steriruncinated demihexeract, pentisteric hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | cophix |
| Name |
small celliprismated hemihexeract, steriruncinated demihexeract, pentisteric hexeract |
| Circumradius | sqrt(19)/2 = 2.179449 |
| Coordinates | (5/sqrt(8), 3/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8)) & all permutations, all even changes of sign |
| Face vector | 960, 5280, 10720, 9120, 3016, 296 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o *b3o3x3x o3o3o *b3o3o3o | 960 | 6 4 1 | 12 12 6 6 4 | 4 4 12 12 6 12 4 6 | 1 4 4 4 4 12 6 1 4 | 1 1 4 4 1 ---------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+---------------- x . . . . . | 2 | 2880 * * | 4 2 1 0 0 | 2 2 4 4 1 2 0 0 | 1 2 2 2 2 4 1 0 0 | 1 1 2 2 0 . . . . x . | 2 | * 1920 * | 0 3 0 3 1 | 0 0 3 0 3 3 3 3 | 0 1 0 3 0 3 3 1 3 | 1 0 1 3 1 . . . . . x | 2 | * * 480 | 0 0 6 0 4 | 0 0 0 12 0 12 0 6 | 0 0 4 0 4 12 6 0 4 | 0 1 4 4 1 ---------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+---------------- x3o . . . . | 3 | 3 0 0 | 3840 * * * * | 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 0 0 0 | 1 1 1 1 0 x . . . x . | 4 | 2 2 0 | * 2880 * * * | 0 0 2 0 1 1 0 0 | 0 1 0 2 0 2 1 0 0 | 1 0 1 2 0 x . . . . x | 4 | 2 0 2 | * * 1440 * * | 0 0 0 4 0 2 0 0 | 0 0 2 0 2 4 1 0 0 | 0 1 2 2 0 . . . o3x . | 3 | 0 3 0 | * * * 1920 * | 0 0 0 0 1 0 2 1 | 0 0 0 2 0 0 1 1 2 | 1 0 0 2 1 . . . . x3x | 6 | 0 3 3 | * * * * 640 | 0 0 0 0 0 3 0 3 | 0 0 0 0 0 3 3 0 3 | 0 0 1 3 1 ---------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+---------------- x3o3o . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 | 960 * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 x3o . *b3o . . ♦ 4 | 6 0 0 | 4 0 0 0 0 | * 960 * * * * * * | 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0 x3o . . x . ♦ 6 | 6 3 0 | 2 3 0 0 0 | * * 1920 * * * * * | 0 1 0 1 0 1 0 0 0 | 1 0 1 1 0 x3o . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 | * * * 1920 * * * * | 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0 x . . o3x . ♦ 6 | 3 6 0 | 0 3 0 2 0 | * * * * 960 * * * | 0 0 0 2 0 0 1 0 0 | 1 0 0 2 0 x . . . x3x ♦ 12 | 6 6 6 | 0 3 3 0 2 | * * * * * 960 * * | 0 0 0 0 0 2 1 0 0 | 0 0 1 2 0 . o . *b3o3x . ♦ 4 | 0 6 0 | 0 0 0 4 0 | * * * * * * 960 * | 0 0 0 1 0 0 0 1 1 | 1 0 0 1 1 . . . o3x3x ♦ 12 | 0 12 6 | 0 0 0 4 4 | * * * * * * * 480 | 0 0 0 0 0 0 1 0 2 | 0 0 0 2 1 ---------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+---------------- x3o3o *b3o . . ♦ 8 | 24 0 0 | 32 0 0 0 0 | 8 8 0 0 0 0 0 0 | 120 * * * * * * * * | 1 1 0 0 0 x3o3o . x . ♦ 8 | 12 4 0 | 8 6 0 0 0 | 2 0 4 0 0 0 0 0 | * 480 * * * * * * * | 1 0 1 0 0 x3o3o . . x ♦ 8 | 12 0 4 | 8 0 6 0 0 | 2 0 0 4 0 0 0 0 | * * 480 * * * * * * | 0 1 1 0 0 x3o . *b3o3x . ♦ 20 | 30 30 0 | 20 30 0 20 0 | 0 5 10 0 10 0 5 0 | * * * 192 * * * * * | 1 0 0 1 0 x3o . *b3o . x ♦ 8 | 12 0 4 | 8 0 6 0 0 | 0 2 0 4 0 0 0 0 | * * * * 480 * * * * | 0 1 0 1 0 x3o . . x3x ♦ 18 | 18 9 9 | 6 9 9 0 3 | 0 0 3 3 0 3 0 0 | * * * * * 640 * * * | 0 0 1 1 0 x . . o3x3x ♦ 24 | 12 24 12 | 0 12 6 8 8 | 0 0 0 0 4 4 0 2 | * * * * * * 240 * * | 0 0 0 2 0 . o3o *b3o3x . ♦ 5 | 0 10 0 | 0 0 0 10 0 | 0 0 0 0 0 0 5 0 | * * * * * * * 192 * | 1 0 0 0 1 . o . *b3o3x3x ♦ 20 | 0 30 10 | 0 0 0 20 10 | 0 0 0 0 0 0 5 5 | * * * * * * * * 192 | 0 0 0 1 1 ---------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+---------------- x3o3o *b3o3x . ♦ 80 | 240 160 0 | 320 240 0 160 0 | 80 80 160 0 80 0 80 0 | 10 40 0 16 0 0 0 16 0 | 12 * * * * x3o3o *b3o . x ♦ 16 | 48 0 8 | 64 0 24 0 0 | 16 16 0 32 0 0 0 0 | 2 0 8 0 8 0 0 0 0 | * 60 * * * x3o3o . x3x ♦ 24 | 36 12 12 | 24 18 18 0 4 | 6 0 12 12 0 6 0 0 | 0 3 3 0 0 4 0 0 0 | * * 160 * * x3o . *b3o3x3x ♦ 120 | 180 180 60 | 120 180 90 120 60 | 0 30 60 60 60 60 30 30 | 0 0 0 6 15 20 15 0 6 | * * * 32 * . o3o *b3o3x3x ♦ 30 | 0 60 15 | 0 0 0 60 20 | 0 0 0 0 0 0 30 15 | 0 0 0 0 0 0 0 6 6 | * * * * 32
x3x3o3o3o4s
demi( . . . . . . ) | 960 | 1 4 6 | 4 6 6 12 12 | 6 4 12 6 4 12 12 4 | 4 1 6 4 4 1 12 4 4 | 1 4 1 1 4
--------------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+----------------
demi( x . . . . . ) | 2 | 480 * * | 4 0 6 0 0 | 6 0 12 0 0 12 0 0 | 4 0 6 4 0 0 12 4 0 | 1 4 1 0 4
demi( . x . . . . ) | 2 | * 1920 * | 1 3 0 3 0 | 3 3 3 3 0 0 3 0 | 3 1 3 0 1 0 3 0 3 | 1 1 0 1 3
. . . . o4s | 2 | * * 2880 | 0 0 1 2 4 | 0 0 2 1 2 4 4 2 | 0 0 1 2 2 1 4 2 2 | 0 2 1 1 2
--------------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+----------------
demi( x3x . . . . ) | 6 | 3 3 0 | 640 * * * * | 3 0 3 0 0 0 0 0 | 3 0 3 0 0 0 3 0 0 | 1 1 0 0 3
demi( . x3o . . . ) | 3 | 0 3 0 | * 1920 * * * | 1 2 0 1 0 0 0 0 | 2 1 1 0 0 0 0 0 2 | 1 0 0 1 2
x . 2 . o4s | 4 | 2 0 2 | * * 1440 * * | 0 0 2 0 0 4 0 0 | 0 0 1 2 0 0 4 2 0 | 0 2 1 0 2
. x 2 . o4s | 4 | 0 2 2 | * * * 2880 * | 0 0 1 1 0 0 2 0 | 0 0 1 0 1 0 2 0 2 | 0 1 0 1 2
sefa( . . . o3o4s ) | 3 | 0 0 3 | * * * * 3840 | 0 0 0 0 1 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
--------------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+----------------
demi( x3x3o . . . ) ♦ 12 | 6 12 0 | 4 4 0 0 0 | 480 * * * * * * * | 2 0 1 0 0 0 0 0 0 | 1 0 0 0 2
demi( . x3o3o . . ) ♦ 4 | 0 6 0 | 0 4 0 0 0 | * 960 * * * * * * | 1 1 0 0 0 0 0 0 1 | 1 0 0 1 1
x3x . 2 o4s ♦ 12 | 6 6 6 | 2 0 3 3 0 | * * 960 * * * * * | 0 0 1 0 0 0 2 0 0 | 0 1 0 0 2
. x3o 2 o4s ♦ 6 | 0 6 3 | 0 2 0 3 0 | * * * 960 * * * * | 0 0 1 0 0 0 0 0 2 | 0 0 0 1 2
. . . o3o4s ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * 960 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
sefa( x . 2 o3o4s ) ♦ 6 | 3 0 6 | 0 0 3 0 2 | * * * * * 1920 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
sefa( . x 2 o3o4s ) ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * * * 1920 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
sefa( . . o3o3o4s ) ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * * * 960 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
--------------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+----------------
demi( x3x3o3o . . ) ♦ 20 | 10 30 0 | 10 20 0 0 0 | 5 5 0 0 0 0 0 0 | 192 * * * * * * * * | 1 0 0 0 1
demi( . x3o3o3o . ) ♦ 5 | 0 10 0 | 0 10 0 0 0 | 0 5 0 0 0 0 0 0 | * 192 * * * * * * * | 1 0 0 1 0
x3x3o 2 o4s ♦ 24 | 12 24 12 | 8 8 6 12 0 | 2 0 4 4 0 0 0 0 | * * 240 * * * * * * | 0 0 0 0 2
x . 2 o3o4s ♦ 8 | 4 0 12 | 0 0 6 0 8 | 0 0 0 0 2 4 0 0 | * * * 480 * * * * * | 0 1 1 0 0
. x 2 o3o4s ♦ 8 | 0 4 12 | 0 0 0 6 8 | 0 0 0 0 2 0 4 0 | * * * * 480 * * * * | 0 1 0 1 0
. . o3o3o4s ♦ 8 | 0 0 24 | 0 0 0 0 32 | 0 0 0 0 8 0 0 8 | * * * * * 120 * * * | 0 0 1 1 0
sefa( x3x 2 o3o4s ) ♦ 18 | 9 9 18 | 3 0 9 9 6 | 0 0 3 0 0 3 3 0 | * * * * * * 640 * * | 0 1 0 0 1
sefa( x 2 o3o3o4s ) ♦ 8 | 4 0 12 | 0 0 6 0 8 | 0 0 0 0 0 4 0 2 | * * * * * * * 480 * | 0 0 1 0 1
sefa( . x3o3o3o4s ) ♦ 20 | 0 30 30 | 0 20 0 30 20 | 0 5 0 10 0 0 10 5 | * * * * * * * * 192 | 0 0 0 1 1
--------------------+-----+---------------+-------------------------+-----------------------------------+-------------------------------------+----------------
demi( x3x3o3o3o . ) ♦ 30 | 15 60 0 | 20 60 0 0 0 | 15 30 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 | 32 * * * *
x3x 2 o3o4s ♦ 24 | 12 12 36 | 4 0 18 18 24 | 0 0 6 0 6 12 12 0 | 0 0 0 3 3 0 4 0 0 | * 160 * * *
x 2 o3o3o4s ♦ 16 | 8 0 48 | 0 0 24 0 64 | 0 0 0 0 16 32 0 16 | 0 0 0 8 0 2 0 8 0 | * * 60 * *
. x3o3o3o4s ♦ 80 | 0 160 240 | 0 160 0 240 320 | 0 80 0 80 80 0 160 80 | 0 16 0 0 40 10 0 0 16 | * * * 12 *
sefa( x3x3o3o3o4s ) ♦ 120 | 60 180 180 | 60 120 90 180 120 | 30 30 60 60 0 60 60 30 | 6 0 15 0 0 0 20 15 6 | * * * * 32
starting figure: x3x3o3o3o4x
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