- general polytopal classes:
- segmentotera
links
| Acronym | squasnid |
| Name | square - snub-dodecahedron duoprism |
| Circumradius | sqrt[234+42 sqrt(5)+6 cbrt[20448+9140 sqrt(5)+12 sqrt(7137+3192 sqrt(5))]+6 cbrt[20448+9140 sqrt(5)-12 sqrt(7137+3192 sqrt(5))]]/12 = 2.268840 |
| Face vector | 240, 840, 1028, 522, 96 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x4o s3s5s . . demi( . . . ) | 240 | 2 1 2 2 | 1 2 1 1 4 4 3 | 1 2 2 1 2 2 6 | 1 1 2 3 ------------------+-----+-----------------+--------------------------+----------------------+----------- x . demi( . . . ) | 2 | 240 * * * | 1 1 0 0 2 2 0 | 1 1 1 0 2 2 3 | 1 1 1 3 . . s 2 s | 2 | * 120 * * | 0 2 0 0 0 0 2 | 1 0 0 1 0 0 4 | 0 0 2 2 . . sefa( s3s . ) | 2 | * * 240 * | 0 0 1 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . sefa( . s5s ) | 2 | * * * 240 | 0 0 0 1 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ------------------+-----+-----------------+--------------------------+----------------------+----------- x4o demi( . . . ) | 4 | 4 0 0 0 | 60 * * * * * * | 1 0 0 0 2 2 0 | 1 1 0 3 x . s 2 s | 4 | 2 2 0 0 | * 120 * * * * * | 1 0 0 0 0 0 2 | 0 0 1 2 . . s3s . ♦ 3 | 0 0 3 0 | * * 80 * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 . . . s5s ♦ 5 | 0 0 0 5 | * * * 48 * * * | 0 0 2 1 0 0 0 | 0 1 2 0 x . sefa( s3s . ) | 4 | 2 0 2 0 | * * * * 240 * * | 0 1 0 0 1 0 1 | 1 0 1 1 x . sefa( . s5s ) | 4 | 2 0 0 2 | * * * * * 240 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . sefa( s3s5s ) | 3 | 0 1 1 1 | * * * * * * 240 | 0 0 0 1 0 0 2 | 0 0 2 1 ------------------+-----+-----------------+--------------------------+----------------------+----------- x4o s 2 s ♦ 8 | 8 4 0 0 | 2 4 0 0 0 0 0 | 30 * * * * * * | 0 0 0 2 x . s3s . ♦ 6 | 3 0 6 0 | 0 0 2 0 3 0 0 | * 80 * * * * * | 1 0 1 0 x . . s5s ♦ 10 | 5 0 0 10 | 0 0 0 2 0 5 0 | * * 48 * * * * | 0 1 1 0 . . s3s5s ♦ 60 | 0 30 60 60 | 0 0 20 12 0 0 60 | * * * 4 * * * | 0 0 2 0 x4o sefa( s3s . ) ♦ 8 | 8 0 4 0 | 2 0 0 0 4 0 0 | * * * * 60 * * | 1 0 0 1 x4o sefa( . s5s ) ♦ 8 | 8 0 0 4 | 2 0 0 0 0 4 0 | * * * * * 60 * | 0 1 0 1 x . sefa( s3s5s ) ♦ 6 | 3 2 2 2 | 0 1 0 0 1 1 2 | * * * * * * 240 | 0 0 1 1 ------------------+-----+-----------------+--------------------------+----------------------+----------- x4o s3s . ♦ 12 | 12 0 12 0 | 3 0 4 0 12 0 0 | 0 4 0 0 3 0 0 | 20 * * * x4o . s5s ♦ 20 | 20 0 0 20 | 5 0 0 4 0 20 0 | 0 0 4 0 0 5 0 | * 12 * * x . s3s5s ♦ 120 | 60 60 120 120 | 0 30 40 24 60 60 120 | 0 20 12 2 0 0 60 | * * 4 * x4o sefa( s3s5s ) ♦ 12 | 12 4 4 4 | 3 4 0 0 4 4 4 | 1 0 0 0 1 1 4 | * * * 60 starting figure: x4o x3x5x
x x s3s5s . . demi( . . . ) | 240 | 1 1 1 2 2 | 1 1 1 1 1 2 2 2 2 3 | 1 1 1 1 1 1 2 2 3 3 | 1 1 1 1 3 ------------------+-----+---------------------+------------------------------------+--------------------------------+------------- x . demi( . . . ) | 2 | 120 * * * * | 1 1 0 0 0 2 0 2 0 0 | 1 1 0 1 0 0 2 2 3 0 | 1 1 1 0 3 . x demi( . . . ) | 2 | * 120 * * * | 1 0 1 0 0 0 2 0 2 0 | 1 0 1 0 1 0 2 2 0 3 | 1 1 0 1 3 . . s 2 s | 2 | * * 120 * * | 0 1 1 0 0 0 0 0 0 2 | 1 0 0 0 0 1 0 0 2 2 | 0 0 1 1 2 . . sefa( s3s . ) | 2 | * * * 240 * | 0 0 0 1 0 1 1 0 0 1 | 0 1 1 0 0 1 1 0 1 1 | 1 0 1 1 1 . . sefa( . s5s ) | 2 | * * * * 240 | 0 0 0 0 1 0 0 1 1 1 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1 ------------------+-----+---------------------+------------------------------------+--------------------------------+------------- x x demi( . . . ) | 4 | 2 2 0 0 0 | 60 * * * * * * * * * | 1 0 0 0 0 0 2 2 0 0 | 1 1 0 0 3 x . s 2 s | 4 | 2 0 2 0 0 | * 48 * * * * * * * * | 1 0 0 0 0 0 0 0 2 0 | 0 0 1 0 2 . x s 2 s | 4 | 0 2 2 0 0 | * * 48 * * * * * * * | 1 0 0 0 0 0 0 0 0 2 | 0 0 0 1 2 . . s3s . ♦ 3 | 0 0 0 3 0 | * * * 80 * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0 . . . s5s ♦ 4 | 0 0 0 0 4 | * * * * 48 * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 x . sefa( s3s . ) | 4 | 2 0 0 2 0 | * * * * * 120 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x sefa( s3s . ) | 4 | 0 2 0 2 0 | * * * * * * 120 * * * | 0 0 1 0 0 0 1 0 0 1 | 1 0 0 1 1 x . sefa( . s5s ) | 4 | 2 0 0 0 2 | * * * * * * * 120 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 . x sefa( . s5s ) | 4 | 0 2 0 0 2 | * * * * * * * * 120 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . sefa( s3s5s ) | 3 | 0 0 1 1 1 | * * * * * * * * * 240 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------------+-----+---------------------+------------------------------------+--------------------------------+------------- x x s 2 s ♦ 8 | 4 4 4 0 0 | 2 2 2 0 0 0 0 0 0 0 | 30 * * * * * * * * * | 0 0 0 0 2 x . s3s . ♦ 6 | 3 0 0 6 0 | 0 0 0 2 0 3 0 0 0 0 | * 40 * * * * * * * * | 1 0 1 0 0 . x s3s . ♦ 6 | 0 3 0 6 0 | 0 0 0 2 0 0 3 0 0 0 | * * 40 * * * * * * * | 1 0 0 1 0 x . . s5s ♦ 10 | 5 0 0 0 10 | 0 0 0 0 2 0 0 5 0 0 | * * * 24 * * * * * * | 0 1 1 0 0 . x . s5s ♦ 10 | 0 5 0 0 10 | 0 0 0 0 2 0 0 0 5 0 | * * * * 24 * * * * * | 0 1 0 1 0 . . s3s5s ♦ 60 | 0 0 30 60 60 | 0 0 0 20 12 0 0 0 0 60 | * * * * * 4 * * * * | 0 0 1 1 0 x x sefa( s3s . ) ♦ 8 | 4 4 0 4 0 | 2 0 0 0 0 2 2 0 0 0 | * * * * * * 60 * * * | 1 0 0 0 1 x x sefa( . s5s ) ♦ 8 | 4 4 0 0 4 | 2 0 0 0 0 0 0 2 2 0 | * * * * * * * 60 * * | 0 1 0 0 1 x . sefa( s3s5s ) ♦ 6 | 3 0 2 2 2 | 0 1 0 0 0 1 0 1 0 2 | * * * * * * * * 120 * | 0 0 1 0 1 . x sefa( s3s5s ) ♦ 6 | 0 3 2 2 2 | 0 0 1 0 0 0 1 0 1 2 | * * * * * * * * * 120 | 0 0 0 1 1 ------------------+-----+---------------------+------------------------------------+--------------------------------+------------- x x s3s . ♦ 12 | 6 6 0 12 0 | 3 0 0 4 0 6 6 0 0 0 | 0 2 2 0 0 0 3 0 0 0 | 20 * * * * x x . s5s ♦ 20 | 10 10 0 0 20 | 5 0 0 0 5 0 0 10 10 0 | 0 0 0 2 2 0 0 5 0 0 | * 12 * * * x . s3s5s ♦ 120 | 60 0 60 120 120 | 0 30 0 40 24 60 0 60 0 120 | 0 20 0 12 0 2 0 0 60 0 | * * 2 * * . x s3s5s ♦ 120 | 0 60 60 120 120 | 0 0 30 40 24 0 60 0 60 120 | 0 0 20 0 12 2 0 0 0 60 | * * * 2 * x x sefa( s3s5s ) ♦ 12 | 6 6 4 4 4 | 3 2 2 0 0 2 2 2 2 4 | 1 0 0 0 0 0 1 1 2 2 | * * * * 60 starting figure: x x x3x5x
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