| Acronym | tratah |
| Name | triangle - tesseractihexadecachoron duoprism |
| Circumradius | sqrt(26/6) = 2.198484 |
| Face vector | 288, 864, 1032, 624, 195, 27 |
| Confer |
|
Incidence matrix according to Dynkin symbol
x3o o3x3x4o o3o o3o3o4o | 288 | 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 | 288 * * | 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 4 1 2 2 0 | 2 2 1 . . . x . . | 2 | * 288 * | 0 2 0 1 2 0 | 1 0 2 4 0 2 1 | 1 2 0 4 2 1 | 2 1 2 . . . . x . | 2 | * * 288 | 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 | 96 * * * * * | 2 2 0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0 x . . x . . | 4 | 2 2 0 | * 288 * * * * | 1 0 1 2 0 0 0 | 1 2 0 2 1 0 | 2 1 1 x . . . x . | 4 | 2 0 2 | * * 288 * * * | 0 1 0 2 1 0 0 | 0 2 1 1 2 0 | 1 2 1 . . o3x . . | 3 | 0 3 0 | * * * 96 * * | 0 0 2 0 0 2 0 | 1 0 0 4 0 1 | 2 0 2 . . . x3x . | 6 | 0 3 3 | * * * * 192 * | 0 0 0 2 0 1 1 | 0 1 0 2 2 1 | 1 1 2 . . . . x4o | 4 | 0 0 4 | * * * * * 72 | 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 | 96 * * * * * * | 1 2 0 0 0 0 | 2 1 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 96 * * * * * | 0 2 1 0 0 0 | 1 2 0 x . o3x . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 96 * * * * | 1 0 0 2 0 0 | 2 0 1 x . . x3x . ♦ 12 | 6 6 6 | 0 3 3 0 2 0 | * * * 192 * * * | 0 1 0 1 1 0 | 1 1 1 x . . . x4o ♦ 8 | 4 0 8 | 0 0 4 0 0 2 | * * * * 72 * * | 0 0 1 0 2 0 | 0 2 1 . . o3x3x . ♦ 12 | 0 12 6 | 0 0 0 4 4 0 | * * * * * 48 * | 0 0 0 2 0 1 | 1 0 2 . . . x3x4o ♦ 24 | 0 12 24 | 0 0 0 0 8 6 | * * * * * * 24 | 0 0 0 0 2 1 | 0 1 2 ------------+-----+-------------+----------------------+-----------------------+------------------+------- x3o o3x . . ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 3 0 3 0 0 0 0 | 32 * * * * * | 2 0 0 x3o . x3x . ♦ 18 | 18 9 9 | 6 9 9 0 3 0 | 3 3 0 3 0 0 0 | * 64 * * * * | 1 1 0 x3o . . x4o ♦ 12 | 12 0 12 | 4 0 12 0 0 3 | 0 4 0 0 3 0 0 | * * 24 * * * | 0 2 0 x . o3x3x . ♦ 24 | 12 24 12 | 0 12 6 8 8 0 | 0 0 4 4 0 2 0 | * * * 48 * * | 1 0 1 x . . x3x4o ♦ 48 | 24 24 48 | 0 12 24 0 16 12 | 0 0 0 8 6 0 2 | * * * * 24 * | 0 1 1 . . o3x3x4o ♦ 96 | 0 96 96 | 0 0 0 32 64 24 | 0 0 0 0 0 16 8 | * * * * * 3 | 0 0 2 ------------+-----+-------------+----------------------+-----------------------+------------------+------- x3o o3x3x . ♦ 36 | 36 36 18 | 12 36 18 12 12 0 | 12 6 12 12 0 3 0 | 4 4 0 3 0 0 | 16 * * x3o . x3x4o ♦ 72 | 72 36 72 | 24 36 72 0 24 18 | 12 24 0 24 18 0 3 | 0 8 6 0 3 0 | * 8 * x . o3x3x4o ♦ 192 | 96 192 192 | 0 96 96 64 128 48 | 0 0 32 64 24 32 16 | 0 0 0 16 8 2 | * * 3
x3o x3x3x *d3o o3o o3o3o *d3o | 288 | 2 1 2 1 | 1 2 4 2 2 1 2 1 | 1 2 1 4 2 4 2 2 1 1 | 2 1 2 1 4 2 2 1 | 2 1 1 2 ---------------+-----+-----------------+----------------------------+-------------------------------+------------------------+-------- x . . . . . | 2 | 288 * * * | 1 1 2 1 0 0 0 0 | 1 2 1 2 1 2 1 0 0 0 | 2 1 2 1 2 1 1 0 | 2 1 1 1 . . x . . . | 2 | * 144 * * | 0 2 0 0 2 1 0 0 | 1 0 0 4 2 0 0 2 1 0 | 2 1 0 0 4 2 0 1 | 2 1 0 2 . . . x . . | 2 | * * 288 * | 0 0 2 0 1 0 1 1 | 0 1 0 2 0 2 2 1 1 1 | 1 0 1 1 2 2 2 1 | 1 1 1 2 . . . . x . | 2 | * * * 144 | 0 0 0 2 0 1 2 0 | 0 0 1 0 2 4 0 2 0 1 | 0 1 2 0 4 0 2 1 | 2 0 1 2 ---------------+-----+-----------------+----------------------------+-------------------------------+------------------------+-------- x3o . . . . | 3 | 3 0 0 0 | 96 * * * * * * * | 1 2 1 0 0 0 0 0 0 0 | 2 1 2 1 0 0 0 0 | 2 1 1 0 x . x . . . | 4 | 2 2 0 0 | * 144 * * * * * * | 1 0 0 2 1 0 0 0 0 0 | 2 1 0 0 2 1 0 0 | 2 1 0 1 x . . x . . | 4 | 2 0 2 0 | * * 288 * * * * * | 0 1 0 1 0 1 1 0 0 0 | 1 0 1 1 1 1 1 0 | 1 1 1 1 x . . . x . | 4 | 2 0 0 2 | * * * 144 * * * * | 0 0 1 0 1 2 0 0 0 0 | 0 1 2 0 2 0 1 0 | 2 0 1 1 . . x3x . . | 6 | 0 3 3 0 | * * * * 96 * * * | 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 0 2 | * * * * * 72 * * | 0 0 0 0 2 0 0 2 0 0 | 0 1 0 0 4 0 0 1 | 2 0 0 2 . . . x3x . | 6 | 0 0 3 3 | * * * * * * 96 * | 0 0 0 0 0 2 0 1 0 1 | 0 0 1 0 2 0 2 1 | 1 0 1 2 . . . x . *d3o | 3 | 0 0 3 0 | * * * * * * * 96 | 0 0 0 0 0 0 2 0 1 1 | 0 0 0 1 0 2 2 1 | 0 1 1 2 ---------------+-----+-----------------+----------------------------+-------------------------------+------------------------+-------- x3o x . . . ♦ 6 | 6 3 0 0 | 2 3 0 0 0 0 0 0 | 48 * * * * * * * * * | 2 1 0 0 0 0 0 0 | 2 1 0 0 x3o . x . . ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 0 | * 96 * * * * * * * * | 1 0 1 1 0 0 0 0 | 1 1 1 0 x3o . . x . ♦ 6 | 6 0 0 3 | 2 0 0 3 0 0 0 0 | * * 48 * * * * * * * | 0 1 2 0 0 0 0 0 | 2 0 1 0 x . x3x . . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 0 | * * * 96 * * * * * * | 1 0 0 0 1 1 0 0 | 1 1 0 1 x . x . x . ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 0 | * * * * 72 * * * * * | 0 1 0 0 2 0 0 0 | 2 0 0 1 x . . x3x . ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 2 0 | * * * * * 96 * * * * | 0 0 1 0 1 0 1 0 | 1 0 1 1 x . . x . *d3o ♦ 6 | 3 0 6 0 | 0 0 3 0 0 0 0 2 | * * * * * * 96 * * * | 0 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x3x . ♦ 24 | 0 12 12 12 | 0 0 0 0 4 6 4 0 | * * * * * * * 24 * * | 0 0 0 0 2 0 0 1 | 1 0 0 2 . . x3x . *d3o ♦ 12 | 0 6 12 0 | 0 0 0 0 4 0 0 4 | * * * * * * * * 24 * | 0 0 0 0 0 2 0 1 | 0 1 0 2 . . . x3x *d3o ♦ 12 | 0 0 12 6 | 0 0 0 0 0 0 4 4 | * * * * * * * * * 24 | 0 0 0 0 0 0 2 1 | 0 0 1 2 ---------------+-----+-----------------+----------------------------+-------------------------------+------------------------+-------- x3o x3x . . ♦ 18 | 18 9 9 0 | 6 9 9 0 3 0 0 0 | 3 3 0 3 0 0 0 0 0 0 | 32 * * * * * * * | 1 1 0 0 x3o x . x . ♦ 12 | 12 6 0 6 | 4 6 0 6 0 3 0 0 | 2 0 2 0 3 0 0 0 0 0 | * 24 * * * * * * | 2 0 0 0 x3o . x3x . ♦ 18 | 18 0 9 9 | 6 0 9 9 0 0 3 0 | 0 3 3 0 0 3 0 0 0 0 | * * 32 * * * * * | 1 0 1 0 x3o . x . *d3o ♦ 9 | 9 0 9 0 | 3 0 9 0 0 0 0 3 | 0 3 0 0 0 0 3 0 0 0 | * * * 32 * * * * | 0 1 1 0 x . x3x3x . ♦ 48 | 24 24 24 24 | 0 12 12 12 8 12 8 0 | 0 0 0 4 6 4 0 2 0 0 | * * * * 24 * * * | 1 0 0 1 x . x3x . *d3o ♦ 24 | 12 12 24 0 | 0 6 12 0 8 0 0 8 | 0 0 0 4 0 0 4 0 2 0 | * * * * * 24 * * | 0 1 0 1 x . . x3x *d3o ♦ 24 | 12 0 24 12 | 0 0 12 6 0 0 8 8 | 0 0 0 0 0 4 4 0 0 2 | * * * * * * 24 * | 0 0 1 1 . . x3x3x *d3o ♦ 96 | 0 48 96 48 | 0 0 0 0 32 24 32 32 | 0 0 0 0 0 0 0 8 8 8 | * * * * * * * 3 | 0 0 0 2 ---------------+-----+-----------------+----------------------------+-------------------------------+------------------------+-------- x3o x3x3x . ♦ 72 | 72 36 36 36 | 24 36 36 36 12 18 12 0 | 12 12 12 12 18 12 0 3 0 0 | 4 6 4 0 3 0 0 0 | 8 * * * x3o x3x . *d3o ♦ 36 | 36 18 36 0 | 12 18 36 0 12 0 0 12 | 6 12 0 12 0 0 12 0 3 0 | 4 0 0 4 0 3 0 0 | * 8 * * x3o . x3x *d3o ♦ 36 | 36 0 36 18 | 12 0 36 18 0 0 12 12 | 0 12 6 0 0 12 12 0 0 3 | 0 0 4 4 0 0 3 0 | * * 8 * x . x3x3x *d3o ♦ 192 | 96 96 192 96 | 0 48 96 48 64 48 64 64 | 0 0 0 32 24 32 32 16 16 16 | 0 0 0 0 8 8 8 2 | * * * 3
© 2004-2024 | top of page |