edge-snub hexadecachoric hosoteron
- general polytopal classes:
- isogonal
links
| Acronym | pysneta |
| Name |
pyritosnub tesseractic alterprism, edge-snub hexadecachoric hosoteron |
| Circumradius | ... |
| Face vector | 384, 1920, 2848, 1584, 274 |
| Confer |
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External links |
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This isogonal polyteron is obtained by hemiation of gidpithip. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.
Incidence matrix according to Dynkin symbol
s2s3s3s4x
demi( . . . . . ) | 384 | 1 1 1 1 1 2 2 1 | 1 1 1 1 1 3 3 3 2 3 2 2 2 | 1 1 1 1 1 1 1 1 4 3 3 3 3 | 1 1 1 1 1 4
------------------+-----+---------------------------------+--------------------------------------------------+---------------------------------------------+-----------------
demi( . . . . x ) | 2 | 192 * * * * * * * | 1 1 0 0 1 0 0 0 1 0 2 1 1 | 0 0 0 1 0 1 1 1 0 3 2 2 2 | 0 1 1 1 1 3 x
s2s . . . | 2 | * 192 * * * * * * | 1 0 0 0 0 2 2 0 0 0 0 0 0 | 1 1 0 0 0 0 0 0 2 2 2 0 0 | 1 1 1 0 0 2 q
s 2 s . . | 2 | * * 192 * * * * * | 0 1 0 0 0 2 0 2 0 0 0 0 0 | 1 0 1 0 0 0 0 0 2 2 0 2 0 | 1 1 0 1 0 2 q
s 2 . s . | 2 | * * * 192 * * * * | 0 0 0 0 0 0 2 2 2 0 0 0 0 | 0 1 1 1 0 0 0 0 2 0 2 2 0 | 1 0 1 1 0 2 q
. s 2 s . | 2 | * * * * 192 * * * | 0 0 0 0 0 0 2 0 0 2 0 2 0 | 0 1 0 0 1 0 1 0 2 0 2 0 2 | 1 0 1 0 1 2 q
sefa( . s3s . . ) | 2 | * * * * * 384 * * | 0 0 1 0 0 1 0 0 0 1 1 0 0 | 1 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 h
sefa( . . s3s . ) | 2 | * * * * * * 384 * | 0 0 0 1 0 0 0 1 0 1 0 0 1 | 0 0 1 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 h
sefa( . . . s4x ) | 2 | * * * * * * * 192 | 0 0 0 0 1 0 0 0 1 0 0 1 1 | 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1 w
------------------+-----+---------------------------------+--------------------------------------------------+---------------------------------------------+-----------------
s2s 2 . x | 4 | 2 2 0 0 0 0 0 0 | 96 * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 2 2 0 0 | 0 1 1 0 0 2 q2x
s 2 s 2 x | 4 | 2 0 2 0 0 0 0 0 | * 96 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 2 0 2 0 | 0 1 0 1 0 2 q2x
. s3s . . | 3 | 0 0 0 0 0 3 0 0 | * * 128 * * * * * * * * * * | 1 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 | * * * 128 * * * * * * * * * | 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 | * * * * 96 * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0 w2x
sefa( s2s3s . . ) | 3 | 0 1 1 0 0 1 0 0 | * * * * * 384 * * * * * * * | 1 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 {qqh}
sefa( s2s 2 s . ) | 3 | 0 1 0 1 1 0 0 0 | * * * * * * 384 * * * * * * | 0 1 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1 q3o
sefa( s 2 s3s . ) | 3 | 0 0 1 1 0 0 1 0 | * * * * * * * 384 * * * * * | 0 0 1 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 {qqh}
sefa( s 2 . s4x ) | 4 | 1 0 0 2 0 0 0 1 | * * * * * * * * 192 * * * * | 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 0 1 1 1 0 | * * * * * * * * * 384 * * * | 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 {qhh}
sefa( . s3s 2 x ) | 4 | 2 0 0 0 0 2 0 0 | * * * * * * * * * * 192 * * | 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 q2x
sefa( . s 2 s4x ) | 4 | 1 0 0 0 2 0 0 1 | * * * * * * * * * * * 192 * | 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 | * * * * * * * * * * * * 192 | 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 xw&#h
------------------+-----+---------------------------------+--------------------------------------------------+---------------------------------------------+-----------------
s2s3s . . | 6 | 0 3 3 0 0 6 0 0 | 0 0 2 0 0 6 0 0 0 0 0 0 0 | 64 * * * * * * * * * * * * | 1 1 0 0 0 0 ho3oh&#q
s2s 2 s . | 4 | 0 2 0 2 2 0 0 0 | 0 0 0 0 0 0 4 0 0 0 0 0 0 | * 96 * * * * * * * * * * * | 1 0 1 0 0 0 q-tet
s 2 s3s . | 6 | 0 0 3 3 0 0 6 0 | 0 0 0 2 0 0 0 6 0 0 0 0 0 | * * 64 * * * * * * * * * * | 1 0 0 1 0 0 ho3oh&#q
s 2 . s4x | 8 | 4 0 0 4 0 0 0 4 | 0 0 0 0 2 0 0 0 4 0 0 0 0 | * * * 48 * * * * * * * * * | 0 0 1 1 0 0 recta
. s3s3s . | 12 | 0 0 0 0 6 12 12 0 | 0 0 4 4 0 0 0 0 0 12 0 0 0 | * * * * 32 * * * * * * * * | 1 0 0 0 1 0 snit
. s3s 2 x | 6 | 3 0 0 0 0 6 0 0 | 0 0 2 0 0 0 0 0 0 0 3 0 0 | * * * * * 64 * * * * * * * | 0 1 0 0 1 0 x h3o
. s 2 s4x | 8 | 4 0 0 0 4 0 0 4 | 0 0 0 0 2 0 0 0 0 0 0 4 0 | * * * * * * 48 * * * * * * | 0 0 1 0 1 0 recta
. . s3s4x | 24 | 12 0 0 0 0 0 24 12 | 0 0 0 8 6 0 0 0 0 0 0 0 12 | * * * * * * * 16 * * * * * | 0 0 0 1 1 0 pysnic
sefa( s2s3s3s . ) | 4 | 0 1 1 1 1 1 1 0 | 0 0 0 0 0 1 1 1 0 1 0 0 0 | * * * * * * * * 384 * * * * | 1 0 0 0 0 1 (tet var.) q-laced {qhh}-pyr
sefa( s2s3s 2 x ) | 6 | 3 2 2 0 0 2 0 0 | 1 1 0 0 0 2 0 0 0 0 1 0 0 | * * * * * * * * * 192 * * * | 0 1 0 0 0 1 (trip var.) x-laced {qqh}-prism
sefa( s2s 2 s4x ) | 6 | 2 2 0 2 2 0 0 1 | 1 0 0 0 0 0 2 0 1 0 0 1 0 | * * * * * * * * * * 192 * * | 0 0 1 0 0 1 (trip var.) wx oq&#q
sefa( s 2 s3s4x ) | 6 | 2 0 2 2 0 0 2 1 | 0 1 0 0 0 0 0 2 1 0 0 0 1 | * * * * * * * * * * * 192 * | 0 0 0 1 0 1 (trip var.) q-laced x || xw&#h
sefa( . s3s3s4x ) | 6 | 2 0 0 0 2 2 2 1 | 0 0 0 0 0 0 0 0 0 2 1 1 1 | * * * * * * * * * * * * 192 | 0 0 0 0 1 1 (trip var.) h-laced x || xw&#q
------------------+-----+---------------------------------+--------------------------------------------------+---------------------------------------------+-----------------
s2s3s3s . | 24 | 0 12 12 12 12 24 24 0 | 0 0 8 8 0 24 24 24 0 24 0 0 0 | 4 6 4 0 2 0 0 0 24 0 0 0 0 | 16 * * * * * pikap
s2s3s 2 x | 12 | 6 6 6 0 0 12 0 0 | 3 3 4 0 0 12 0 0 0 0 6 0 0 | 2 0 0 0 0 2 0 0 0 6 0 0 0 | * 32 * * * * (ope var.)
s2s 2 s4x | 16 | 8 8 0 8 8 0 0 8 | 4 0 0 0 4 0 16 0 8 0 0 8 0 | 0 4 0 2 0 0 2 0 0 0 8 0 0 | * * 24 * * * dispap
s 2 s3s4x | 48 | 24 0 24 24 0 0 48 24 | 0 12 0 16 12 0 0 48 24 0 0 0 24 | 0 0 8 6 0 0 0 2 0 0 0 24 0 | * * * 8 * * pysna
. s3s3s4x | 192 | 96 0 0 0 96 192 192 96 | 0 0 64 64 48 0 0 0 0 192 96 96 96 | 0 0 0 0 16 32 24 8 0 0 0 0 96 | * * * * 2 * pysnet
sefa( s2s3s3s4x ) | 8 | 3 2 2 2 2 2 2 1 | 1 1 0 0 0 2 2 2 1 2 1 1 1 | 0 0 0 0 0 0 0 0 2 1 1 1 1 | * * * * * 192 (tepe var.)
starting figure: x x3x3x4x
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