(fully) snubbed icositetrachoron (butnotsadi) / snubbed tetracontoctachoron,
non-uniform alternation ofgippic
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| Acronym | sni (old: snico) / snoc |
| Name | s3s4s3s, (fully) snubbed icositetrachoron (butnotsadi) / snubbed tetracontoctachoron, non-uniform alternation ofgippic |
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| Circumradius | ... |
| Face vector | 576, 2592, 2832, 816 |
| External links | |
No uniform realisation is possible.Accordingly this describes a variety of polychora, depending on applied edge sizes. J. Bowers distinguishes in his acronymsbetween the only icoic symmetric cases (sni / snico) and the fully contic symmetric ones (snoc).
Incidence matrix according toDynkin symbol
s3s4s3sdemi( . . . . ) |576 | 1 1 1 2 2 2 | 1 1 1 3 3 3 3 | 1 1 1 1 4----------------+-----+-------------------------+-----------------------------+----------------demi( s 2 s . ) | 2 | 288 * * * * * | 0 0 0 2 0 2 0 | 1 0 1 0 2demi( s .2. s ) | 2 | * 288 * * * * | 0 0 0 0 2 2 0 | 0 1 1 0 2demi( . s 2 s ) | 2 | * * 288 * * * | 0 0 0 0 2 0 2 | 0 1 0 1 2sefa( s3s . . ) | 2 | * * * 576 * * | 1 0 0 1 1 0 0 | 1 1 0 0 1sefa( . s4s . ) | 2 | * * * * 576 * | 0 1 0 1 0 0 1 | 1 0 0 1 1sefa( . . s3s ) | 2 | * * * * * 576 | 0 0 1 0 0 1 1 | 0 0 1 1 1----------------+-----+-------------------------+-----------------------------+---------------- s3s . .♦ 3 | 0 0 0 3 0 0 | 192 * * * * * * | 1 1 0 0 0 . s4s .♦ 4 | 0 0 0 0 4 0 | * 144 * * * * * | 1 0 0 1 0 . . s3s♦ 3 | 0 0 0 0 0 3 | * * 192 * * * * | 0 0 1 1 0sefa( s3s4s . ) | 3 | 1 0 0 1 1 0 | * * * 576 * * * | 1 0 0 0 1sefa( s3s 2 s ) | 3 | 0 1 1 1 0 0 | * * * * 576 * * | 0 1 0 0 1sefa( s 2 s3s ) | 3 | 1 1 0 0 0 1 | * * * * * 576 * | 0 0 1 0 1sefa( . s4s3s ) | 3 | 0 0 1 0 1 1 | * * * * * * 576 | 0 0 0 1 1----------------+-----+-------------------------+-----------------------------+---------------- s3s4s .♦ 24 | 12 0 0 24 24 0 | 8 6 0 24 0 0 0 | 24 * * * * s3s 2 s♦ 6 | 0 3 3 6 0 0 | 2 0 0 0 6 0 0 | * 96 * * * s 2 s3s♦ 6 | 3 3 0 0 0 6 | 0 0 2 0 0 6 0 | * * 96 * * . s4s3s♦ 24 | 0 0 12 0 24 24 | 0 6 8 0 0 0 24 | * * * 24 *sefa( s3s4s3s )♦ 4 | 1 1 1 1 1 1 | 0 0 0 1 1 1 1 | * * * * 576
ordemi( . . . . ) |576 | 2 1 4 2 | 2 1 6 6 | 2 2 4-------------------+-----+------------------+-------------------+-----------demi( s 2 s . ) & | 2 | 576 * * * | 0 0 2 2 | 1 1 2demi( s .2. s ) | 2 | * 288 * * | 0 0 0 4 | 0 2 2sefa( s3s . . ) & | 2 | * * 1152 * | 1 0 1 1 | 1 1 1sefa( . s4s . ) | 2 | * * * 576 | 0 1 2 0 | 2 0 1-------------------+-----+------------------+-------------------+----------- s3s . . &♦ 3 | 0 0 3 0 | 384 * * * | 1 1 0 . s4s .♦ 4 | 0 0 0 4 | * 144 * * | 2 0 0sefa( s3s4s . ) & | 3 | 1 0 1 1 | * * 1152 * | 1 0 1sefa( s3s 2 s ) & | 3 | 1 1 1 0 | * * * 1152 | 0 1 1-------------------+-----+------------------+-------------------+----------- s3s4s . &♦ 24 | 12 0 24 24 | 8 6 24 0 | 48 * * s3s 2 s &♦ 6 | 3 3 6 0 | 2 0 0 6 | * 192 *sefa( s3s4s3s )♦ 4 | 2 1 2 1 | 0 0 2 2 | * * 576starting figure:x3x4x3x
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