * * * | 0 0 0 1 0 0 2 0 | 0 0 2 1 . . x3o x . ♦ 6 | 0 6 3 0 | 0 0 0 0 2 3 0 0 | * * * * * * * 9 * * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . x3o . x ♦ 6 | 0 6 0 3 | 0 0 0 0 2 0 3 0 | * * * * * * * * 9 * | 0 0 0 0 0 2 0 1 | 0 1 0 2 . . x . x3x ♦ 12 | 0 6 6 6 | 0 0 0 0 0 3 3 2 | * * * * * * * * * 9 | 0 0 0 0 0 0 2 1 | 0 0 1 2 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x3o x3o . . ♦ 9 | 9 9 0 0 | 3 9 0 0 3 0 0 0 | 3 0 0 3 0 0 0 0 0 0 | 6 * * * * * * * | 1 1 0 0 x3o x . x . ♦ 12 | 12 6 6 0 | 4 6 6 0 0 3 0 0 | 2 2 0 0 3 0 0 0 0 0 | * 9 * * * * * * | 1 0 1 0 x3o x . . x ♦ 12 | 12 6 0 6 | 4 6 0 6 0 0 3 0 | 2 0 2 0 0 3 0 0 0 0 | * * 9 * * * * * | 0 1 1 0 x3o . . x3x ♦ 18 | 18 0 9 9 | 6 0 9 9 0 0 0 3 | 0 3 3 0 0 0 3 0 0 0 | * * * 3 * * * * | 0 0 2 0 x . x3o x . ♦ 12 | 6 12 6 0 | 0 6 3 0 4 6 0 0 | 0 0 0 2 3 0 0 2 0 0 | * * * * 9 * * * | 1 0 0 1 x . x3o . x ♦ 12 | 6 12 0 6 | 0 6 0 3 4 0 6 0 | 0 0 0 2 0 3 0 0 2 0 | * * * * * 9 * * | 0 1 0 1 x . x . x3x ♦ 24 | 12 12 12 12 | 0 6 6 6 0 6 6 4 | 0 0 0 0 3 3 2 0 0 2 | * * * * * * 9 * | 0 0 1 1 . . x3o x3x ♦ 18 | 0 18 9 9 | 0 0 0 0 6 9 9 3 | 0 0 0 0 0 0 0 3 3 3 | * * * * * * * 3 | 0 0 0 2 ------------+----+-------------+------------------------+-------------------------+-----------------+-------- x3o x3o x . ♦ 18 | 18 18 9 0 | 6 18 9 0 6 9 0 0 | 6 3 0 6 9 0 0 3 0 0 | 2 3 0 0 3 0 0 0 | 3 * * * x3o x3o . x ♦ 18 | 18 18 0 9 | 6 18 0 9 6 0 9 0 | 6 0 3 6 0 9 0 0 3 0 | 2 0 3 0 0 3 0 0 | * 3 * * x3o x . x3x ♦ 36 | 36 18 18 18 | 12 18 18 18 0 9 9 6 | 6 6 6 0 9 9 6 0 0 3 | 0 3 3 2 0 0 3 0 | * * 3 * x . x3o x3x ♦ 36 | 18 36 18 18 | 0 18 9 9 12 18 18 6 | 0 0 0 6 9 9 3 6 6 6 | 0 0 0 0 3 3 3 2 | * * * 3
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