snub-disicositetrachoron prism,
semistruncated-icositetrachoron prism
where τ = (1+sqrt(5))/2
- general polytopal classes:
- segmentotera
links
| Acronym | sadip |
| Name |
snub-icositetrachoron prism, snub-disicositetrachoron prism, semistruncated-icositetrachoron prism |
| Circumradius | sqrt[7+2 sqrt(5)]/2 = 1.693527 |
| Coordinates |
(τ2/2, τ/2, 1/2, 0, 1/2) & even permutations in all but last coord., all changes of sign where τ = (1+sqrt(5))/2 |
| Face vector | 192, 960, 1392, 768, 146 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x s3s4o3o . demi( . . . . ) | 192 | 1 3 6 | 3 6 3 9 3 | 3 9 3 3 1 4 | 3 1 4 1 ------------------+-----+------------+---------------------+---------------------+----------- x . . . . | 2 | 96 * * ♦ 3 6 0 0 0 | 3 9 3 0 0 0 | 3 1 4 0 . . s4o . | 2 | * 288 * | 1 0 0 2 2 | 0 2 2 1 1 2 | 1 1 2 1 . sefa( s3s . . ) | 2 | * * 576 | 0 1 1 2 0 | 1 2 0 2 0 1 | 2 0 1 1 ------------------+-----+------------+---------------------+---------------------+----------- x . s4o . | 4 | 2 2 0 | 144 * * * * | 0 2 2 0 0 0 | 1 1 2 0 x sefa( s3s . . ) | 4 | 2 0 2 | * 288 * * * | 1 2 0 0 0 0 | 2 0 1 0 . s3s . . ♦ 3 | 0 0 3 | * * 192 * * | 1 0 0 2 0 0 | 2 0 0 1 . sefa( s3s4o . ) | 3 | 0 1 2 | * * * 576 * | 0 1 0 1 0 1 | 1 0 1 1 . sefa( . s4o3o ) | 3 | 0 3 0 | * * * * 192 | 0 0 1 0 1 1 | 0 1 1 1 ------------------+-----+------------+---------------------+---------------------+----------- x s3s . . ♦ 6 | 3 0 6 | 0 3 2 0 0 | 96 * * * * * | 2 0 0 0 x sefa( s3s4o . ) ♦ 6 | 3 2 4 | 1 2 0 2 0 | * 288 * * * * | 1 0 1 0 x sefa( . s4o3o ) ♦ 6 | 3 6 0 | 3 0 0 0 2 | * * 96 * * * | 0 1 1 0 . s3s4o . ♦ 12 | 0 6 24 | 0 0 8 12 0 | * * * 48 * * | 1 0 0 1 . . s4o3o ♦ 4 | 0 6 0 | 0 0 0 0 4 | * * * * 48 * | 0 1 0 1 . sefa( s3s4o3o ) ♦ 4 | 0 3 3 | 0 0 0 3 1 | * * * * * 192 | 0 0 1 1 ------------------+-----+------------+---------------------+---------------------+----------- x s3s4o . ♦ 24 | 12 12 48 | 6 24 16 24 0 | 8 12 0 2 0 0 | 24 * * * x . s4o3o ♦ 8 | 4 12 0 | 6 0 0 0 8 | 0 0 4 0 2 0 | * 24 * * x sefa( s3s4o3o ) ♦ 8 | 4 6 6 | 3 3 0 6 2 | 0 3 1 0 0 2 | * * 96 * . s3s4o3o ♦ 96 | 0 144 288 | 0 0 96 288 96 | 0 0 0 24 24 96 | * * * 2
x s3s3s4o . demi( . . . . ) | 192 | 1 2 1 2 4 | 2 1 2 4 1 2 6 3 3 | 1 2 6 3 3 2 1 1 4 | 2 1 1 4 1 ------------------+-----+-------------------+---------------------------------+------------------------------+------------- x . . . . | 2 | 96 * * * * ♦ 2 1 2 4 0 0 0 0 0 | 1 2 6 3 3 0 0 0 0 | 2 1 1 4 0 . s 2 s . | 2 | * 192 * * * | 1 0 0 0 0 0 2 2 0 | 0 0 2 2 0 1 1 0 2 | 1 1 0 2 1 . . . s4o | 2 | * * 96 * * | 0 1 0 0 0 0 0 2 2 | 0 0 0 2 2 0 1 1 2 | 0 1 1 2 1 . sefa( s3s . . ) | 2 | * * * 192 * | 0 0 1 0 1 0 2 0 0 | 1 0 2 0 0 2 0 0 1 | 2 0 0 1 1 . sefa( . s3s . ) | 2 | * * * * 384 | 0 0 0 1 0 1 1 0 1 | 0 1 1 0 1 1 0 1 1 | 1 0 1 1 1 ------------------+-----+-------------------+---------------------------------+------------------------------+------------- x s 2 s . | 4 | 2 2 0 0 0 | 96 * * * * * * * * | 0 0 2 2 0 0 0 0 0 | 1 1 0 2 0 x . . s4o | 4 | 2 0 2 0 0 | * 48 * * * * * * * | 0 0 0 2 2 0 0 0 0 | 0 1 1 2 0 x sefa( s3s . . ) | 4 | 2 0 0 2 0 | * * 96 * * * * * * | 1 0 2 0 0 0 0 0 0 | 2 0 0 1 0 x sefa( . s3s . ) | 4 | 2 0 0 0 2 | * * * 192 * * * * * | 0 1 1 0 1 0 0 0 0 | 1 0 1 1 0 . s3s . . ♦ 3 | 0 0 0 3 0 | * * * * 64 * * * * | 1 0 0 0 0 2 0 0 0 | 2 0 0 0 1 . . s3s . ♦ 3 | 0 0 0 0 3 | * * * * * 128 * * * | 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 . sefa( s3s3s . ) | 3 | 0 1 0 1 1 | * * * * * * 384 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . sefa( s 2 s4o ) | 3 | 0 2 1 0 0 | * * * * * * * 192 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . sefa( . s3s4o ) | 3 | 0 0 1 0 2 | * * * * * * * * 192 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ------------------+-----+-------------------+---------------------------------+------------------------------+------------- x s3s . . ♦ 6 | 3 0 0 6 0 | 0 0 3 0 2 0 0 0 0 | 32 * * * * * * * * | 2 0 0 0 0 x . s3s . ♦ 6 | 3 0 0 0 6 | 0 0 0 3 0 2 0 0 0 | * 64 * * * * * * * | 1 0 1 0 0 x sefa( s3s3s . ) ♦ 6 | 3 2 0 2 2 | 1 0 1 1 0 0 2 0 0 | * * 192 * * * * * * | 1 0 0 1 0 x sefa( s 2 s4o ) ♦ 6 | 3 4 2 0 0 | 2 1 0 0 0 0 0 2 0 | * * * 96 * * * * * | 0 1 0 1 0 x sefa( . s3s4o ) ♦ 6 | 3 0 2 0 4 | 0 1 0 2 0 0 0 0 2 | * * * * 96 * * * * | 0 0 1 1 0 . s3s3s . ♦ 12 | 0 6 0 12 12 | 0 0 0 0 4 4 12 0 0 | * * * * * 32 * * * | 1 0 0 0 1 . s 2 s4o ♦ 4 | 0 4 2 0 0 | 0 0 0 0 0 0 0 4 0 | * * * * * * 48 * * | 0 1 0 0 1 . . s3s4o ♦ 12 | 0 0 6 0 24 | 0 0 0 0 0 8 0 0 12 | * * * * * * * 16 * | 0 0 1 0 1 . sefa( s3s3s4o ) ♦ 4 | 0 2 1 1 2 | 0 0 0 0 0 0 2 1 1 | * * * * * * * * 192 | 0 0 0 1 1 ------------------+-----+-------------------+---------------------------------+------------------------------+------------- x s3s3s . ♦ 24 | 12 12 0 24 24 | 6 0 12 12 8 8 24 0 0 | 4 4 12 0 0 2 0 0 0 | 16 * * * * x s 2 s4o ♦ 8 | 4 8 4 0 0 | 4 2 0 0 0 0 0 8 0 | 0 0 0 4 0 0 2 0 0 | * 24 * * * x . s3s4o ♦ 24 | 12 0 12 0 48 | 0 6 0 24 0 16 0 0 24 | 0 8 0 0 12 0 0 2 0 | * * 8 * * x sefa( s3s3s4o ) ♦ 8 | 4 4 2 2 4 | 2 1 1 2 0 0 4 2 2 | 0 0 2 1 1 0 0 0 2 | * * * 96 * . s3s3s4o ♦ 96 | 0 96 48 96 192 | 0 0 0 0 32 64 192 96 96 | 0 0 0 0 0 16 24 8 96 | * * * * 2
x s3s3s *c3s . demi( . . . . ) | 192 | 1 1 1 1 2 2 2 | 1 1 1 2 2 2 1 1 1 3 3 3 3 | 1 1 1 3 3 3 3 1 1 1 1 4 | 1 1 1 1 4 1 ---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+-------------- x . . . . | 2 | 96 * * * * * * ♦ 1 1 1 2 2 2 0 0 0 0 0 0 0 | 1 1 1 3 3 3 3 0 0 0 0 0 | 1 1 1 1 4 0 . s 2 s . | 2 | * 96 * * * * * | 1 0 0 0 0 0 0 0 0 2 0 2 0 | 0 0 0 2 0 2 0 1 0 1 0 2 | 1 0 1 0 2 1 . s 2 . s | 2 | * * 96 * * * * | 0 1 0 0 0 0 0 0 0 0 2 2 0 | 0 0 0 0 2 2 0 0 1 1 0 2 | 0 1 1 0 2 1 . . 2 s s | 2 | * * * 96 * * * | 0 0 1 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 2 2 0 0 1 1 2 | 0 0 1 1 2 1 . sefa( s3s . . ) | 2 | * * * * 192 * * | 0 0 0 1 0 0 1 0 0 1 1 0 0 | 1 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1 . sefa( . s3s . ) | 2 | * * * * * 192 * | 0 0 0 0 1 0 0 1 0 1 0 0 1 | 0 1 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1 . sefa( . s . *c3s ) | 2 | * * * * * * 192 | 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1 ---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+-------------- x s 2 s . | 4 | 2 2 0 0 0 0 0 | 48 * * * * * * * * * * * * | 0 0 0 2 0 2 0 0 0 0 0 0 | 1 0 1 0 2 0 x s 2 . s | 4 | 2 0 2 0 0 0 0 | * 48 * * * * * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 | 0 1 1 0 2 0 x . 2 s s | 4 | 2 0 0 2 0 0 0 | * * 48 * * * * * * * * * * | 0 0 0 0 0 2 2 0 0 0 0 0 | 0 0 1 1 2 0 x sefa( s3s . . ) | 4 | 2 0 0 0 2 0 0 | * * * 96 * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0 x sefa( . s3s . ) | 4 | 2 0 0 0 0 2 0 | * * * * 96 * * * * * * * * | 0 1 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0 x sefa( . s . *c3s ) | 4 | 2 0 0 0 0 0 2 | * * * * * 96 * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0 . s3s . . ♦ 3 | 0 0 0 0 3 0 0 | * * * * * * 64 * * * * * * | 1 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1 . . s3s . ♦ 3 | 0 0 0 0 0 3 0 | * * * * * * * 64 * * * * * | 0 1 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1 . . s . *c3s ♦ 3 | 0 0 0 0 0 0 3 | * * * * * * * * 64 * * * * | 0 0 1 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1 . sefa( s3s3s . ) | 3 | 0 1 0 0 1 1 0 | * * * * * * * * * 192 * * * | 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1 . sefa( s3s . *c3s ) | 3 | 0 0 1 0 1 0 1 | * * * * * * * * * * 192 * * | 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1 . sefa( s 2 s 2 s ) | 3 | 0 1 1 1 0 0 0 | * * * * * * * * * * * 192 * | 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1 . sefa( . s3s *c3s ) | 3 | 0 0 0 1 0 1 1 | * * * * * * * * * * * * 192 | 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1 ---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+-------------- x s3s . . ♦ 6 | 3 0 0 0 6 0 0 | 0 0 0 3 0 0 2 0 0 0 0 0 0 | 32 * * * * * * * * * * * | 1 1 0 0 0 0 x . s3s . ♦ 6 | 3 0 0 0 0 6 0 | 0 0 0 0 3 0 0 2 0 0 0 0 0 | * 32 * * * * * * * * * * | 1 0 0 1 0 0 x . s . *c3s ♦ 6 | 3 0 0 0 0 0 6 | 0 0 0 0 0 3 0 0 2 0 0 0 0 | * * 32 * * * * * * * * * | 0 1 0 1 0 0 x sefa( s3s3s . ) ♦ 6 | 3 2 0 0 2 2 0 | 1 0 0 1 1 0 0 0 0 2 0 0 0 | * * * 96 * * * * * * * * | 1 0 0 0 1 0 x sefa( s3s . *c3s ) ♦ 6 | 3 0 2 0 2 0 2 | 0 1 0 1 0 1 0 0 0 0 2 0 0 | * * * * 96 * * * * * * * | 0 1 0 0 1 0 x sefa( s 2 s s ) ♦ 6 | 3 2 2 2 0 0 0 | 1 1 1 0 0 0 0 0 0 0 0 2 0 | * * * * * 96 * * * * * * | 0 0 1 0 1 0 x sefa( . s3s *c3s ) ♦ 6 | 3 0 0 2 0 2 2 | 0 0 1 0 1 1 0 0 0 0 0 0 2 | * * * * * * 96 * * * * * | 0 0 0 1 1 0 . s3s3s . ♦ 12 | 0 6 0 0 12 12 0 | 0 0 0 0 0 0 4 4 0 12 0 0 0 | * * * * * * * 16 * * * * | 1 0 0 0 0 1 . s3s . *c3s ♦ 12 | 0 0 6 0 12 0 12 | 0 0 0 0 0 0 4 0 4 0 12 0 0 | * * * * * * * * 16 * * * | 0 1 0 0 0 1 . s 2 s 2 s ♦ 4 | 0 2 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * 48 * * | 0 0 1 0 0 1 . . s3s *c3s ♦ 12 | 0 0 0 6 0 12 12 | 0 0 0 0 0 0 0 4 4 0 0 0 12 | * * * * * * * * * * 16 * | 0 0 0 1 0 1 . sefa( s3s3s *c3s ) ♦ 4 | 0 1 1 1 1 1 1 | 0 0 0 0 0 0 0 0 0 1 1 1 1 | * * * * * * * * * * * 192 | 0 0 0 0 1 1 ---------------------+-----+-------------------------+--------------------------------------------+--------------------------------------+-------------- x s3s3s . ♦ 24 | 12 12 0 0 24 24 0 | 6 0 0 12 12 0 8 8 0 24 0 0 0 | 4 4 0 12 0 0 0 2 0 0 0 0 | 8 * * * * * x s3s . *c3s ♦ 24 | 12 0 12 0 24 0 24 | 0 6 0 12 0 12 8 0 8 0 24 0 0 | 4 0 4 0 12 0 0 0 2 0 0 0 | * 8 * * * * x s 2 s 2 s ♦ 8 | 4 4 4 4 0 0 0 | 2 2 2 0 0 0 0 0 0 0 0 8 0 | 0 0 0 0 0 4 0 0 0 2 0 0 | * * 24 * * * x . s3s *c3s ♦ 24 | 12 0 0 12 0 24 24 | 0 0 6 0 12 12 0 8 8 0 0 0 24 | 0 4 4 0 0 0 12 0 0 0 2 0 | * * * 8 * * x sefa( s3s3s *c3s ) ♦ 8 | 4 2 2 2 2 2 2 | 1 1 1 1 1 1 0 0 0 2 2 2 2 | 0 0 0 1 1 1 1 0 0 0 0 2 | * * * * 96 * . s3s3s *c3s ♦ 96 | 0 48 48 48 96 96 96 | 0 0 0 0 0 0 32 32 32 96 96 96 96 | 0 0 0 0 0 0 0 8 8 24 8 96 | * * * * * 2
s3s4o3o || s3s4o3o → height = 1 (sadi || sadi) demi( . . . . ) | 96 * | 3 6 1 0 0 | 3 9 3 3 6 0 0 0 | 3 1 4 3 9 3 0 0 0 | 1 3 1 4 0 demi( . . . . ) | * 96 | 0 0 1 3 6 | 0 0 0 3 6 3 9 3 | 0 0 0 3 9 3 3 1 4 | 0 3 1 4 1 ----------------------------------+-------+--------------------+-----------------------------+-----------------------------+------------- . s4o . | 2 0 | 144 * * * * | 0 2 2 1 0 0 0 0 | 1 1 2 0 2 2 0 0 0 | 1 1 1 2 0 sefa( s3s . . ) | 2 0 | * 288 * * * | 1 2 0 0 1 0 0 0 | 2 0 1 1 2 0 0 0 0 | 1 2 0 1 0 demi( . . . . ) || demi( . . . . ) | 1 1 | * * 96 * * ♦ 0 0 0 3 6 0 0 0 | 0 0 0 3 9 3 0 0 0 | 0 3 1 4 0 . s4o . | 0 2 | * * * 144 * | 0 0 0 1 0 0 2 2 | 0 0 0 0 2 2 1 1 2 | 0 1 1 2 1 sefa( s3s . . ) | 0 2 | * * * * 288 | 0 0 0 0 1 1 2 0 | 0 0 0 1 2 0 2 0 1 | 0 2 0 1 1 ----------------------------------+-------+--------------------+-----------------------------+-----------------------------+------------- s3s . . | 3 0 | 0 3 0 0 0 | 96 * * * * * * * | 2 0 0 1 0 0 0 0 0 | 1 2 0 0 0 sefa( s3s4o . ) | 3 0 | 1 2 0 0 0 | * 288 * * * * * * | 1 0 1 0 1 0 0 0 0 | 1 1 0 1 0 sefa( . s4o3o ) | 3 0 | 3 0 0 0 0 | * * 96 * * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0 . s4o . || . s4o . | 2 2 | 1 0 2 1 0 | * * * 144 * * * * | 0 0 0 0 2 2 0 0 0 | 0 1 1 2 0 sefa( s3s . . ) || sefa( s3s . . ) | 2 2 | 0 1 2 0 1 | * * * * 288 * * * | 0 0 0 1 2 0 0 0 0 | 0 2 0 1 0 s3s . . | 0 3 | 0 0 0 0 3 | * * * * * 96 * * | 0 0 0 1 0 0 2 0 0 | 0 2 0 0 1 sefa( s3s4o . ) | 0 3 | 0 0 0 1 2 | * * * * * * 288 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1 sefa( . s4o3o ) | 0 3 | 0 0 0 3 0 | * * * * * * * 96 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 ----------------------------------+-------+--------------------+-----------------------------+-----------------------------+------------- s3s4o . ♦ 12 0 | 6 24 0 0 0 | 8 12 0 0 0 0 0 0 | 24 * * * * * * * * | 1 1 0 0 0 . s4o3o ♦ 4 0 | 6 0 0 0 0 | 0 0 4 0 0 0 0 0 | * 24 * * * * * * * | 1 0 1 0 0 sefa( s3s4o3o ) ♦ 4 0 | 3 3 0 0 0 | 0 3 1 0 0 0 0 0 | * * 96 * * * * * * | 1 0 0 1 0 s3s . . || s3s . . ♦ 3 3 | 0 3 3 0 3 | 1 0 0 0 3 1 0 0 | * * * 96 * * * * * | 0 2 0 0 0 sefa( s3s4o . ) || sefa( s3s4o . ) ♦ 3 3 | 1 2 3 1 2 | 0 1 0 1 2 0 1 0 | * * * * 288 * * * * | 0 1 0 1 0 sefa( . s4o3o ) || sefa( . s4o3o ) ♦ 3 3 | 3 0 3 3 0 | 0 0 1 3 0 0 0 1 | * * * * * 96 * * * | 0 0 1 1 0 s3s4o . ♦ 0 12 | 0 0 0 6 24 | 0 0 0 0 0 8 12 0 | * * * * * * 24 * * | 0 1 0 0 1 . s4o3o ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 0 0 4 | * * * * * * * 24 * | 0 0 1 0 1 sefa( s3s4o3o ) ♦ 0 4 | 0 0 0 3 3 | 0 0 0 0 0 0 3 1 | * * * * * * * * 96 | 0 0 0 1 1 ----------------------------------+-------+--------------------+-----------------------------+-----------------------------+------------- s3s4o3o ♦ 96 0 | 144 288 0 0 0 | 96 288 96 0 0 0 0 0 | 24 24 96 0 0 0 0 0 0 | 1 * * * * s3s4o . || s3s4o . ♦ 12 12 | 6 24 12 6 24 | 8 12 0 6 24 8 12 0 | 1 0 0 8 12 0 1 0 0 | * 24 * * * . s4o3o || . s4o3o ♦ 4 4 | 6 0 4 6 0 | 0 0 4 6 0 0 0 4 | 0 1 0 0 0 4 0 1 0 | * * 24 * * sefa( s3s4o3o ) || sefa( s3s4o3o ) ♦ 4 4 | 3 3 4 3 3 | 0 3 1 3 3 0 3 1 | 0 0 1 0 3 1 0 0 1 | * * * 96 * s3s4o3o ♦ 0 96 | 0 0 0 144 288 | 0 0 0 0 0 96 288 96 | 0 0 0 0 0 0 24 24 96 | * * * * 1
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