bicantitruncated penteract
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- general polytopal classes:
- Wythoffian polytera lace simplices partial Stott expansions
links
| Acronym | gibrant |
| Name |
great birhombated penteractitriacontiditeron, bicantitruncated penteract |
| Field of sections |
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| Circumradius | sqrt(23/2) = 3.391165 |
| Vertex figure |
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| Coordinates | (3/sqrt(2), 3/sqrt(2), sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
| Face vector | 960, 2400, 2160, 840, 122 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
o3x3x3x4o . . . . . | 960 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+-----+-------------+---------------------+-------------------+--------- . x . . . | 2 | 960 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 480 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 960 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+-----+-------------+---------------------+-------------------+--------- o3x . . . | 3 | 3 0 0 | 320 * * * * | 1 2 0 0 0 | 2 1 0 . x3x . . | 6 | 3 3 0 | * 320 * * * | 1 0 2 0 0 | 2 0 1 . x . x . | 4 | 2 0 2 | * * 960 * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 320 * | 0 0 2 0 1 | 1 0 2 . . . x4o | 4 | 0 0 4 | * * * * 240 | 0 0 0 2 1 | 0 1 2 ----------+-----+-------------+---------------------+-------------------+--------- o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 | 80 * * * * | 2 0 0 o3x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 | * 320 * * * | 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 4 0 | * * 160 * * | 1 0 1 . x . x4o ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * 240 * | 0 1 1 . . x3x4o ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * 40 | 0 0 2 ----------+-----+-------------+---------------------+-------------------+--------- o3x3x3x . ♦ 60 | 60 30 30 | 20 20 30 10 0 | 5 10 5 0 0 | 32 * * o3x . x4o ♦ 12 | 12 0 12 | 4 0 12 0 3 | 0 4 0 3 0 | * 80 * . x3x3x4o ♦ 192 | 96 96 192 | 0 32 96 64 48 | 0 0 16 24 8 | * * 10
o3x3x3x4/3o . . . . . | 960 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ------------+-----+-------------+---------------------+-------------------+--------- . x . . . | 2 | 960 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 480 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 960 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ------------+-----+-------------+---------------------+-------------------+--------- o3x . . . | 3 | 3 0 0 | 320 * * * * | 1 2 0 0 0 | 2 1 0 . x3x . . | 6 | 3 3 0 | * 320 * * * | 1 0 2 0 0 | 2 0 1 . x . x . | 4 | 2 0 2 | * * 960 * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 320 * | 0 0 2 0 1 | 1 0 2 . . . x4/3o | 4 | 0 0 4 | * * * * 240 | 0 0 0 2 1 | 0 1 2 ------------+-----+-------------+---------------------+-------------------+--------- o3x3x . . ♦ 12 | 12 6 0 | 4 4 0 0 0 | 80 * * * * | 2 0 0 o3x . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 | * 320 * * * | 1 1 0 . x3x3x . ♦ 24 | 12 12 12 | 0 4 6 4 0 | * * 160 * * | 1 0 1 . x . x4/3o ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * 240 * | 0 1 1 . . x3x4/3o ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * 40 | 0 0 2 ------------+-----+-------------+---------------------+-------------------+--------- o3x3x3x . ♦ 60 | 60 30 30 | 20 20 30 10 0 | 5 10 5 0 0 | 32 * * o3x . x4/3o ♦ 12 | 12 0 12 | 4 0 12 0 3 | 0 4 0 3 0 | * 80 * . x3x3x4/3o ♦ 192 | 96 96 192 | 0 32 96 64 48 | 0 0 16 24 8 | * * 10
x3x3x *b3x3o . . . . . | 960 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 -------------+-----+-----------------+-----------------------------+-------------------------+------------ x . . . . | 2 | 480 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 480 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 480 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 960 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 -------------+-----+-----------------+-----------------------------+-------------------------+------------ x3x . . . | 6 | 3 3 0 0 | 160 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 240 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 480 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 160 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . *b3x . | 6 | 0 3 0 3 | * * * * 320 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x x . | 4 | 0 0 2 2 | * * * * * 480 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x3o | 3 | 0 0 0 3 | * * * * * * 320 | 0 0 0 1 0 1 1 | 0 1 1 1 -------------+-----+-----------------+-----------------------------+-------------------------+------------ x3x3x . . ♦ 24 | 12 12 12 0 | 4 6 0 4 0 0 0 | 40 * * * * * * | 2 0 0 0 x3x . *b3x . ♦ 24 | 12 12 0 12 | 4 0 6 0 4 0 0 | * 80 * * * * * | 1 1 0 0 x . x x . ♦ 8 | 4 0 4 4 | 0 2 2 0 0 2 0 | * * 240 * * * * | 1 0 1 0 x . . x3o ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 2 | * * * 160 * * * | 0 1 1 0 . x3x *b3x . ♦ 24 | 0 12 12 12 | 0 0 0 4 4 6 0 | * * * * 80 * * | 1 0 0 1 . x . *b3x3o ♦ 12 | 0 6 0 12 | 0 0 0 0 4 0 4 | * * * * * 80 * | 0 1 0 1 . . x x3o ♦ 6 | 0 0 3 6 | 0 0 0 0 0 3 2 | * * * * * * 160 | 0 0 1 1 -------------+-----+-----------------+-----------------------------+-------------------------+------------ x3x3x *b3x . ♦ 192 | 96 96 96 96 | 32 48 48 32 32 48 0 | 8 8 24 0 8 0 0 | 10 * * * x3x . *b3x3o ♦ 60 | 30 30 0 60 | 10 0 30 0 20 0 20 | 0 5 0 10 0 5 0 | * 16 * * x . x x3o ♦ 12 | 6 0 6 12 | 0 3 6 0 0 6 4 | 0 0 3 2 0 0 2 | * * 80 * . x3x *b3x3o ♦ 60 | 0 30 30 60 | 0 0 0 10 20 30 20 | 0 0 0 0 5 5 10 | * * * 16
o3x3x3x4s
demi( . . . . . ) | 960 | 2 1 1 1 | 1 2 2 1 1 2 1 | 1 1 2 2 1 1 2 | 1 1 2 1
------------------+-----+-----------------+-----------------------------+-------------------------+------------
demi( . x . . . ) | 2 | 960 * * * | 1 1 1 0 0 1 0 | 1 1 1 1 0 1 1 | 1 1 1 1
demi( . . x . . ) | 2 | * 480 * * | 0 2 0 1 0 0 1 | 1 0 2 0 1 0 2 | 1 0 2 1
demi( . . . x . ) | 2 | * * 480 * | 0 0 2 1 1 0 0 | 0 1 2 2 1 0 0 | 1 1 2 0
sefa( . . . x4s ) | 2 | * * * 480 | 0 0 0 0 1 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
------------------+-----+-----------------+-----------------------------+-------------------------+------------
demi( o3x . . . ) | 3 | 3 0 0 0 | 320 * * * * * * | 1 1 0 0 0 1 0 | 1 1 0 1
demi( . x3x . . ) | 6 | 3 3 0 0 | * 320 * * * * * | 1 0 1 0 0 0 1 | 1 0 1 1
demi( . x . x . ) | 4 | 2 0 2 0 | * * 480 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
demi( . . x3x . ) | 6 | 0 3 3 0 | * * * 160 * * * | 0 0 2 0 1 0 0 | 1 0 2 0
. . . x4s | 4 | 0 0 2 2 | * * * * 240 * * | 0 0 0 2 1 0 0 | 0 1 2 0
sefa( . x 2 x4s ) | 4 | 2 0 0 2 | * * * * * 480 * | 0 0 0 1 0 1 1 | 0 1 1 1
sefa( . . x3x4s ) | 6 | 0 3 0 3 | * * * * * * 160 | 0 0 0 0 1 0 2 | 0 0 2 1
------------------+-----+-----------------+-----------------------------+-------------------------+------------
demi( o3x3x . . ) ♦ 12 | 12 6 0 0 | 4 4 0 0 0 0 0 | 80 * * * * * * | 1 0 0 1
demi( o3x . x . ) ♦ 6 | 6 0 3 0 | 2 0 3 0 0 0 0 | * 160 * * * * * | 1 1 0 0
demi( . x3x3x . ) ♦ 24 | 12 12 12 0 | 0 4 6 4 0 0 0 | * * 80 * * * * | 1 0 1 0
. x 2 x4s ♦ 8 | 4 0 4 4 | 0 0 2 0 2 2 0 | * * * 240 * * * | 0 1 1 0
. . x3x4s ♦ 24 | 0 12 12 12 | 0 0 0 4 6 0 4 | * * * * 40 * * | 0 0 2 0
sefa( o3x 2 x4s ) ♦ 6 | 6 0 0 3 | 2 0 0 0 0 3 0 | * * * * * 160 * | 0 1 0 1
sefa( . x3x3x4s ) ♦ 24 | 12 12 0 12 | 0 4 0 0 0 6 4 | * * * * * * 80 | 0 0 1 1
------------------+-----+-----------------+-----------------------------+-------------------------+------------
demi( o3x3x3x . ) ♦ 60 | 60 30 30 0 | 20 20 30 10 0 0 0 | 5 10 5 0 0 0 0 | 16 * * *
o3x 2 x4s ♦ 12 | 12 0 6 6 | 4 0 6 0 3 6 0 | 0 2 0 3 0 2 0 | * 80 * *
. x3x3x4s ♦ 192 | 96 96 96 96 | 0 32 48 32 48 48 32 | 0 0 8 24 8 0 8 | * * 10 *
sefa( o3x3x3x4s ) ♦ 60 | 60 30 0 30 | 20 20 0 0 0 30 10 | 5 0 0 0 0 10 5 | * * * 16
starting figure: o3x3x3x4x
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