cantitruncated demipenteract,
runcicantic penteract
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©
- general polytopal classes:
- Wythoffian polytera lace simplices partial Stott expansions
links
| Acronym | girhin |
| Name |
great rhombated hemipenteract, cantitruncated demipenteract, runcicantic penteract |
| Field of sections |
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| Circumradius | sqrt(61/8) = 2.761340 |
| Vertex figure |
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| Coordinates | (5/sqrt(8), 5/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 480, 1200, 1040, 360, 42 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3x3o *b3x3o . . . . . | 480 | 1 2 2 | 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 -------------+-----+-------------+---------------------+----------------+--------- x . . . . | 2 | 240 * * | 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . x . . . | 2 | * 480 * | 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x . | 2 | * * 480 | 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 -------------+-----+-------------+---------------------+----------------+--------- x3x . . . | 6 | 3 3 0 | 160 * * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 0 2 | * 240 * * * | 0 2 1 0 0 | 1 2 0 . x3o . . | 3 | 0 3 0 | * * 160 * * | 1 0 0 2 0 | 2 0 1 . x . *b3x . | 6 | 0 3 3 | * * * 320 * | 0 1 0 1 1 | 1 1 1 . . . x3o | 3 | 0 0 3 | * * * * 160 | 0 0 1 0 2 | 0 2 1 -------------+-----+-------------+---------------------+----------------+--------- x3x3o . . ♦ 12 | 6 12 0 | 4 0 4 0 0 | 40 * * * * | 2 0 0 x3x . *b3x . ♦ 24 | 12 12 12 | 4 6 0 4 0 | * 80 * * * | 1 1 0 x . . x3o ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 80 * * | 0 2 0 . x3o *b3x . ♦ 12 | 0 12 6 | 0 0 4 4 0 | * * * 80 * | 1 0 1 . x . *b3x3o ♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * 80 | 0 1 1 -------------+-----+-------------+---------------------+----------------+--------- x3x3o *b3x . ♦ 96 | 48 96 48 | 32 24 32 32 0 | 8 8 0 8 0 | 10 * * x3x . *b3x3o ♦ 60 | 30 30 60 | 10 30 0 20 20 | 0 5 10 0 5 | * 16 * . x3o *b3x3o ♦ 30 | 0 30 30 | 0 0 10 20 10 | 0 0 0 5 5 | * * 16
o3x3x3o4s
demi( . . . . . ) | 480 | 2 2 1 | 1 4 1 2 2 | 2 2 1 1 4 | 1 2 2
------------------+-----+-------------+---------------------+----------------+---------
demi( . x . . . ) | 2 | 480 * * | 1 2 0 1 0 | 2 1 1 0 2 | 1 1 2
demi( . . x . . ) | 2 | * 480 * | 0 2 1 0 1 | 1 2 0 1 2 | 1 2 1
. . . o4s | 2 | * * 240 | 0 0 0 2 2 | 0 0 1 1 4 | 0 2 2
------------------+-----+-------------+---------------------+----------------+---------
demi( o3x . . . ) | 3 | 3 0 0 | 160 * * * * | 2 0 1 0 0 | 1 0 2
demi( . x3x . . ) | 6 | 3 3 0 | * 320 * * * | 1 1 0 0 1 | 1 1 1
demi( . . x3o . ) | 3 | 0 3 0 | * * 160 * * | 0 2 0 1 0 | 1 2 0
. x 2 o4s | 4 | 2 0 2 | * * * 240 * | 0 0 1 0 2 | 0 1 2
sefa( . . x3o4s ) | 6 | 0 3 3 | * * * * 160 | 0 0 0 1 2 | 0 2 1
------------------+-----+-------------+---------------------+----------------+---------
demi( o3x3x . . ) ♦ 12 | 12 6 0 | 4 4 0 0 0 | 80 * * * * | 1 0 1
demi( . x3x3o . ) ♦ 12 | 6 12 0 | 0 4 4 0 0 | * 80 * * * | 1 1 0
o3x 2 o4s ♦ 6 | 6 0 3 | 2 0 0 3 0 | * * 80 * * | 0 0 2
. . x3o4s ♦ 12 | 0 12 6 | 0 0 4 0 4 | * * * 40 * | 0 2 0
sefa( . x3x3o4s ) ♦ 24 | 12 12 12 | 0 4 0 6 4 | * * * * 80 | 0 1 1
------------------+-----+-------------+---------------------+----------------+---------
demi( o3x3x3o . ) ♦ 30 | 30 30 0 | 10 20 10 0 0 | 5 5 0 0 0 | 16 * *
. x3x3o4s ♦ 96 | 48 96 48 | 0 32 32 24 32 | 0 8 0 8 8 | * 10 *
sefa( o3x3x3o4s ) ♦ 60 | 60 30 30 | 20 20 0 30 10 | 5 0 10 0 5 | * * 16
starting figure: o3x3x3o4x
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