| Acronym | trico |
| Name | triangle - icositetrachoron duoprism |
| Circumradius | sqrt(4/3) = 1.154701 |
| Volume | sqrt(3)/2 = 0.866025 |
| Face vector | 72, 360, 600, 456, 171, 27 |
| Confer |
|
Incidence matrix according to Dynkin symbol
x3o x3o4o3o . . . . . . | 72 | 2 8 | 1 16 12 | 8 24 6 | 12 12 1 | 6 2 ------------+----+--------+------------+-----------+---------+----- x . . . . . | 2 | 72 * | 1 8 0 | 8 12 0 | 12 6 0 | 6 1 . . x . . . | 2 | * 288 | 0 2 3 | 1 6 3 | 3 6 1 | 3 2 ------------+----+--------+------------+-----------+---------+----- x3o . . . . | 3 | 3 0 | 24 * * ♦ 8 0 0 | 12 0 0 | 6 0 x . x . . . | 4 | 2 2 | * 288 * | 1 3 0 | 3 3 0 | 3 1 . . x3o . . | 3 | 0 3 | * * 288 | 0 2 2 | 1 4 1 | 2 2 ------------+----+--------+------------+-----------+---------+----- x3o x . . . ♦ 6 | 6 3 | 2 3 0 | 96 * * | 3 0 0 | 3 0 x . x3o . . ♦ 6 | 3 6 | 0 3 2 | * 288 * | 1 2 0 | 2 1 . . x3o4o . ♦ 6 | 0 12 | 0 0 8 | * * 72 | 0 2 1 | 1 2 ------------+----+--------+------------+-----------+---------+----- x3o x3o . . ♦ 9 | 9 9 | 3 9 3 | 3 3 0 | 96 * * | 2 0 x . x3o4o . ♦ 12 | 6 24 | 0 12 16 | 0 8 2 | * 72 * | 1 1 . . x3o4o3o ♦ 24 | 0 96 | 0 0 96 | 0 0 24 | * * 3 | 0 2 ------------+----+--------+------------+-----------+---------+----- x3o x3o4o . ♦ 18 | 18 36 | 6 36 24 | 12 24 3 | 8 3 0 | 24 * x . x3o4o3o ♦ 48 | 24 192 | 0 96 192 | 0 96 48 | 0 24 2 | * 3
x3o o3x3o4o . . . . . . | 72 | 2 8 | 1 16 4 8 | 8 8 16 4 2 | 4 8 8 4 1 | 4 2 2 ------------+----+--------+---------------+-----------------+---------------+------- x . . . . . | 2 | 72 * | 1 8 0 0 | 8 4 8 0 0 | 4 8 4 2 0 | 4 2 1 . . . x . . | 2 | * 288 | 0 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o . . . . | 3 | 3 0 | 24 * * * ♦ 8 0 0 0 0 | 4 8 0 0 0 | 4 2 0 x . . x . . | 4 | 2 2 | * 288 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . o3x . . | 3 | 0 3 | * * 96 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x3o . | 3 | 0 3 | * * * 192 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o . x . . ♦ 6 | 6 3 | 2 3 0 0 | 96 * * * * | 1 2 0 0 0 | 2 1 0 x . o3x . . ♦ 6 | 3 6 | 0 3 2 0 | * 96 * * * | 1 0 2 0 0 | 2 0 1 x . . x3o . ♦ 6 | 3 6 | 0 3 0 2 | * * 192 * * | 0 1 1 1 0 | 1 1 1 . . o3x3o . ♦ 6 | 0 12 | 0 0 4 4 | * * * 48 * | 0 0 2 0 1 | 1 0 2 . . . x3o4o ♦ 6 | 0 12 | 0 0 0 8 | * * * * 24 | 0 0 0 2 1 | 0 1 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o o3x . . ♦ 9 | 9 9 | 3 9 3 0 | 3 3 0 0 0 | 32 * * * * | 2 0 0 x3o . x3o . ♦ 9 | 9 9 | 3 9 0 3 | 3 0 3 0 0 | * 64 * * * | 1 1 0 x . o3x3o . ♦ 12 | 6 24 | 0 12 8 8 | 0 4 4 2 0 | * * 48 * * | 1 0 1 x . . x3o4o ♦ 12 | 6 24 | 0 12 0 16 | 0 0 8 0 2 | * * * 24 * | 0 1 1 . . o3x3o4o ♦ 24 | 0 96 | 0 0 32 64 | 0 0 0 16 8 | * * * * 3 | 0 0 2 ------------+----+--------+---------------+-----------------+---------------+------- x3o o3x3o . ♦ 18 | 18 36 | 6 36 12 12 | 12 12 12 3 0 | 4 4 3 0 0 | 16 * * x3o . x3o4o ♦ 18 | 18 36 | 6 36 0 24 | 12 0 24 0 3 | 0 8 0 3 0 | * 8 * x . o3x3o4o ♦ 48 | 24 192 | 0 96 64 128 | 0 32 64 32 16 | 0 0 16 8 2 | * * 3
x3o o3x3o *d3o . . . . . . | 72 | 2 8 | 1 16 4 4 4 | 8 8 8 8 2 2 2 | 4 4 4 4 4 4 1 | 2 2 2 2 ---------------+----+--------+-----------------+----------------------+---------------------+-------- x . . . . . | 2 | 72 * | 1 8 0 0 0 | 8 4 4 4 0 0 0 | 4 4 4 2 2 2 0 | 2 2 2 1 . . . x . . | 2 | * 288 | 0 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ---------------+----+--------+-----------------+----------------------+---------------------+-------- x3o . . . . | 3 | 3 0 | 24 * * * * ♦ 8 0 0 0 0 0 0 | 4 4 4 0 0 0 0 | 2 2 2 0 x . . x . . | 4 | 2 2 | * 288 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . o3x . . | 3 | 0 3 | * * 96 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x3o . | 3 | 0 3 | * * * 96 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . x . *d3o | 3 | 0 3 | * * * * 96 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ---------------+----+--------+-----------------+----------------------+---------------------+-------- x3o . x . . ♦ 6 | 6 3 | 2 3 0 0 0 | 96 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . o3x . . ♦ 6 | 3 6 | 0 3 2 0 0 | * 96 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x3o . ♦ 6 | 3 6 | 0 3 0 2 0 | * * 96 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . x . *d3o ♦ 6 | 3 6 | 0 3 0 0 2 | * * * 96 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . o3x3o . ♦ 6 | 0 12 | 0 0 4 4 0 | * * * * 24 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . o3x . *d3o ♦ 6 | 0 12 | 0 0 4 0 4 | * * * * * 24 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x3o *d3o ♦ 6 | 0 12 | 0 0 0 4 4 | * * * * * * 24 | 0 0 0 0 0 2 1 | 0 0 1 2 ---------------+----+--------+-----------------+----------------------+---------------------+-------- x3o o3x . . ♦ 9 | 9 9 | 3 9 3 0 0 | 3 3 0 0 0 0 0 | 32 * * * * * * | 1 1 0 0 x3o . x3o . ♦ 9 | 9 9 | 3 9 0 3 0 | 3 0 3 0 0 0 0 | * 32 * * * * * | 1 0 1 0 x3o . x . *d3o ♦ 9 | 9 9 | 3 9 0 0 3 | 3 0 0 3 0 0 0 | * * 32 * * * * | 0 1 1 0 x . o3x3o . ♦ 12 | 6 24 | 0 12 8 8 0 | 0 4 4 0 2 0 0 | * * * 24 * * * | 1 0 0 1 x . o3x . *d3o ♦ 12 | 6 24 | 0 12 8 0 8 | 0 4 0 4 0 2 0 | * * * * 24 * * | 0 1 0 1 x . . x3o *d3o ♦ 12 | 6 24 | 0 12 0 8 8 | 0 0 4 4 0 0 2 | * * * * * 24 * | 0 0 1 1 . . o3x3o *d3o ♦ 24 | 0 96 | 0 0 32 32 32 | 0 0 0 0 8 8 8 | * * * * * * 3 | 0 0 0 2 ---------------+----+--------+-----------------+----------------------+---------------------+-------- x3o o3x3o . ♦ 18 | 18 36 | 6 36 12 12 0 | 12 12 12 0 3 0 0 | 4 4 0 3 0 0 0 | 8 * * * x3o o3x . *d3o ♦ 18 | 18 36 | 6 36 12 0 12 | 12 12 0 12 0 3 0 | 4 0 4 0 3 0 0 | * 8 * * x3o . x3o *d3o ♦ 18 | 18 36 | 6 36 0 12 12 | 12 0 12 12 0 0 3 | 0 4 4 0 0 3 0 | * * 8 * x . o3x3o *d3o ♦ 48 | 24 192 | 0 96 64 64 64 | 0 32 32 32 16 16 16 | 0 0 0 8 8 8 2 | * * * 3
© 2004-2024 | top of page |