| Acronym | cubedoe |
| Name | cube-dodecahedron duoprism |
| Circumradius | sqrt[(15+3 sqrt(5))/8] = 1.647278 |
| Face vector | 160, 480, 576, 352, 114, 18 |
| Confer |
|
Incidence matrix according to Dynkin symbol
o3o4x o3o5x . . . . . . | 160 | 3 3 | 3 9 3 | 1 9 9 1 | 3 9 3 | 3 3 ------------+-----+---------+------------+--------------+----------+----- . . x . . . | 2 | 240 * | 2 3 0 | 1 6 3 0 | 3 6 1 | 3 2 . . . . . x | 2 | * 240 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3 ------------+-----+---------+------------+--------------+----------+----- . o4x . . . | 4 | 4 0 | 120 * * | 1 3 0 0 | 3 3 0 | 3 1 . . x . . x | 4 | 2 2 | * 360 * | 0 2 2 0 | 1 4 1 | 2 2 . . . . o5x | 5 | 0 5 | * * 96 | 0 0 3 1 | 0 3 3 | 1 3 ------------+-----+---------+------------+--------------+----------+----- o3o4x . . . ♦ 8 | 12 0 | 6 0 0 | 20 * * * | 3 0 0 | 3 0 . o4x . . x ♦ 8 | 8 4 | 2 4 0 | * 180 * * | 1 2 0 | 2 1 . . x . o5x ♦ 10 | 5 10 | 0 5 2 | * * 144 * | 0 2 1 | 1 2 . . . o3o5x ♦ 20 | 0 30 | 0 0 12 | * * * 8 | 0 0 3 | 0 3 ------------+-----+---------+------------+--------------+----------+----- o3o4x . . x ♦ 16 | 24 8 | 12 12 0 | 2 6 0 0 | 30 * * | 2 0 . o4x . o5x ♦ 20 | 20 20 | 5 20 4 | 0 5 4 0 | * 72 * | 1 1 . . x o3o5x ♦ 40 | 20 60 | 0 30 24 | 0 0 12 2 | * * 12 | 0 2 ------------+-----+---------+------------+--------------+----------+----- o3o4x . o5x ♦ 40 | 60 40 | 30 60 8 | 5 30 12 0 | 5 6 0 | 12 * . o4x o3o5x ♦ 80 | 80 120 | 20 120 48 | 0 30 48 4 | 0 12 4 | * 6
x x4o o3o5x . . . . . . | 160 | 1 2 3 | 2 3 1 6 3 | 1 6 3 3 6 1 | 3 6 1 3 2 | 3 2 1 ------------+-----+------------+------------------+-------------------+--------------+------- x . . . . . | 2 | 80 * * | 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0 . x . . . . | 2 | * 160 * | 0 0 2 3 0 | 1 3 0 3 3 0 | 3 3 0 3 1 | 3 1 1 . . . . . x | 2 | * * 240 | 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ------------+-----+------------+------------------+-------------------+--------------+------- x x . . . . | 4 | 2 2 0 | 80 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . . . . x | 4 | 2 0 2 | * 120 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x4o . . . | 4 | 0 4 0 | * * 40 * * | 1 0 0 3 0 0 | 3 0 0 3 0 | 3 0 1 . x . . . x | 4 | 0 2 2 | * * * 240 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . . o5x | 5 | 0 0 5 | * * * * 96 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ------------+-----+------------+------------------+-------------------+--------------+------- x x4o . . . ♦ 8 | 4 8 0 | 4 0 2 0 0 | 20 * * * * * | 3 0 0 0 0 | 3 0 0 x x . . . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 120 * * * * | 1 2 0 0 0 | 2 1 0 x . . . o5x ♦ 10 | 5 0 10 | 0 5 0 0 2 | * * 48 * * * | 0 2 1 0 0 | 1 2 0 . x4o . . x ♦ 8 | 0 8 4 | 0 0 2 4 0 | * * * 60 * * | 1 0 0 2 0 | 2 0 1 . x . . o5x ♦ 10 | 0 5 10 | 0 0 0 5 2 | * * * * 96 * | 0 1 0 1 1 | 1 1 1 . . . o3o5x ♦ 20 | 0 0 30 | 0 0 0 0 12 | * * * * * 8 | 0 0 1 0 2 | 0 2 1 ------------+-----+------------+------------------+-------------------+--------------+------- x x4o . . x ♦ 16 | 8 16 8 | 8 4 4 8 0 | 2 4 0 2 0 0 | 30 * * * * | 2 0 0 x x . . o5x ♦ 20 | 10 10 20 | 5 10 0 10 4 | 0 5 2 0 2 0 | * 48 * * * | 1 1 0 x . . o3o5x ♦ 40 | 20 0 60 | 0 30 0 0 24 | 0 0 12 0 0 2 | * * 4 * * | 0 2 0 . x4o . o5x ♦ 20 | 0 20 20 | 0 0 5 20 4 | 0 0 0 5 4 0 | * * * 24 * | 1 0 1 . x . o3o5x ♦ 40 | 0 20 60 | 0 0 0 30 24 | 0 0 0 0 12 2 | * * * * 8 | 0 1 1 ------------+-----+------------+------------------+-------------------+--------------+------- x x4o . o5x ♦ 40 | 20 40 40 | 20 20 10 40 8 | 5 20 4 10 8 0 | 5 4 0 2 0 | 12 * * x x . o3o5x ♦ 80 | 40 40 120 | 20 60 0 60 48 | 0 30 24 0 24 4 | 0 12 2 0 2 | * 4 * . x4o o3o5x ♦ 80 | 0 80 120 | 0 0 20 120 48 | 0 0 0 30 48 4 | 0 0 0 12 4 | * * 2
x x x o3o5x . . . . . . | 160 | 1 1 1 3 | 1 1 3 1 3 3 3 | 1 3 3 3 3 3 3 1 | 3 3 3 1 3 1 1 | 3 1 1 1 ------------+-----+--------------+-------------------------+------------------------+-------------------+--------- x . . . . . | 2 | 80 * * * | 1 1 3 0 0 0 0 | 1 3 3 3 0 0 0 0 | 3 3 3 1 0 0 0 | 3 1 1 0 . x . . . . | 2 | * 80 * * | 0 0 0 2 3 0 0 | 1 3 0 0 3 3 0 0 | 3 3 0 0 3 1 0 | 3 1 0 1 . . x . . . | 2 | * * 80 * | 0 0 0 2 0 3 0 | 1 0 3 0 3 0 3 0 | 3 0 3 0 3 0 1 | 3 0 1 1 . . . . . x | 2 | * * * 240 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ------------+-----+--------------+-------------------------+------------------------+-------------------+--------- x x . . . . | 4 | 2 2 0 0 | 40 * * * * * * | 1 3 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 3 1 0 0 x . x . . . | 4 | 2 0 2 0 | * 40 * * * * * | 1 0 3 0 0 0 0 0 | 3 0 3 0 0 0 0 | 3 0 1 0 x . . . . x | 4 | 2 0 0 2 | * * 120 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x x . . . | 4 | 0 2 2 0 | * * * 40 * * * | 1 0 0 0 3 0 0 0 | 3 0 0 0 3 0 0 | 3 0 0 1 . x . . . x | 4 | 0 2 0 2 | * * * * 120 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . x | 4 | 0 0 2 2 | * * * * * 120 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . . o5x | 5 | 0 0 0 5 | * * * * * * 96 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ------------+-----+--------------+-------------------------+------------------------+-------------------+--------- x x x . . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 | 20 * * * * * * * | 3 0 0 0 0 0 0 | 3 0 0 0 x x . . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 60 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 2 0 | * * 60 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . . o5x ♦ 10 | 5 0 0 10 | 0 0 5 0 0 0 2 | * * * 48 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . x ♦ 8 | 0 4 4 4 | 0 0 0 2 2 2 0 | * * * * 60 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . . o5x ♦ 10 | 0 5 0 10 | 0 0 0 0 5 0 2 | * * * * * 48 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x . o5x ♦ 10 | 0 0 5 10 | 0 0 0 0 0 5 2 | * * * * * * 48 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . o3o5x ♦ 20 | 0 0 0 30 | 0 0 0 0 0 0 12 | * * * * * * * 8 | 0 0 0 1 0 1 1 | 0 1 1 1 ------------+-----+--------------+-------------------------+------------------------+-------------------+--------- x x x . . x ♦ 16 | 8 8 8 8 | 4 4 4 4 4 4 0 | 2 2 2 0 2 0 0 0 | 30 * * * * * * | 2 0 0 0 x x . . o5x ♦ 20 | 10 10 0 20 | 5 0 10 0 10 0 4 | 0 5 0 2 0 2 0 0 | * 24 * * * * * | 1 1 0 0 x . x . o5x ♦ 20 | 10 0 10 20 | 0 5 10 0 0 10 4 | 0 0 5 2 0 0 2 0 | * * 24 * * * * | 1 0 1 0 x . . o3o5x ♦ 40 | 20 0 0 60 | 0 0 30 0 0 0 24 | 0 0 0 12 0 0 0 2 | * * * 4 * * * | 0 1 1 0 . x x . o5x ♦ 20 | 0 10 10 20 | 0 0 0 5 10 10 4 | 0 0 0 0 5 2 2 0 | * * * * 24 * * | 1 0 0 1 . x . o3o5x ♦ 40 | 0 20 0 60 | 0 0 0 0 30 0 24 | 0 0 0 0 0 12 0 2 | * * * * * 4 * | 0 1 0 1 . . x o3o5x ♦ 40 | 0 0 20 60 | 0 0 0 0 0 30 24 | 0 0 0 0 0 0 12 2 | * * * * * * 4 | 0 0 1 1 ------------+-----+--------------+-------------------------+------------------------+-------------------+--------- x x x . o5x ♦ 40 | 20 20 20 40 | 10 10 20 10 20 20 8 | 5 10 10 4 10 4 4 0 | 5 2 2 0 2 0 0 | 12 * * * x x . o3o5x ♦ 80 | 40 40 0 120 | 20 0 60 0 60 0 48 | 0 30 0 24 0 24 0 4 | 0 12 0 2 0 2 0 | * 2 * * x . x o3o5x ♦ 80 | 40 0 40 120 | 0 20 60 0 0 60 48 | 0 0 30 24 0 0 24 4 | 0 0 12 2 0 0 2 | * * 2 * . x x o3o5x ♦ 80 | 0 40 40 120 | 0 0 0 20 60 60 48 | 0 0 0 0 30 24 24 4 | 0 0 0 0 12 2 2 | * * * 2
© 2004-2024 | top of page |