pentiruncinated demihexeract,
pentiruncic hexeract
- general polytopal classes:
- Wythoffian polypeta lace simplices
links
| Acronym | crohax (old: scrohax) |
| Name |
(small) cellirhombated hemihexeract, pentiruncinated demihexeract, pentiruncic hexeract |
| Circumradius | sqrt(23)/2 = 2.397916 |
| Face vector | 1920, 10560, 16960, 11040, 3016, 296 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x3o3o *b3x3o3x . . . . . . | 1920 | 3 6 2 | 3 6 6 6 3 6 1 | 1 6 6 3 6 3 2 3 6 3 | 2 2 3 6 3 3 1 2 3 | 1 2 1 3 1 ---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+---------------- x . . . . . | 2 | 2880 * * | 2 2 2 0 0 0 0 | 1 4 4 1 2 1 0 0 0 0 | 2 2 2 4 2 1 0 0 0 | 1 2 1 2 0 . . . x . . | 2 | * 5760 * | 0 1 0 2 1 1 0 | 0 2 0 1 1 0 1 2 2 1 | 1 0 2 2 0 1 1 1 2 | 1 1 0 2 1 . . . . . x | 2 | * * 1920 | 0 0 3 0 0 3 1 | 0 0 3 0 3 3 0 0 3 3 | 0 1 0 3 3 3 0 1 3 | 0 1 1 3 1 ---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+---------------- x3o . . . . | 3 | 3 0 0 | 1920 * * * * * * | 1 2 2 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 x . . x . . | 4 | 2 2 0 | * 2880 * * * * * | 0 2 0 1 1 0 0 0 0 0 | 1 0 2 2 0 1 0 0 0 | 1 1 0 2 0 x . . . . x | 4 | 2 0 2 | * * 2880 * * * * | 0 0 2 0 1 1 0 0 0 0 | 0 1 0 2 2 1 0 0 0 | 0 1 1 2 0 . o . *b3x . . | 3 | 0 3 0 | * * * 3840 * * * | 0 1 0 0 0 0 1 1 1 0 | 1 0 1 1 0 0 1 1 1 | 1 1 0 1 1 . . . x3o . | 3 | 0 3 0 | * * * * 1920 * * | 0 0 0 1 0 0 0 2 0 1 | 0 0 2 0 0 1 1 0 2 | 1 0 0 2 1 . . . x . x | 4 | 0 2 2 | * * * * * 2880 * | 0 0 0 0 1 0 0 0 2 1 | 0 0 0 2 0 1 0 1 2 | 0 1 0 2 1 . . . . o3x | 3 | 0 0 3 | * * * * * * 640 | 0 0 0 0 0 3 0 0 0 3 | 0 0 0 0 3 3 0 0 3 | 0 0 1 3 1 ---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+---------------- x3o3o . . . ♦ 4 | 6 0 0 | 4 0 0 0 0 0 0 | 480 * * * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x3o . *b3x . . ♦ 12 | 12 12 0 | 4 6 0 4 0 0 0 | * 960 * * * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x3o . . . x ♦ 6 | 6 0 3 | 2 0 3 0 0 0 0 | * * 1920 * * * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 x . . x3o . ♦ 6 | 3 6 0 | 0 3 0 0 2 0 0 | * * * 960 * * * * * * | 0 0 2 0 0 1 0 0 0 | 1 0 0 2 0 x . . x . x ♦ 8 | 4 4 4 | 0 2 2 0 0 2 0 | * * * * 1440 * * * * * | 0 0 0 2 0 1 0 0 0 | 0 1 0 2 0 x . . . o3x ♦ 6 | 3 0 6 | 0 0 3 0 0 0 2 | * * * * * 960 * * * * | 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0 . o3o *b3x . . ♦ 4 | 0 6 0 | 0 0 0 4 0 0 0 | * * * * * * 960 * * * | 1 0 0 0 0 0 1 1 0 | 1 1 0 0 1 . o . *b3x3o . ♦ 6 | 0 12 0 | 0 0 0 4 4 0 0 | * * * * * * * 960 * * | 0 0 1 0 0 0 1 0 1 | 1 0 0 1 1 . o . *b3x . x ♦ 6 | 0 6 3 | 0 0 0 2 0 3 0 | * * * * * * * * 1920 * | 0 0 0 1 0 0 0 1 1 | 0 1 0 1 1 . . . x3o3x ♦ 12 | 0 12 12 | 0 0 0 0 4 6 4 | * * * * * * * * * 480 | 0 0 0 0 0 1 0 0 2 | 0 0 0 2 1 ---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+---------------- x3o3o *b3x . . ♦ 32 | 48 48 0 | 32 24 0 32 0 0 0 | 8 8 0 0 0 0 8 0 0 0 | 120 * * * * * * * * | 1 1 0 0 0 x3o3o . . x ♦ 8 | 12 0 4 | 8 0 6 0 0 0 0 | 2 0 4 0 0 0 0 0 0 0 | * 480 * * * * * * * | 0 1 1 0 0 x3o . *b3x3o . ♦ 30 | 30 60 0 | 10 30 0 20 20 0 0 | 0 5 0 10 0 0 0 5 0 0 | * * 192 * * * * * * | 1 0 0 1 0 x3o . *b3x . x ♦ 24 | 24 24 12 | 8 12 12 8 0 12 0 | 0 2 4 0 6 0 0 0 4 0 | * * * 480 * * * * * | 0 1 0 1 0 x3o . . o3x ♦ 9 | 9 0 9 | 3 0 9 0 0 0 3 | 0 0 3 0 0 3 0 0 0 0 | * * * * 640 * * * * | 0 0 1 1 0 x . . x3o3x ♦ 24 | 12 24 24 | 0 12 12 0 8 12 8 | 0 0 0 4 6 4 0 0 0 2 | * * * * * 240 * * * | 0 0 0 2 0 . o3o *b3x3o . ♦ 10 | 0 30 0 | 0 0 0 20 10 0 0 | 0 0 0 0 0 0 5 5 0 0 | * * * * * * 192 * * | 1 0 0 0 1 . o3o *b3x . x ♦ 8 | 0 12 4 | 0 0 0 8 0 6 0 | 0 0 0 0 0 0 2 0 4 0 | * * * * * * * 480 * | 0 1 0 0 1 . o . *b3x3o3x ♦ 30 | 0 60 30 | 0 0 0 20 20 30 10 | 0 0 0 0 0 0 0 5 10 5 | * * * * * * * * 192 | 0 0 0 1 1 ---------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+---------------- x3o3o *b3x3o . ♦ 160 | 240 480 0 | 160 240 0 320 160 0 0 | 40 80 0 80 0 0 80 80 0 0 | 10 0 16 0 0 0 16 0 0 | 12 * * * * x3o3o *b3x . x ♦ 64 | 96 96 32 | 64 48 48 64 0 48 0 | 16 16 32 0 24 0 16 0 32 0 | 2 8 0 8 0 0 0 8 0 | * 60 * * * x3o3o . o3x ♦ 12 | 18 0 12 | 12 0 18 0 0 0 4 | 3 0 12 0 0 6 0 0 0 0 | 0 3 0 0 4 0 0 0 0 | * * 160 * * x3o . *b3x3o3x ♦ 180 | 180 360 180 | 60 180 180 120 120 180 60 | 0 30 60 60 90 60 0 30 60 30 | 0 0 6 15 20 15 0 0 6 | * * * 32 * . o3o *b3x3o3x ♦ 60 | 0 180 60 | 0 0 0 120 60 90 20 | 0 0 0 0 0 0 30 30 60 15 | 0 0 0 0 0 0 6 15 6 | * * * * 32
x3o3x3o3o4s
demi( . . . . . . ) | 1920 | 2 6 3 | 1 6 3 6 6 6 3 | 3 6 3 2 3 6 3 1 6 6 | 3 2 1 3 2 2 3 6 3 | 1 1 2 1 3
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x . . . . . ) | 2 | 1920 * * | 1 3 0 0 3 0 0 | 3 3 0 0 3 3 0 0 3 0 | 3 1 0 3 1 0 3 3 0 | 1 1 1 0 3
demi( . . x . . . ) | 2 | * 5760 * | 0 1 1 2 0 1 0 | 1 2 2 1 0 1 1 0 0 2 | 2 1 1 1 0 1 0 2 2 | 1 0 1 1 2
. . . . o4s | 2 | * * 2880 | 0 0 0 0 2 2 2 | 0 0 0 0 1 2 1 1 4 4 | 0 0 0 1 2 2 2 4 2 | 0 1 2 1 2
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o . . . . ) | 3 | 3 0 0 | 640 * * * * * * | 3 0 0 0 3 0 0 0 0 0 | 3 0 0 3 0 0 3 0 0 | 1 1 0 0 3
demi( x . x . . . ) | 4 | 2 2 0 | * 2880 * * * * * | 1 2 0 0 0 1 0 0 0 0 | 2 1 0 1 0 0 0 2 0 | 1 0 1 0 2
demi( . o3x . . . ) | 3 | 0 3 0 | * * 1920 * * * * | 1 0 2 0 0 0 1 0 0 0 | 2 0 1 1 0 0 0 0 2 | 1 0 0 1 2
demi( . . x3o . . ) | 3 | 0 3 0 | * * * 3840 * * * | 0 1 1 1 0 0 0 0 0 1 | 1 1 1 0 0 1 0 1 1 | 1 0 1 1 1
x . 2 . o4s | 4 | 2 0 2 | * * * * 2880 * * | 0 0 0 0 1 1 0 0 2 0 | 0 0 0 1 1 0 2 2 0 | 0 1 1 0 2
. . x 2 o4s | 4 | 0 2 2 | * * * * * 2880 * | 0 0 0 0 0 1 1 0 0 2 | 0 0 0 1 0 1 0 2 2 | 0 0 1 1 2
sefa( . . . o3o4s ) | 3 | 0 0 3 | * * * * * * 1920 | 0 0 0 0 0 0 0 1 2 2 | 0 0 0 0 2 2 1 2 1 | 0 1 2 1 1
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o3x . . . ) ♦ 12 | 12 12 0 | 4 6 4 0 0 0 0 | 480 * * * * * * * * * | 2 0 0 1 0 0 0 0 0 | 1 0 0 0 2
demi( x . x3o . . ) ♦ 6 | 3 6 0 | 0 3 0 2 0 0 0 | * 1920 * * * * * * * * | 1 1 0 0 0 0 0 1 0 | 1 0 1 0 1
demi( . o3x3o . . ) ♦ 6 | 0 12 0 | 0 0 4 4 0 0 0 | * * 960 * * * * * * * | 1 0 1 0 0 0 0 0 1 | 1 0 0 1 1
demi( . . x3o3o . ) ♦ 4 | 0 6 0 | 0 0 0 4 0 0 0 | * * * 960 * * * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0
x3o . 2 o4s ♦ 6 | 6 0 3 | 2 0 0 0 3 0 0 | * * * * 960 * * * * * | 0 0 0 1 0 0 2 0 0 | 0 1 0 0 2
x 2 x 2 o4s ♦ 8 | 4 4 4 | 0 2 0 0 2 2 0 | * * * * * 1440 * * * * | 0 0 0 1 0 0 0 2 0 | 0 0 1 0 2
. o3x 2 o4s ♦ 6 | 0 6 3 | 0 0 2 0 0 3 0 | * * * * * * 960 * * * | 0 0 0 1 0 0 0 0 2 | 0 0 0 1 2
. . . o3o4s ♦ 4 | 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * 480 * * | 0 0 0 0 2 2 0 0 0 | 0 1 2 1 0
sefa( x 2 . o3o4s ) ♦ 6 | 3 0 6 | 0 0 0 0 3 0 2 | * * * * * * * * 1920 * | 0 0 0 0 1 0 1 1 0 | 0 1 1 0 1
sefa( . . x3o3o4s ) ♦ 12 | 0 12 12 | 0 0 0 4 0 6 4 | * * * * * * * * * 960 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o3x3o . . ) ♦ 30 | 30 60 0 | 10 30 20 20 0 0 0 | 5 10 5 0 0 0 0 0 0 0 | 192 * * * * * * * * | 1 0 0 0 1
demi( x . x3o3o . ) ♦ 8 | 4 12 0 | 0 6 0 8 0 0 0 | 0 4 0 2 0 0 0 0 0 0 | * 480 * * * * * * * | 1 0 1 0 0
demi( . o3x3o3o . ) ♦ 10 | 0 30 0 | 0 0 10 20 0 0 0 | 0 0 5 5 0 0 0 0 0 0 | * * 192 * * * * * * | 1 0 0 1 0
x3o3x 2 o4s ♦ 24 | 24 24 12 | 8 12 8 0 12 12 0 | 2 0 0 0 4 6 4 0 0 0 | * * * 240 * * * * * | 0 0 0 0 2
x 2 . o3o4s ♦ 8 | 4 0 12 | 0 0 0 0 6 0 8 | 0 0 0 0 0 0 0 2 4 0 | * * * * 480 * * * * | 0 1 1 0 0
. . x3o3o4s ♦ 32 | 0 48 48 | 0 0 0 32 0 24 32 | 0 0 0 8 0 0 0 8 0 8 | * * * * * 120 * * * | 0 0 1 1 0
sefa( x3o 2 o3o4s ) ♦ 9 | 9 0 9 | 3 0 0 0 9 0 3 | 0 0 0 0 3 0 0 0 3 0 | * * * * * * 640 * * | 0 1 0 0 1
sefa( x 2 x3o3o4s ) ♦ 24 | 12 24 24 | 0 12 0 8 12 12 8 | 0 4 0 0 0 6 0 0 4 2 | * * * * * * * 480 * | 0 0 1 0 1
sefa( . o3x3o3o4s ) ♦ 30 | 0 60 30 | 0 0 20 20 0 30 10 | 0 0 5 0 0 0 10 0 0 5 | * * * * * * * * 192 | 0 0 0 1 1
--------------------+------+----------------+-----------------------------------+--------------------------------------------+-------------------------------------+----------------
demi( x3o3x3o3o . ) ♦ 60 | 60 180 0 | 20 90 60 120 0 0 0 | 15 60 30 30 0 0 0 0 0 0 | 6 15 6 0 0 0 0 0 0 | 32 * * * *
x3o 2 o3o4s ♦ 12 | 12 0 18 | 4 0 0 0 18 0 12 | 0 0 0 0 6 0 0 3 12 0 | 0 0 0 0 3 0 4 0 0 | * 160 * * *
x 2 x3o3o4s ♦ 64 | 32 96 96 | 0 48 0 64 48 48 64 | 0 32 0 16 0 24 0 16 32 16 | 0 8 0 0 8 2 0 8 0 | * * 60 * *
. o3x3o3o4s ♦ 160 | 0 480 240 | 0 0 160 320 0 240 160 | 0 0 80 80 0 0 80 40 0 80 | 0 0 16 0 0 10 0 0 16 | * * * 12 *
sefa( x3o3x3o3o4s ) ♦ 180 | 180 360 180 | 60 180 120 120 180 180 60 | 30 60 30 0 60 90 60 0 60 30 | 6 0 0 15 0 0 20 15 6 | * * * * 32
starting figure: x3o3x3o3o4x
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