edge-alternation of great cellated penteractitriacontiditeron
- general polytopal classes:
- isogonal
links
| Acronym | pysnan |
| Name |
pyritosnub penteract, edge-alternation of great cellated penteractitriacontiditeron |
| Circumradius | ... |
| Face vector | 1920, 10560, 15360, 7920, 1202 |
| Confer |
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External links |
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This isogonal polyteron is obtained by hemiation of gacnet. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.
Incidence matrix according to Dynkin symbol
s3s3s3s4x
demi( . . . . . ) | 1920 | 1 1 1 1 2 2 2 1 | 1 1 1 1 1 3 3 2 3 2 3 2 2 2 | 1 1 1 1 1 1 1 1 1 4 3 3 3 3 | 1 1 1 1 1 4
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
demi( . . . . x ) | 2 | 960 * * * * * * * | 0 0 0 1 1 0 0 2 0 1 0 2 1 1 | 0 0 1 0 1 0 1 1 1 0 3 2 2 2 | 0 1 1 1 1 3 x
s 2 s . . | 2 | * 960 * * * * * * | 0 0 0 0 1 2 0 0 2 0 0 0 0 0 | 1 0 0 1 0 0 0 0 0 2 2 0 2 0 | 1 1 0 1 0 2 q
s 2 . s . | 2 | * * 960 * * * * * | 0 0 0 0 0 0 2 0 2 2 0 0 0 0 | 0 1 0 1 1 0 0 0 0 2 0 2 2 0 | 1 0 1 1 0 2 q
. s 2 s . | 2 | * * * 960 * * * * | 0 0 0 0 0 0 2 0 0 0 2 0 2 0 | 0 1 0 0 0 1 0 1 0 2 0 2 0 2 | 1 0 1 0 1 2 q
sefa( s3s . . . ) | 2 | * * * * 1920 * * * | 1 0 0 0 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1 h
sefa( . s3s . . ) | 2 | * * * * * 1920 * * | 0 1 0 0 0 1 0 0 0 0 1 1 0 0 | 1 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 h
sefa( . . s3s . ) | 2 | * * * * * * 1920 * | 0 0 1 0 0 0 0 0 1 0 1 0 0 1 | 0 0 0 1 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 h
sefa( . . . s4x ) | 2 | * * * * * * * 960 | 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 w
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
s3s . . . | 3 | 0 0 0 0 3 0 0 0 | 640 * * * * * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 h3o
. s3s . . | 3 | 0 0 0 0 0 3 0 0 | * 640 * * * * * * * * * * * * | 1 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 h3o
. . s3s . | 3 | 0 0 0 0 0 0 3 0 | * * 640 * * * * * * * * * * * | 0 0 0 1 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 h3o
. . . s4x | 4 | 2 0 0 0 0 0 0 2 | * * * 480 * * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 x2w
s 2 s . x | 4 | 2 2 0 0 0 0 0 0 | * * * * 480 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 | 0 1 0 1 0 2 x2q
sefa( s3s3s . . ) | 3 | 0 1 0 0 1 1 0 0 | * * * * * 1920 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 oq&#h
sefa( s3s 2 s . ) | 3 | 0 0 1 1 1 0 0 0 | * * * * * * 1920 * * * * * * * | 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 oh&q
sefa( s3s . . x ) | 4 | 2 0 0 0 2 0 0 0 | * * * * * * * 960 * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 x2h
sefa( s 2 s3s . ) | 3 | 0 1 1 0 0 0 1 0 | * * * * * * * * 1920 * * * * * | 0 0 0 1 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 oh&#q
sefa( s 2 . s4x ) | 4 | 1 0 2 0 0 0 0 1 | * * * * * * * * * 960 * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 xw&#q
sefa( . s3s3s . ) | 3 | 0 0 0 1 0 1 1 0 | * * * * * * * * * * 1920 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 oq&#h
sefa( . s3s 2 x ) | 4 | 2 0 0 0 0 2 0 0 | * * * * * * * * * * * 960 * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 x2h
sefa( . s 2 s4x ) | 4 | 1 0 0 2 0 0 0 1 | * * * * * * * * * * * * 960 * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 xw&#q
sefa( . . s3s4x ) | 4 | 1 0 0 0 0 0 2 1 | * * * * * * * * * * * * * 960 | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 xw&#h
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
s3s3s . . | 12 | 0 6 0 0 12 12 0 0 | 4 4 0 0 0 12 0 0 0 0 0 0 0 0 | 160 * * * * * * * * * * * * * | 1 1 0 0 0 0 snit
s3s 2 s . | 6 | 0 0 3 3 6 0 0 0 | 2 0 0 0 0 0 6 0 0 0 0 0 0 0 | * 320 * * * * * * * * * * * * | 1 0 1 0 0 0 trap
s3s . . x | 6 | 3 0 0 0 6 0 0 0 | 2 0 0 0 0 0 0 3 0 0 0 0 0 0 | * * 320 * * * * * * * * * * * | 0 1 1 0 0 0 shallow trip
s 2 s3s . | 6 | 0 3 3 0 0 0 6 0 | 0 0 2 0 0 0 0 0 6 0 0 0 0 0 | * * * 320 * * * * * * * * * * | 1 0 0 1 0 0 triangular antiprism
s 2 . s4x | 8 | 4 0 4 0 0 0 0 4 | 0 0 0 2 0 0 0 0 0 4 0 0 0 0 | * * * * 240 * * * * * * * * * | 0 0 1 1 0 0 recta
. s3s3s . | 12 | 0 0 0 6 0 12 12 0 | 0 4 4 0 0 0 0 0 0 0 12 0 0 0 | * * * * * 160 * * * * * * * * | 1 0 0 0 1 0 snit
. s3s . x | 6 | 3 0 0 0 0 6 0 0 | 0 2 0 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * 320 * * * * * * * | 0 1 0 0 1 0 shallow trip
. s 2 s4x | 8 | 4 0 0 4 0 0 0 4 | 0 0 0 2 0 0 0 0 0 0 0 0 4 0 | * * * * * * * 240 * * * * * * | 0 0 1 0 1 0 recta
. . s3s4x | 24 | 12 0 0 0 0 0 24 12 | 0 0 8 6 0 0 0 0 0 0 0 0 0 12 | * * * * * * * * 80 * * * * * | 0 0 0 1 1 0 pysnic
sefa( s3s3s3s . ) | 4 | 0 1 1 1 1 1 1 0 | 0 0 0 0 0 1 1 0 1 0 1 0 0 0 | * * * * * * * * * 1920 * * * * | 1 0 0 0 0 1 chiral digonal antifrustrum (disphenoid)
sefa( s3s3s . x ) | 6 | 3 2 0 0 2 2 0 0 | 0 0 0 0 1 2 0 1 0 0 0 1 0 0 | * * * * * * * * * * 960 * * * | 0 1 0 0 0 1 isot prism oq2xx&#h
sefa( s3s 2 s4x ) | 6 | 2 0 2 2 2 0 0 1 | 0 0 0 0 0 0 2 1 0 1 0 0 1 0 | * * * * * * * * * * * 960 * * | 0 0 1 0 0 1 straight q-laced w-wedge atop x2h
sefa( s 2 s3s4x ) | 6 | 2 2 2 0 0 0 2 1 | 0 0 0 0 1 0 0 0 2 1 0 0 0 1 | * * * * * * * * * * * * 960 * | 0 0 0 1 0 1 slanted w-wedge atop x2q
sefa( . s3s3s4x ) | 6 | 2 0 0 2 0 2 2 1 | 0 0 0 0 0 0 0 0 0 0 2 1 1 1 | * * * * * * * * * * * * * 960 | 0 0 0 0 1 1 straight h-laced x-wedge atop xw&#q
------------------+------+------------------------------------+-------------------------------------------------------------+---------------------------------------------------------+-------------------
s3s3s3s . | 60 | 0 30 30 30 60 60 60 0 | 20 20 20 0 0 60 60 0 60 0 60 0 0 0 | 5 10 0 10 0 5 0 0 0 60 0 0 0 0 | 32 * * * * * snip
s3s3s . x | 24 | 12 12 0 0 24 24 0 0 | 8 8 0 0 6 24 0 12 0 0 0 12 0 0 | 2 0 4 0 0 0 4 0 0 0 12 0 0 0 | * 80 * * * * snittap
s3s 2 s4x | 24 | 12 0 12 12 24 0 0 12 | 8 0 0 6 0 0 24 12 0 12 0 0 12 0 | 0 4 4 0 3 0 0 3 0 0 0 12 0 0 | * * 80 * * * 3-4-prismantiprismoid
s 2 s3s4x | 48 | 24 24 24 0 0 0 48 24 | 0 0 16 12 12 0 0 0 48 24 0 0 0 24 | 0 0 0 8 6 0 0 0 2 0 0 0 24 0 | * * * 40 * * pysna
. s3s3s4x | 192 | 96 0 0 96 0 192 192 96 | 0 64 64 48 0 0 0 0 0 0 192 96 96 96 | 0 0 0 0 0 16 32 24 8 0 0 0 0 96 | * * * * 10 * pysnet
sefa( s3s3s3s4x ) | 8 | 3 2 2 2 2 2 2 1 | 0 0 0 0 1 2 2 1 2 1 2 1 1 1 | 0 0 0 0 0 0 0 0 0 2 1 1 1 1 | * * * * * 960 slanted w-wedge atop isot prism (tepe variant)
starting figure: x3x3x3x4x
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