Acronym | twacube |
Name | dodecagon - cube duoprism |
Circumradius | sqrt[11+4 sqrt(3)]/2 = 2.117085 |
Face vector | 96, 240, 224, 96, 18 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
x12o o3o4x . . . . . | 96 | 2 3 | 1 6 3 | 3 6 1 | 3 2 -----------+----+--------+----------+----------+----- x . . . . | 2 | 96 * | 1 3 0 | 3 3 0 | 3 1 . . . . x | 2 | * 144 | 0 2 2 | 1 4 1 | 2 2 -----------+----+--------+----------+----------+----- x12o . . . | 12 | 12 0 | 8 * * | 3 0 0 | 3 0 x . . . x | 4 | 2 2 | * 144 * | 1 2 0 | 2 1 . . . o4x | 4 | 0 4 | * * 72 | 0 2 1 | 1 2 -----------+----+--------+----------+----------+----- x12o . . x ♦ 24 | 24 12 | 2 12 0 | 12 * * | 2 0 x . . o4x ♦ 8 | 4 8 | 0 4 2 | * 72 * | 1 1 . . o3o4x ♦ 8 | 0 12 | 0 0 6 | * * 12 | 0 2 -----------+----+--------+----------+----------+----- x12o . o4x ♦ 48 | 48 48 | 4 48 12 | 4 12 0 | 6 * x . o3o4x ♦ 16 | 8 24 | 0 12 12 | 0 6 2 | * 12
x6x o3o4x . . . . . | 96 | 1 1 3 | 1 3 3 3 | 3 3 3 1 | 3 1 1 ----------+----+-----------+------------+-------------+------ x . . . . | 2 | 48 * * | 1 3 0 0 | 3 3 0 0 | 3 1 0 . x . . . | 2 | * 48 * | 1 0 3 0 | 3 0 3 0 | 3 0 1 . . . . x | 2 | * * 144 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ----------+----+-----------+------------+-------------+------ x6x . . . | 12 | 6 6 0 | 8 * * * | 3 0 0 0 | 3 0 0 x . . . x | 4 | 2 0 2 | * 72 * * | 1 2 0 0 | 2 1 0 . x . . x | 4 | 0 2 2 | * * 72 * | 1 0 2 0 | 2 0 1 . . . o4x | 4 | 0 0 4 | * * * 72 | 0 1 1 1 | 1 1 1 ----------+----+-----------+------------+-------------+------ x6x . . x ♦ 24 | 12 12 12 | 2 6 6 0 | 12 * * * | 2 0 0 x . . o4x ♦ 8 | 4 0 8 | 0 4 0 2 | * 36 * * | 1 1 0 . x . o4x ♦ 8 | 0 4 8 | 0 0 4 2 | * * 36 * | 1 0 1 . . o3o4x ♦ 8 | 0 0 12 | 0 0 0 6 | * * * 12 | 0 1 1 ----------+----+-----------+------------+-------------+------ x6x . o4x ♦ 48 | 24 24 48 | 4 24 24 12 | 4 6 6 0 | 6 * * x . o3o4x ♦ 16 | 8 0 24 | 0 12 0 12 | 0 6 0 2 | * 6 * . x o3o4x ♦ 16 | 0 8 24 | 0 0 12 12 | 0 0 6 2 | * * 6 snubbed forms: s6x2o3o4s
x x4o x12o . . . . . | 96 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 -----------+----+----------+---------------+--------------+------- x . . . . | 2 | 48 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 96 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 96 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 -----------+----+----------+---------------+--------------+------- x x . . . | 4 | 2 2 0 | 48 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 48 * * * | 0 2 1 0 0 | 1 2 0 . x4o . . | 4 | 0 4 0 | * * 24 * * | 1 0 0 2 0 | 2 0 1 . x . x . | 4 | 0 2 2 | * * * 96 * | 0 1 0 1 1 | 1 1 1 . . . x12o | 12 | 0 0 12 | * * * * 8 | 0 0 1 0 2 | 0 2 1 -----------+----+----------+---------------+--------------+------- x x4o . . ♦ 8 | 4 8 0 | 4 0 2 0 0 | 12 * * * * | 2 0 0 x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 48 * * * | 1 1 0 x . . x12o ♦ 24 | 12 0 24 | 0 12 0 0 2 | * * 4 * * | 0 2 0 . x4o x . ♦ 8 | 0 8 4 | 0 0 2 4 0 | * * * 24 * | 1 0 1 . x . x12o ♦ 24 | 0 12 24 | 0 0 0 12 2 | * * * * 8 | 0 1 1 -----------+----+----------+---------------+--------------+------- x x4o x . ♦ 16 | 8 16 8 | 8 4 4 8 0 | 2 4 0 2 0 | 12 * * x x . x12o ♦ 48 | 24 24 48 | 12 24 0 24 4 | 0 12 2 0 2 | * 4 * . x4o x12o ♦ 48 | 0 48 48 | 0 0 12 48 4 | 0 0 0 12 4 | * * 2
© 2004-2024 | top of page |