trip-alternatedosirco
- general polytopal classes:
- isogonal
links
| Acronym | ... |
| Name | s4x2x3o4s, trip-alternatedosirco |
| Circumradius | sqrt(2)+1/2 = 1.914214 |
| Face vector | 96, 336, 448, 256, 50 |
| Confer |
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| External links | |
This isogonal polyteron is obtained by hemiation ofosirco. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.
Incidence matrix according toDynkin symbol
s4x2x3o4sdemi( . . . . . ) | 96 | 1 2 2 1 1 | 2 1 1 2 1 2 4 3 2 | 1 2 2 1 1 1 4 3 3 2 | 1 2 1 1 1 3------------------+----+----------------+----------------------------+------------------------------+--------------demi( . x . . . ) | 2 | 48 * * * * | 2 0 1 0 1 0 2 0 0 | 1 2 2 0 0 0 2 2 0 2 | 1 2 1 0 1 2demi( . . x . . ) | 2 | * 96 * * * | 1 1 0 1 0 1 0 0 1 | 1 1 0 0 1 1 2 0 2 1 | 1 1 0 1 1 2 s 2 . s | 2 | * * 96 * * | 0 0 0 1 0 0 2 2 0 | 0 0 1 1 0 0 2 2 2 0 | 0 1 1 1 0 2 q . . . o4s | 2 | * * * 48 * | 0 0 0 0 1 0 0 2 2 | 0 0 0 1 1 0 0 2 2 2 | 0 0 1 1 1 2 qsefa( s4x . . . ) | 2 | * * * * 48 | 0 0 1 0 0 2 2 0 0 | 0 2 2 0 0 1 2 1 0 0 | 1 2 1 0 0 1 w------------------+----+----------------+----------------------------+------------------------------+--------------demi( . x x . . ) | 4 | 2 2 0 0 0 | 48 * * * * * * * * | 1 1 0 0 0 0 1 0 0 1 | 1 1 0 0 1 1demi( . . x3o . ) | 3 | 0 3 0 0 0 | * 32 * * * * * * * | 1 0 0 0 1 1 0 0 1 0 | 1 0 0 1 1 1 s4x . . . | 4 | 2 0 0 0 2 | * * 24 * * * * * * | 0 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 x2w s 2 x 2 s | 4 | 0 2 2 0 0 | * * * 48 * * * * * | 0 0 0 0 0 0 2 0 2 0 | 0 1 0 1 0 2 x2q . x 2 o4s | 4 | 2 0 0 2 0 | * * * * 24 * * * * | 0 0 0 0 0 0 0 2 0 2 | 0 0 1 0 1 2 x2qsefa( s4x2x . . ) | 4 | 0 2 0 0 2 | * * * * * 48 * * * | 0 1 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 x2wsefa( s4x 2 s ) | 4 | 1 0 2 0 1 | * * * * * * 96 * * | 0 0 1 0 0 0 1 1 0 0 | 0 1 1 0 0 1 xw&#q (traz)sefa( s 2 o4s ) | 3 | 0 0 2 1 0 | * * * * * * * 96 * | 0 0 0 1 0 0 0 1 1 0 | 0 0 1 1 0 1 q3osefa( . . x3o4s ) | 6 | 0 3 0 3 0 | * * * * * * * * 32 | 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 q3x------------------+----+----------------+----------------------------+------------------------------+--------------demi( . x x3o . ) | 6 | 3 6 0 0 0 | 3 2 0 0 0 0 0 0 0 |16 * * * * * * * * * | 1 0 0 0 1 0trip s4x2x . . | 8 | 4 4 0 0 4 | 2 0 2 0 0 2 0 0 0 | * 24 * * * * * * * * | 1 1 0 0 0 0x2x2w s4x 2 s | 8 | 4 0 4 0 4 | 0 0 2 0 0 0 4 0 0 | * * 24 * * * * * * * | 0 1 1 0 0 0 wx2xw&#q,recta variant s 2 o4s | 4 | 0 0 4 2 0 | 0 0 0 0 0 0 0 4 0 | * * * 24 * * * * * * | 0 0 1 1 0 0 q-tet . . x3o4s | 12 | 0 12 0 6 0 | 0 4 0 0 0 0 0 0 4 | * * * * 8 * * * * * | 0 0 0 1 1 0q3x3osefa( s4x2x3o . ) | 6 | 0 6 0 0 3 | 0 2 0 0 0 3 0 0 0 | * * * * * 16 * * * * | 1 0 0 0 0 1 w x3o, talltrip variantsefa( s4x2x 2 s ) | 8 | 2 4 4 0 2 | 1 0 0 2 0 1 2 0 0 | * * * * * * 48 * * * | 0 1 0 0 0 1 xx2xw&#q,trazipsefa( s4x 2 o4s ) | 6 | 2 0 4 2 1 | 0 0 0 0 1 0 2 2 0 | * * * * * * * 48 * * | 0 0 1 0 0 1 wx2oq&#q, wedge-liketrip variantsefa( s 2 x3o4s ) | 9 | 0 6 6 3 0 | 0 1 0 3 0 0 0 3 1 | * * * * * * * * 32 * | 0 0 0 1 0 1 xx3oq&#q,tricu variantsefa( . x2x3o4s ) | 12 | 6 6 0 6 0 | 3 0 0 0 3 0 0 0 2 | * * * * * * * * * 16 | 0 0 0 0 1 1 x q3x,hip variant------------------+----+----------------+----------------------------+------------------------------+-------------- s4x2x3o . | 12 | 6 12 0 0 6 | 6 4 3 0 0 6 0 0 0 | 2 3 0 0 0 2 0 0 0 0 | 8 * * * * * w x x3o,tisdip variant s4x2x 2 s | 16 | 8 8 8 0 8 | 4 0 4 4 0 4 8 0 0 | 0 2 2 0 0 0 4 0 0 0 | * 12 * * * * xx2wx2xw&#q, recta prism s4x 2 o4s | 16 | 8 0 16 8 8 | 0 0 4 0 4 0 16 16 0 | 0 0 4 4 0 0 0 8 0 0 | * * 6 * * *dispap s 2 x3o4s | 24 | 0 24 24 12 0 | 0 8 0 12 0 0 0 24 8 | 0 0 0 6 2 0 0 0 8 0 | * * * 4 * *tuta variant . x2x3o4s | 24 | 12 24 0 12 0 | 12 8 0 0 6 0 0 0 8 | 4 0 0 0 2 0 0 0 0 4 | * * * * 4 *tuttip variantsefa( s4x2x3o4s ) | 18 | 6 12 12 6 3 | 3 2 0 6 3 3 6 6 2 | 0 0 0 0 0 1 3 3 2 1 | * * * * * 16wx2xx3oq&#qstarting figure:x4x x3o4x
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