alternation of great cellated penteractitriacontiditeron
- general polytopal classes:
- isogonal
links
| Acronym | snan |
| Name |
snub penteract, alternation of great cellated penteractitriacontiditeron |
| Circumradius | ... |
| Face vector | 1920, 13440, 21600, 12240, 2162 |
| 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
s3s3s3s4s
demi( . . . . . ) | 1920 | 1 1 1 1 1 1 2 2 2 2 | 1 1 1 1 3 3 3 3 3 3 3 3 3 3 | 1 1 1 1 1 1 1 1 1 1 4 4 4 4 4 | 1 1 1 1 1 5
------------------+------+---------------------------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------+--------------------
s 2 s . . | 2 | 960 * * * * * * * * * | 0 0 0 0 2 0 0 2 2 0 0 0 0 0 | 1 0 0 1 1 0 0 0 0 0 2 2 0 2 0 | 1 1 0 1 0 1 q
s 2 . s . | 2 | * 960 * * * * * * * * | 0 0 0 0 0 2 0 2 0 2 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 2 0 2 2 0 | 1 0 1 1 0 1 q
s . 2 . s | 2 | * * 960 * * * * * * * | 0 0 0 0 0 0 2 0 2 2 0 0 0 0 | 0 0 1 0 1 1 0 0 0 0 0 2 2 2 0 | 0 1 1 1 0 1 q
. s 2 s . | 2 | * * * 960 * * * * * * | 0 0 0 0 0 2 0 0 0 0 2 0 2 0 | 0 1 0 0 0 0 1 0 1 0 2 0 2 0 2 | 1 0 1 0 1 1 q
. s 2 . s | 2 | * * * * 960 * * * * * | 0 0 0 0 0 0 2 0 0 0 0 2 2 0 | 0 0 1 0 0 0 0 1 1 0 0 2 2 0 2 | 0 1 1 0 1 1 q
. . s 2 s | 2 | * * * * * 960 * * * * | 0 0 0 0 0 0 0 0 2 0 0 2 0 2 | 0 0 0 0 1 0 0 1 0 1 0 2 0 2 2 | 0 1 0 1 1 1 q
sefa( s3s . . . ) | 2 | * * * * * * 1920 * * * | 1 0 0 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 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 1 0 0 0 0 0 1 1 0 0 | 1 0 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 1 0 0 1 0 0 1 | 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 h
sefa( . . . s4s ) | 2 | * * * * * * * * * 1920 | 0 0 0 1 0 0 0 0 0 1 0 0 1 1 | 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 k
------------------+------+---------------------------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------+--------------------
s3s . . . | 3 | 0 0 0 0 0 0 3 0 0 0 | 640 * * * * * * * * * * * * * | 1 1 1 0 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 0 0 3 0 0 | * 640 * * * * * * * * * * * * | 1 0 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 0 0 3 0 | * * 640 * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 h3o
. . . s4s | 4 | 0 0 0 0 0 0 0 0 0 4 | * * * 480 * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 k4o
sefa( s3s3s . . ) | 3 | 1 0 0 0 0 0 1 1 0 0 | * * * * 1920 * * * * * * * * * | 1 0 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 1 0 1 0 0 1 0 0 0 | * * * * * 1920 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 oh&#q
sefa( s3s 2 . s ) | 3 | 0 0 1 0 1 0 1 0 0 0 | * * * * * * 1920 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1 oh&#q
sefa( s 2 s3s . ) | 3 | 1 1 0 0 0 0 0 0 1 0 | * * * * * * * 1920 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 oh&#q
sefa( s 2 s 2 s ) | 3 | 1 0 1 0 0 1 0 0 0 0 | * * * * * * * * 1920 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1 q3o
sefa( s 2 . s4s ) | 3 | 0 1 1 0 0 0 0 0 0 1 | * * * * * * * * * 1920 * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1 ok&#q
sefa( . s3s3s . ) | 3 | 0 0 0 1 0 0 0 1 1 0 | * * * * * * * * * * 1920 * * * | 0 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 s ) | 3 | 0 0 0 0 1 1 0 1 0 0 | * * * * * * * * * * * 1920 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 oh&#q
sefa( . s 2 s4s ) | 3 | 0 0 0 1 1 0 0 0 0 1 | * * * * * * * * * * * * 1920 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 ok&#q
sefa( . . s3s4s ) | 3 | 0 0 0 0 0 1 0 0 1 1 | * * * * * * * * * * * * * 1920 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 (qhk)
------------------+------+---------------------------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------+--------------------
s3s3s . . | 12 | 6 0 0 0 0 0 12 12 0 0 | 4 4 0 0 12 0 0 0 0 0 0 0 0 0 | 160 * * * * * * * * * * * * * * | 1 1 0 0 0 0 pyritohedral ike variant
s3s 2 s . | 6 | 0 3 0 3 0 0 6 0 0 0 | 2 0 0 0 0 6 0 0 0 0 0 0 0 0 | * 320 * * * * * * * * * * * * * | 1 0 1 0 0 0 triangular antiprism
s3s 2 . s | 6 | 0 0 3 0 3 0 6 0 0 0 | 2 0 0 0 0 0 6 0 0 0 0 0 0 0 | * * 320 * * * * * * * * * * * * | 0 1 1 0 0 0 triangular antiprism
s 2 s3s . | 6 | 3 3 0 0 0 0 0 0 6 0 | 0 0 2 0 0 0 0 6 0 0 0 0 0 0 | * * * 320 * * * * * * * * * * * | 1 0 0 1 0 0 triangular antiprism
s 2 s 2 s | 4 | 2 0 2 0 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 4 0 0 0 0 0 | * * * * 480 * * * * * * * * * * | 0 1 0 1 0 0 q-tetrahedron
s 2 . s4s | 8 | 0 4 4 0 0 0 0 0 0 8 | 0 0 0 2 0 0 0 0 0 8 0 0 0 0 | * * * * * 240 * * * * * * * * * | 0 0 1 1 0 0 shallow square antiprism
. s3s3s . | 12 | 0 0 0 6 0 0 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 pyritohedral ike variant
. s3s 2 s | 6 | 0 0 0 0 3 3 0 6 0 0 | 0 2 0 0 0 0 0 0 0 0 0 6 0 0 | * * * * * * * 320 * * * * * * * | 0 1 0 0 1 0 triangular antiprism
. s 2 s4s | 8 | 0 0 0 4 4 0 0 0 0 8 | 0 0 0 2 0 0 0 0 0 0 0 0 8 0 | * * * * * * * * 240 * * * * * * | 0 0 1 0 1 0 shallow square antiprism
. . s3s4s | 24 | 0 0 0 0 0 12 0 0 24 24 | 0 0 8 6 0 0 0 0 0 0 0 0 0 24 | * * * * * * * * * 80 * * * * * | 0 0 0 1 1 0 snub cube
sefa( s3s3s3s . ) | 4 | 1 1 0 1 0 0 1 1 1 0 | 0 0 0 0 1 1 0 1 0 0 1 0 0 0 | * * * * * * * * * * 1920 * * * * | 1 0 0 0 0 1
sefa( s3s3s 2 s ) | 4 | 1 0 1 0 1 1 1 1 0 0 | 0 0 0 0 1 0 1 0 1 0 0 1 0 0 | * * * * * * * * * * * 1920 * * * | 0 1 0 0 0 1
sefa( s3s 2 s4s ) | 4 | 0 1 1 1 1 0 1 0 0 1 | 0 0 0 0 0 1 1 0 0 1 0 0 1 0 | * * * * * * * * * * * * 1920 * * | 0 0 1 0 0 1
sefa( s 2 s3s4s ) | 4 | 1 1 1 0 0 1 0 0 1 1 | 0 0 0 0 0 0 0 1 1 1 0 0 0 1 | * * * * * * * * * * * * * 1920 * | 0 0 0 1 0 1
sefa( . s3s3s4s ) | 4 | 0 0 0 1 1 1 0 1 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 | * * * * * * * * * * * * * * 1920 | 0 0 0 0 1 1
------------------+------+---------------------------------------------+-------------------------------------------------------------------+-----------------------------------------------------------------+--------------------
s3s3s3s . | 60 | 30 30 0 30 0 0 60 60 60 0 | 20 20 20 0 60 60 0 60 0 0 60 0 0 0 | 5 10 0 10 0 0 5 0 0 0 60 0 0 0 0 | 32 * * * * * snip
s3s3s 2 s | 24 | 12 0 12 0 12 12 24 24 0 0 | 8 8 0 0 24 0 24 0 24 0 0 24 0 0 | 2 0 4 0 6 0 0 4 0 0 0 24 0 0 0 | * 80 * * * * snittap
s3s 2 s4s | 24 | 0 12 12 12 12 0 24 0 0 24 | 8 0 0 6 0 24 24 0 0 24 0 0 24 0 | 0 4 4 0 0 3 0 0 3 0 0 0 24 0 0 | * * 80 * * * 3-4-dap
s 2 s3s4s | 48 | 24 24 24 0 0 24 0 0 48 48 | 0 0 16 12 0 0 0 48 48 48 0 0 0 48 | 0 0 0 8 12 6 0 0 0 2 0 0 0 48 0 | * * * 40 * * sniccap
. s3s3s4s | 192 | 0 0 0 96 96 96 0 192 192 192 | 0 64 64 48 0 0 0 0 0 0 192 192 192 192 | 0 0 0 0 0 0 16 32 24 8 0 0 0 0 192 | * * * * 10 * snet
sefa( s3s3s3s4s ) | 5 | 1 1 1 1 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 | * * * * * 1920 pen variant
starting figure: x3x3x3x4x
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