Acronym | snip / snad |
Name |
s3s3s3s, snub pentachoron / snub decachoron, non-uniform alternation of gippid |
Net |
© |
Circumradius | ... |
Face vector | 60, 270, 300, 90 |
Confer |
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External links |
No uniform realisation is possible, as can be seen from the vertex figure. Accordingly this describes a variety of polychora, depending on applied edge sizes. J. Bowers distinguishes in his acronyms between the only pennic symmetric cases (snip) and the fully decaic symmetric ones (snad).
Incidence matrix according to Dynkin symbol
s3s3s3s demi( . . . . ) | 60 | 1 1 1 2 2 2 | 1 1 1 3 3 3 3 | 1 1 1 1 4 -----------------+----+-------------------+----------------------+------------- s 2 s . | 2 | 30 * * * * * | 0 0 0 2 0 2 0 | 1 0 1 0 2 s . . s2*a | 2 | * 30 * * * * | 0 0 0 0 2 2 0 | 0 1 1 0 2 . s 2 s | 2 | * * 30 * * * | 0 0 0 0 2 0 2 | 0 1 0 1 2 sefa( s3s . . ) | 2 | * * * 60 * * | 1 0 0 1 1 0 0 | 1 1 0 0 1 sefa( . s3s . ) | 2 | * * * * 60 * | 0 1 0 1 0 0 1 | 1 0 0 1 1 sefa( . . s3s ) | 2 | * * * * * 60 | 0 0 1 0 0 1 1 | 0 0 1 1 1 -----------------+----+-------------------+----------------------+------------- s3s . . ♦ 3 | 0 0 0 3 0 0 | 20 * * * * * * | 1 1 0 0 0 . s3s . ♦ 3 | 0 0 0 0 3 0 | * 20 * * * * * | 1 0 0 1 0 . . s3s ♦ 3 | 0 0 0 0 0 3 | * * 20 * * * * | 0 0 1 1 0 sefa( s3s3s . ) | 3 | 1 0 0 1 1 0 | * * * 60 * * * | 1 0 0 0 1 sefa( s3s 2 s ) | 3 | 0 1 1 1 0 0 | * * * * 60 * * | 0 1 0 0 1 sefa( s 2 s3s ) | 3 | 1 1 0 0 0 1 | * * * * * 60 * | 0 0 1 0 1 sefa( . s3s3s ) | 3 | 0 0 1 0 1 1 | * * * * * * 60 | 0 0 0 1 1 -----------------+----+-------------------+----------------------+------------- s3s3s . ♦ 12 | 6 0 0 12 12 0 | 4 4 0 12 0 0 0 | 5 * * * * s3s 2 s ♦ 6 | 0 3 3 6 0 0 | 2 0 0 0 6 0 0 | * 10 * * * s 2 s3s ♦ 6 | 3 3 0 0 0 6 | 0 0 2 0 0 6 0 | * * 10 * * . s3s3s ♦ 12 | 0 0 6 0 12 12 | 0 4 4 0 0 0 12 | * * * 5 * sefa( s3s3s3s ) ♦ 4 | 1 1 1 1 1 1 | 0 0 0 1 1 1 1 | * * * * 60
or demi( . . . . ) | 60 | 2 1 4 2 | 2 1 6 6 | 2 2 4 ------------------+----+--------------+---------------+--------- s 2 s . & | 2 | 60 * * * | 0 0 2 2 | 1 1 1 s . . s2*a | 2 | * 30 * * | 0 0 0 4 | 0 2 2 sefa( s3s . . ) & | 2 | * * 120 * | 1 0 1 1 | 1 1 1 sefa( . s3s . ) | 2 | * * * 60 | 0 1 2 0 | 2 0 1 ------------------+----+--------------+---------------+--------- s3s . . & ♦ 3 | 0 0 3 0 | 40 * * * | 1 1 0 . s3s . ♦ 3 | 0 0 0 3 | * 20 * * | 2 0 0 sefa( s3s3s . ) & | 3 | 1 0 1 1 | * * 120 * | 1 0 1 sefa( s3s 2 s ) & | 3 | 1 1 1 0 | * * * 120 | 0 1 1 ------------------+----+--------------+---------------+--------- s3s3s . & ♦ 12 | 6 0 12 12 | 4 4 12 0 | 10 * * s3s 2 s & ♦ 6 | 3 3 6 0 | 2 0 0 6 | * 20 * sefa( s3s3s3s ) ♦ 4 | 2 1 2 1 | 0 0 2 2 | * * 60 starting figure: x3x3x3x
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