Acronym | gart |
Name |
great rhombated triacontiditeron, cantitruncated pentacross |
Field of sections |
© |
Circumradius | sqrt(7) = 2.645751 |
Vertex figure |
© © |
Coordinates | (3/sqrt(2), sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign |
Face vector | 480, 1440, 1520, 640, 82 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x3x3x3o4o . . . . . | 480 | 1 1 4 | 1 4 4 4 | 4 4 4 1 | 4 1 1 ----------+-----+-------------+----------------+---------------+--------- x . . . . | 2 | 240 * * | 1 4 0 0 | 4 4 0 0 | 4 1 0 . x . . . | 2 | * 240 * | 1 0 4 0 | 4 0 4 0 | 4 0 1 . . x . . | 2 | * * 960 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ----------+-----+-------------+----------------+---------------+--------- x3x . . . | 6 | 3 3 0 | 80 * * * | 4 0 0 0 | 4 0 0 x . x . . | 4 | 2 0 2 | * 480 * * | 1 2 0 0 | 2 1 0 . x3x . . | 6 | 0 3 3 | * * 320 * | 1 0 2 0 | 2 0 1 . . x3o . | 3 | 0 0 3 | * * * 640 | 0 1 1 1 | 1 1 1 ----------+-----+-------------+----------------+---------------+--------- x3x3x . . ♦ 24 | 12 12 12 | 4 6 4 0 | 80 * * * | 2 0 0 x . x3o . ♦ 6 | 3 0 6 | 0 3 0 2 | * 320 * * | 1 1 0 . x3x3o . ♦ 12 | 0 6 12 | 0 0 4 4 | * * 160 * | 1 0 1 . . x3o4o ♦ 6 | 0 0 12 | 0 0 0 8 | * * * 80 | 0 1 1 ----------+-----+-------------+----------------+---------------+--------- x3x3x3o . ♦ 60 | 30 30 60 | 10 30 20 20 | 5 10 5 0 | 32 * * x . x3o4o ♦ 12 | 6 0 24 | 0 12 0 16 | 0 8 0 2 | * 40 * . x3x3o4o ♦ 48 | 0 24 96 | 0 0 32 64 | 0 0 16 8 | * * 10
x3x3x3o4/3o . . . . . | 480 | 1 1 4 | 1 4 4 4 | 4 4 4 1 | 4 1 1 ------------+-----+-------------+----------------+---------------+--------- x . . . . | 2 | 240 * * | 1 4 0 0 | 4 4 0 0 | 4 1 0 . x . . . | 2 | * 240 * | 1 0 4 0 | 4 0 4 0 | 4 0 1 . . x . . | 2 | * * 960 | 0 1 1 2 | 1 2 2 1 | 2 1 1 ------------+-----+-------------+----------------+---------------+--------- x3x . . . | 6 | 3 3 0 | 80 * * * | 4 0 0 0 | 4 0 0 x . x . . | 4 | 2 0 2 | * 480 * * | 1 2 0 0 | 2 1 0 . x3x . . | 6 | 0 3 3 | * * 320 * | 1 0 2 0 | 2 0 1 . . x3o . | 3 | 0 0 3 | * * * 640 | 0 1 1 1 | 1 1 1 ------------+-----+-------------+----------------+---------------+--------- x3x3x . . ♦ 24 | 12 12 12 | 4 6 4 0 | 80 * * * | 2 0 0 x . x3o . ♦ 6 | 3 0 6 | 0 3 0 2 | * 320 * * | 1 1 0 . x3x3o . ♦ 12 | 0 6 12 | 0 0 4 4 | * * 160 * | 1 0 1 . . x3o4/3o ♦ 6 | 0 0 12 | 0 0 0 8 | * * * 80 | 0 1 1 ------------+-----+-------------+----------------+---------------+--------- x3x3x3o . ♦ 60 | 30 30 60 | 10 30 20 20 | 5 10 5 0 | 32 * * x . x3o4/3o ♦ 12 | 6 0 24 | 0 12 0 16 | 0 8 0 2 | * 40 * . x3x3o4/3o ♦ 48 | 0 24 96 | 0 0 32 64 | 0 0 16 8 | * * 10
o3x3o *b3x3x . . . . . | 480 | 4 1 1 | 2 2 4 4 1 | 1 2 2 2 2 4 | 1 1 2 2 -------------+-----+-------------+--------------------+---------------------+------------ . x . . . | 2 | 960 * * | 1 1 1 1 0 | 1 1 1 1 1 1 | 1 1 1 1 . . . x . | 2 | * 240 * | 0 0 4 0 1 | 0 2 0 2 0 4 | 1 0 2 2 . . . . x | 2 | * * 240 | 0 0 0 4 1 | 0 0 2 0 2 4 | 0 1 2 2 -------------+-----+-------------+--------------------+---------------------+------------ o3x . . . | 3 | 3 0 0 | 320 * * * * | 1 1 1 0 0 0 | 1 1 1 0 . x3o . . | 3 | 3 0 0 | * 320 * * * | 1 0 0 1 1 0 | 1 1 0 1 . x . *b3x . | 6 | 3 3 0 | * * 320 * * | 0 1 0 1 0 1 | 1 0 1 1 . x . . x | 4 | 2 0 2 | * * * 480 * | 0 0 1 0 1 1 | 0 1 1 1 . . . x3x | 6 | 0 3 3 | * * * * 80 | 0 0 0 0 0 4 | 0 0 2 2 -------------+-----+-------------+--------------------+---------------------+------------ o3x3o . . ♦ 6 | 12 0 0 | 4 4 0 0 0 | 80 * * * * * | 1 1 0 0 o3x . *b3x . ♦ 12 | 12 6 0 | 4 0 4 0 0 | * 80 * * * * | 1 0 1 0 o3x . . x ♦ 6 | 6 0 3 | 2 0 0 3 0 | * * 160 * * * | 0 1 1 0 . x3o *b3x . ♦ 12 | 12 6 0 | 0 4 4 0 0 | * * * 80 * * | 1 0 0 1 . x3o . x ♦ 6 | 6 0 3 | 0 2 0 3 0 | * * * * 160 * | 0 1 0 1 . x . *b3x3x ♦ 24 | 12 12 12 | 0 0 4 6 4 | * * * * * 80 | 0 0 1 1 -------------+-----+-------------+--------------------+---------------------+------------ o3x3o *b3x . ♦ 48 | 96 24 0 | 32 32 32 0 0 | 8 8 0 8 0 0 | 10 * * * o3x3o . x ♦ 12 | 24 0 6 | 8 8 0 12 0 | 2 0 4 0 4 0 | * 40 * * o3x . *b3x3x ♦ 60 | 60 30 30 | 20 0 20 30 10 | 0 5 10 0 0 5 | * * 16 * . x3o *b3x3x ♦ 60 | 60 30 30 | 0 20 20 30 10 | 0 0 0 5 10 5 | * * * 16
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