runcicantellated demihexeract,
steriruncic hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | prohax |
| Name |
prismatorhombated hemihexeract, runcicantellated demihexeract, steriruncic hexeract |
| Circumradius | sqrt(31)/2 = 2.783882 |
| Coordinates | (5/sqrt(8), 5/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 1920, 7680, 10720, 6720, 1996, 236 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o *b3x3x3o o3o3o *b3o3o3o | 1920 | 3 3 2 | 3 3 6 3 6 1 | 1 3 6 6 3 1 6 3 | 1 2 6 3 3 2 3 | 2 1 3 1 ---------------+------+----------------+------------------------------+----------------------------------+----------------------------+------------- x . . . . . | 2 | 2880 * * | 2 1 2 0 0 0 | 1 2 4 2 1 0 0 0 | 1 2 4 2 1 0 0 | 2 1 2 0 . . . x . . | 2 | * 2880 * | 0 1 0 2 2 0 | 0 2 0 2 0 1 4 1 | 1 0 4 0 1 2 2 | 2 0 2 1 . . . . x . | 2 | * * 1920 | 0 0 3 0 3 1 | 0 0 3 3 3 0 3 3 | 0 1 3 3 3 1 3 | 1 1 3 1 ---------------+------+----------------+------------------------------+----------------------------------+----------------------------+------------- x3o . . . . | 3 | 3 0 0 | 1920 * * * * * | 1 1 2 0 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 x . . x . . | 4 | 2 2 0 | * 1440 * * * * | 0 2 0 2 0 0 0 0 | 1 0 4 0 1 0 0 | 2 0 2 0 x . . . x . | 4 | 2 0 2 | * * 2880 * * * | 0 0 2 1 1 0 0 0 | 0 1 2 2 1 0 0 | 1 1 2 0 . o . *b3x . . | 3 | 0 3 0 | * * * 1920 * * | 0 1 0 0 0 1 2 0 | 1 0 2 0 0 2 1 | 2 0 1 1 . . . x3x . | 6 | 0 3 3 | * * * * 1920 * | 0 0 0 1 0 0 2 1 | 0 0 2 0 1 1 2 | 1 0 2 1 . . . . x3o | 3 | 0 0 3 | * * * * * 640 | 0 0 0 0 3 0 0 3 | 0 0 0 3 3 0 3 | 0 1 3 1 ---------------+------+----------------+------------------------------+----------------------------------+----------------------------+------------- x3o3o . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 480 * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x3o . *b3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 | * 480 * * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * * 1920 * * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 x . . x3x . ♦ 12 | 6 6 6 | 0 3 3 0 2 0 | * * * 960 * * * * | 0 0 2 0 1 0 0 | 1 0 2 0 x . . . x3o ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * 960 * * * | 0 0 0 2 1 0 0 | 0 1 2 0 . o3o *b3x . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 | * * * * * 480 * * | 1 0 0 0 0 2 0 | 2 0 0 1 . o . *b3x3x . ♦ 12 | 0 12 6 | 0 0 0 4 4 0 | * * * * * * 960 * | 0 0 1 0 0 1 1 | 1 0 1 1 . . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 0 4 4 | * * * * * * * 480 | 0 0 0 0 1 0 2 | 0 0 2 1 ---------------+------+----------------+------------------------------+----------------------------------+----------------------------+------------- x3o3o *b3x . . ♦ 32 | 48 48 0 | 32 24 0 32 0 0 | 8 8 0 0 0 8 0 0 | 60 * * * * * * | 2 0 0 0 x3o3o . x . ♦ 8 | 12 0 4 | 8 0 6 0 0 0 | 2 0 4 0 0 0 0 0 | * 480 * * * * * | 1 1 0 0 x3o . *b3x3x . ♦ 60 | 60 60 30 | 20 30 30 20 20 0 | 0 5 10 10 0 0 5 0 | * * 192 * * * * | 1 0 1 0 x3o . . x3o ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 0 3 0 3 0 0 0 | * * * 640 * * * | 0 1 1 0 x . . x3x3o ♦ 24 | 12 12 24 | 0 6 12 0 8 8 | 0 0 0 4 4 0 0 2 | * * * * 240 * * | 0 0 2 0 . o3o *b3x3x . ♦ 20 | 0 30 10 | 0 0 0 20 10 0 | 0 0 0 0 0 5 5 0 | * * * * * 192 * | 1 0 0 1 . o . *b3x3x3o ♦ 30 | 0 30 30 | 0 0 0 10 20 10 | 0 0 0 0 0 0 5 5 | * * * * * * 192 | 0 0 1 1 ---------------+------+----------------+------------------------------+----------------------------------+----------------------------+------------- x3o3o *b3x3x . ♦ 320 | 480 480 160 | 320 240 240 320 160 0 | 80 80 160 80 0 80 80 0 | 10 40 16 0 0 16 0 | 12 * * * x3o3o . x3o ♦ 12 | 18 0 12 | 12 0 18 0 0 4 | 3 0 12 0 6 0 0 0 | 0 3 0 4 0 0 0 | * 160 * * x3o . *b3x3x3o ♦ 180 | 180 180 180 | 60 90 180 60 120 60 | 0 15 60 60 60 0 30 30 | 0 0 6 20 15 0 6 | * * 32 * . o3o *b3x3x3o ♦ 60 | 0 90 60 | 0 0 0 60 60 20 | 0 0 0 0 0 15 30 15 | 0 0 0 0 0 6 6 | * * * 32
o3x3x3o3o4s
demi( . . . . . . ) | 1920 | 2 3 3 | 1 6 3 6 3 3 | 3 6 1 3 6 1 6 3 | 3 2 3 2 1 3 6 | 1 1 2 3
--------------------+------+----------------+------------------------------+----------------------------------+----------------------------+-------------
demi( . x . . . . ) | 2 | 1920 * * | 1 3 0 3 0 0 | 3 3 0 3 3 0 3 0 | 3 1 3 1 0 3 3 | 1 1 1 3
demi( . . x . . . ) | 2 | * 2880 * | 0 2 2 0 1 0 | 1 4 1 0 2 0 0 2 | 2 2 1 0 1 0 4 | 1 0 2 2
. . . . o4s | 2 | * * 2880 | 0 0 0 2 1 2 | 0 0 0 1 2 1 4 2 | 0 0 1 2 1 2 4 | 0 1 2 2
--------------------+------+----------------+------------------------------+----------------------------------+----------------------------+-------------
demi( o3x . . . . ) | 3 | 3 0 0 | 640 * * * * * | 3 0 0 3 0 0 0 0 | 3 0 3 0 0 3 0 | 1 1 0 3
demi( . x3x . . . ) | 6 | 3 3 0 | * 1920 * * * * | 1 2 0 0 1 0 0 0 | 2 1 1 0 0 0 2 | 1 0 1 2
demi( . . x3o . . ) | 3 | 0 3 0 | * * 1920 * * * | 0 2 1 0 0 0 0 1 | 1 2 0 0 1 0 2 | 1 0 2 1
. x . 2 o4s | 4 | 2 0 2 | * * * 2880 * * | 0 0 0 1 1 0 2 0 | 0 0 1 1 0 2 2 | 0 1 1 2
. . x 2 o4s | 4 | 0 2 2 | * * * * 1440 * | 0 0 0 0 2 0 0 2 | 0 0 1 0 1 0 4 | 0 0 2 2
sefa( . . . o3o4s ) | 3 | 0 0 3 | * * * * * 1920 | 0 0 0 0 0 1 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
--------------------+------+----------------+------------------------------+----------------------------------+----------------------------+-------------
demi( o3x3x . . . ) ♦ 12 | 12 6 0 | 4 4 0 0 0 0 | 480 * * * * * * * | 2 0 1 0 0 0 0 | 1 0 0 2
demi( . x3x3o . . ) ♦ 12 | 6 12 0 | 0 4 4 0 0 0 | * 960 * * * * * * | 1 1 0 0 0 0 1 | 1 0 1 1
demi( . . x3o3o . ) ♦ 4 | 0 6 0 | 0 0 4 0 0 0 | * * 480 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
o3x . 2 o4s ♦ 6 | 6 0 3 | 2 0 0 3 0 0 | * * * 960 * * * * | 0 0 1 0 0 2 0 | 0 1 0 2
. x3x 2 o4s ♦ 12 | 6 6 6 | 0 2 0 3 3 0 | * * * * 960 * * * | 0 0 1 0 0 0 2 | 0 0 1 2
. . . o3o4s ♦ 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * 480 * * | 0 0 0 2 1 0 0 | 0 1 2 0
sefa( . x 2 o3o4s ) ♦ 6 | 3 0 6 | 0 0 0 3 0 2 | * * * * * * 1920 * | 0 0 0 1 0 1 1 | 0 1 1 1
sefa( . . x3o3o4s ) ♦ 12 | 0 12 12 | 0 0 4 0 6 4 | * * * * * * * 480 | 0 0 0 0 1 0 2 | 0 0 2 1
--------------------+------+----------------+------------------------------+----------------------------------+----------------------------+-------------
demi( o3x3x3o . . ) ♦ 30 | 30 30 0 | 10 20 10 0 0 0 | 5 5 0 0 0 0 0 0 | 192 * * * * * * | 1 0 0 1
demi( . x3x3o3o . ) ♦ 20 | 10 30 0 | 0 10 20 0 0 0 | 0 5 5 0 0 0 0 0 | * 192 * * * * * | 1 0 1 0
o3x3x 2 o4s ♦ 24 | 24 12 12 | 8 8 0 12 6 0 | 2 0 0 4 4 0 0 0 | * * 240 * * * * | 0 0 0 2
. x 2 o3o4s ♦ 8 | 4 0 12 | 0 0 0 6 0 8 | 0 0 0 0 0 2 4 0 | * * * 480 * * * | 0 1 1 0
. . x3o3o4s ♦ 32 | 0 48 48 | 0 0 32 0 24 32 | 0 0 8 0 0 8 0 8 | * * * * 60 * * | 0 0 2 0
sefa( o3x 2 o3o4s ) ♦ 9 | 9 0 9 | 3 0 0 9 0 3 | 0 0 0 3 0 0 3 0 | * * * * * 640 * | 0 1 0 1
sefa( . x3x3o3o4s ) ♦ 60 | 30 60 60 | 0 20 20 30 30 20 | 0 5 0 0 10 0 10 5 | * * * * * * 192 | 0 0 1 1
--------------------+------+----------------+------------------------------+----------------------------------+----------------------------+-------------
demi( o3x3x3o3o . ) ♦ 60 | 60 90 0 | 20 60 60 0 0 0 | 15 30 15 0 0 0 0 0 | 6 6 0 0 0 0 0 | 32 * * *
o3x 2 o3o4s ♦ 12 | 12 0 18 | 4 0 0 18 0 12 | 0 0 0 6 0 3 12 0 | 0 0 0 3 0 4 0 | * 160 * *
. x3x3o3o4s ♦ 320 | 160 480 480 | 0 160 320 240 240 320 | 0 80 80 0 80 80 160 80 | 0 16 0 40 10 0 16 | * * 12 *
sefa( o3x3x3o3o4s ) ♦ 180 | 180 180 180 | 60 120 60 180 90 60 | 30 30 0 60 60 0 60 15 | 6 0 15 0 0 20 6 | * * * 32
starting figure: o3x3x3o3o4x
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