cantellated demihexeract,
runcic hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | sirhax |
| Name |
small rhombated hemihexeract, cantellated demihexeract, runcic hexeract |
| Circumradius | sqrt(15)/2 = 1.936492 |
| Coordinates | (3/sqrt(8), 3/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 640, 3840, 5920, 3520, 876, 76 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o *b3x3o3o . . . . . . | 640 | 3 9 | 3 9 9 9 | 1 9 9 3 9 3 | 3 9 3 3 3 | 3 3 1 ---------------+-----+----------+--------------------+-------------------------+--------------------+--------- x . . . . . | 2 | 960 * | 2 3 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0 . . . x . . | 2 | * 2880 | 0 1 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ---------------+-----+----------+--------------------+-------------------------+--------------------+--------- x3o . . . . | 3 | 3 0 | 640 * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . . x . . | 4 | 2 2 | * 1440 * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . o . *b3x . . | 3 | 0 3 | * * 1920 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o . | 3 | 0 3 | * * * 1920 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ---------------+-----+----------+--------------------+-------------------------+--------------------+--------- x3o3o . . . ♦ 4 | 6 0 | 4 0 0 0 | 160 * * * * * | 3 0 0 0 0 | 3 0 0 x3o . *b3x . . ♦ 12 | 12 12 | 4 6 4 0 | * 480 * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o . ♦ 6 | 3 6 | 0 3 0 2 | * * 960 * * * | 0 2 1 0 0 | 1 2 0 . o3o *b3x . . ♦ 4 | 0 6 | 0 0 4 0 | * * * 480 * * | 1 0 0 2 0 | 2 0 1 . o . *b3x3o . ♦ 6 | 0 12 | 0 0 4 4 | * * * * 960 * | 0 1 0 1 1 | 1 1 1 . . . x3o3o ♦ 4 | 0 6 | 0 0 0 4 | * * * * * 480 | 0 0 1 0 2 | 0 2 1 ---------------+-----+----------+--------------------+-------------------------+--------------------+--------- x3o3o *b3x . . ♦ 32 | 48 48 | 32 24 32 0 | 8 8 0 8 0 0 | 60 * * * * | 2 0 0 x3o . *b3x3o . ♦ 30 | 30 60 | 10 30 20 20 | 0 5 10 0 5 0 | * 192 * * * | 1 1 0 x . . x3o3o ♦ 8 | 4 12 | 0 6 0 8 | 0 0 4 0 0 2 | * * 240 * * | 0 2 0 . o3o *b3x3o . ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 5 5 0 | * * * 192 * | 1 0 1 . o . *b3x3o3o ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 0 5 5 | * * * * 192 | 0 1 1 ---------------+-----+----------+--------------------+-------------------------+--------------------+--------- x3o3o *b3x3o . ♦ 160 | 240 480 | 160 240 320 160 | 40 80 80 80 80 0 | 10 16 0 16 0 | 12 * * x3o . *b3x3o3o ♦ 60 | 60 180 | 20 90 60 120 | 0 15 60 0 30 30 | 0 6 15 0 6 | * 32 * . o3o *b3x3o3o ♦ 20 | 0 90 | 0 0 60 60 | 0 0 0 15 30 15 | 0 0 0 6 6 | * * 32
o3o3x3o3o4s
demi( . . . . . . ) | 640 | 9 3 | 9 9 9 3 | 3 9 3 9 1 9 | 3 3 3 3 9 | 1 3 3
--------------------+-----+----------+--------------------+-------------------------+--------------------+---------
demi( . . x . . . ) | 2 | 2880 * | 2 2 1 0 | 1 4 1 2 0 2 | 2 2 1 1 4 | 1 2 2
. . . . o4s | 2 | * 960 | 0 0 3 2 | 0 0 0 3 1 6 | 0 0 1 3 6 | 0 3 2
--------------------+-----+----------+--------------------+-------------------------+--------------------+---------
demi( . o3x . . . ) | 3 | 3 0 | 1920 * * * | 1 2 0 1 0 0 | 2 1 1 0 2 | 1 1 2
demi( . . x3o . . ) | 3 | 3 0 | * 1920 * * | 0 2 1 0 0 1 | 1 2 0 1 2 | 1 2 1
. . x 2 o4s | 4 | 2 2 | * * 1440 * | 0 0 0 2 0 2 | 0 0 1 1 4 | 0 2 2
sefa( . . . o3o4s ) | 3 | 0 3 | * * * 640 | 0 0 0 0 1 3 | 0 0 0 3 3 | 0 3 1
--------------------+-----+----------+--------------------+-------------------------+--------------------+---------
demi( o3o3x . . . ) ♦ 4 | 6 0 | 4 0 0 0 | 480 * * * * * | 2 0 1 0 0 | 1 0 2
demi( . o3x3o . . ) ♦ 6 | 12 0 | 4 4 0 0 | * 960 * * * * | 1 1 0 0 1 | 1 1 1
demi( . . x3o3o . ) ♦ 4 | 6 0 | 0 4 0 0 | * * 480 * * * | 0 2 0 1 0 | 1 2 0
. o3x 2 o4s ♦ 6 | 6 3 | 2 0 3 0 | * * * 960 * * | 0 0 1 0 2 | 0 1 2
. . . o3o4s ♦ 4 | 0 6 | 0 0 0 4 | * * * * 160 * | 0 0 0 3 0 | 0 3 0
sefa( . . x3o3o4s ) ♦ 12 | 12 12 | 0 4 6 4 | * * * * * 480 | 0 0 0 1 2 | 0 2 1
--------------------+-----+----------+--------------------+-------------------------+--------------------+---------
demi( o3o3x3o . . ) ♦ 10 | 30 0 | 20 10 0 0 | 5 5 0 0 0 0 | 192 * * * * | 1 0 1
demi( . o3x3o3o . ) ♦ 10 | 30 0 | 10 20 0 0 | 0 5 5 0 0 0 | * 192 * * * | 1 1 0
o3o3x 2 o4s ♦ 8 | 12 4 | 8 0 6 0 | 2 0 0 4 0 0 | * * 240 * * | 0 0 2
. . x3o3o4s ♦ 32 | 48 48 | 0 32 24 32 | 0 0 8 0 8 8 | * * * 60 * | 0 2 0
sefa( . o3x3o3o4s ) ♦ 30 | 60 30 | 20 20 30 10 | 0 5 0 10 0 5 | * * * * 192 | 0 1 1
--------------------+-----+----------+--------------------+-------------------------+--------------------+---------
demi( o3o3x3o3o . ) ♦ 20 | 90 0 | 60 60 0 0 | 15 30 15 0 0 0 | 6 6 0 0 0 | 32 * *
. o3x3o3o4s ♦ 160 | 480 240 | 160 320 240 160 | 0 80 80 80 40 80 | 0 16 0 10 16 | * 12 *
sefa( o3o3x3o3o4s ) ♦ 60 | 180 60 | 120 60 90 20 | 30 30 0 60 0 15 | 6 0 15 0 6 | * * 32
starting figure: o3o3x3o3o4x
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