Acronym | sniccup, K-4.60 |
Name |
snub-cube prism, snub-cuboctahedron prism |
Cross sections |
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Circumradius | sqrt[(13+cbrt[199+3 sqrt(33)]+cbrt[199-3 sqrt(33)])/12] = 1.433724 |
Dihedral angles | |
Face vector | 48, 144, 136, 40 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x s3s4s . demi( . . . ) | 48 | 1 1 2 2 | 1 1 1 2 2 3 | 1 1 1 3 ----------------+----+-------------+-------------------+--------- . ( s 2 s ) | 2 | 24 * * * | 1 0 0 0 0 2 | 0 0 1 2 x demi( . . . ) | 2 | * 24 * * | 1 0 0 2 2 0 | 1 1 0 3 . sefa( s3s . ) | 2 | * * 48 * | 0 1 0 1 0 1 | 1 0 1 1 . sefa( . s4s ) | 2 | * * * 48 | 0 0 1 0 1 1 | 0 1 1 1 ----------------+----+-------------+-------------------+--------- x ( s 2 s ) | 4 | 0 2 2 0 | 12 * * * * * | 1 0 0 1 . s3s . ♦ 3 | 0 0 3 0 | * 16 * * * * | 1 0 1 0 . . s4s ♦ 4 | 0 0 0 4 | * * 12 * * * | 0 1 1 0 x sefa( s3s . ) | 4 | 2 2 0 0 | * * * 24 * * | 0 0 0 2 x sefa( . s4s ) | 4 | 0 2 0 2 | * * * * 24 * | 0 1 0 1 . sefa( s3s4s ) | 3 | 1 0 1 1 | * * * * * 48 | 0 0 1 1 ----------------+----+-------------+-------------------+--------- x s3s . ♦ 6 | 0 3 6 0 | 0 2 0 3 0 0 | 8 * * * x . s4s ♦ 8 | 0 4 0 8 | 0 0 2 0 4 0 | * 6 * * . s3s4s ♦ 24 | 12 0 24 24 | 0 8 6 0 0 24 | * * 2 * x sefa( s3s4s ) ♦ 6 | 2 3 2 2 | 1 0 0 1 1 2 | * * * 24 starting figure: x x3x4x
s3s4s || s3s4s (snic || snic) demi( . . . ) | 24 * | 1 2 2 1 0 0 0 | 1 1 3 1 2 2 0 0 0 | 1 1 1 3 0 demi( . . . ) | * 24 | 0 0 0 1 1 2 2 | 0 0 0 1 2 2 1 1 3 | 0 1 1 3 1 ------------------------------+-------+----------------------+------------------------+----------- s 2 s | 2 0 | 12 * * * * * * | 0 0 2 1 0 0 0 0 0 | 1 0 0 2 0 sefa( s3s . ) | 2 0 | * 24 * * * * * | 1 0 1 0 1 0 0 0 0 | 1 1 0 1 0 sefa( . s4s ) | 2 0 | * * 24 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0 demi( . . . ) || demi( . . . ) | 1 1 | * * * 24 * * * | 0 0 0 1 2 2 0 0 0 | 0 1 1 3 0 s 2 s | 0 2 | * * * * 12 * * | 0 0 0 1 0 0 0 0 2 | 0 0 0 2 1 sefa( s3s . ) | 0 2 | * * * * * 24 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1 sefa( . s4s ) | 0 2 | * * * * * * 24 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 ------------------------------+-------+----------------------+------------------------+----------- s3s . ♦ 3 0 | 0 3 0 0 0 0 0 | 8 * * * * * * * * | 1 1 0 0 0 . s4s ♦ 4 0 | 0 0 4 0 0 0 0 | * 6 * * * * * * * | 1 0 1 0 0 sefa( s3s4s ) | 3 0 | 1 1 1 0 0 0 0 | * * 24 * * * * * * | 1 0 0 1 0 s 2 s || s 2 s | 2 2 | 1 0 0 2 1 0 0 | * * * 12 * * * * * | 0 0 0 2 0 sefa( s3s . ) || sefa( s3s . ) | 2 2 | 0 1 0 2 0 1 0 | * * * * 24 * * * * | 0 1 0 1 0 sefa( . s4s ) || sefa( . s4s ) | 2 2 | 0 0 1 2 0 0 1 | * * * * * 24 * * * | 0 0 1 1 0 s3s . ♦ 0 3 | 0 0 0 0 0 3 0 | * * * * * * 8 * * | 0 1 0 0 1 . s4s ♦ 0 4 | 0 0 0 0 0 0 4 | * * * * * * * 6 * | 0 0 1 0 1 sefa( s3s4s ) | 0 3 | 0 0 0 0 1 1 1 | * * * * * * * * 24 | 0 0 0 1 1 ------------------------------+-------+----------------------+------------------------+----------- s3s4s ♦ 24 0 | 12 24 24 0 0 0 0 | 8 6 24 0 0 0 0 0 0 | 1 * * * * s3s . || s3s . ♦ 3 3 | 0 3 0 3 0 3 0 | 1 0 0 0 3 0 1 0 0 | * 8 * * * . s4s || . s4s ♦ 4 4 | 0 0 4 4 0 0 4 | 0 1 0 0 0 4 0 1 0 | * * 6 * * sefa( s3s4s ) || sefa( s3s4s ) ♦ 3 3 | 1 1 1 3 1 1 1 | 0 0 1 1 1 1 0 0 1 | * * * 24 * s3s4s ♦ 0 24 | 0 0 0 0 12 24 24 | 0 0 0 0 0 0 8 6 24 | * * * * 1
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