snub-icosidodecahedron prism
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| Acronym | sniddip, K-4.110 |
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snub-dodecahedron prism, snub-icosidodecahedron prism |
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As abstract polytope sniddip is isomorphic to gosiddip, thereby replacing pentagons by (prograde) pentagrams, resp. replacing pip by stip and snid by gosid. – Further it is isomorphic to gisiddip, thereby replacing pentagons by retrograde pentagrams, resp. replacing pip by stip and snid by gisid. – Finally it is isomorphic to girsiddip, thereby replacing prograde icosahedral triangles and pentagons respectively by retrrograde icosahedral triangles and retrograde pentagrams resp. replacing pip by stip and snid by girsid.
Incidence matrix according to Dynkin symbol
x s3s5s . demi( . . . ) | 120 | 1 1 2 2 | 2 1 1 1 2 3 | 1 1 1 3 ----------------+-----+---------------+--------------------+----------- . ( s 2 s ) | 2 | 60 * * * | 0 0 0 1 0 2 | 0 0 1 2 x demi( . . . ) | 2 | * 60 * * | 2 0 0 1 2 0 | 1 1 0 3 . sefa( s3s . ) | 2 | * * 120 * | 1 1 0 0 0 1 | 1 0 1 1 . sefa( . s5s ) | 2 | * * * 120 | 0 0 1 0 1 1 | 0 1 1 1 ----------------+-----+---------------+--------------------+----------- x ( s 2 s ) | 4 | 0 2 2 0 | 60 * * * * * | 1 0 0 1 . s3s . ♦ 3 | 0 0 3 0 | * 40 * * * * | 1 0 1 0 . . s5s ♦ 5 | 0 0 0 5 | * * 24 * * * | 0 1 1 0 x sefa( s3s . ) | 4 | 2 2 0 0 | * * * 30 * * | 0 0 0 2 x sefa( . s5s ) | 4 | 0 2 0 2 | * * * * 60 * | 0 1 0 1 . sefa( s3s5s ) | 3 | 1 0 1 1 | * * * * * 120 | 0 0 1 1 ----------------+-----+---------------+--------------------+----------- x s3s . ♦ 6 | 0 3 6 0 | 3 2 0 0 0 0 | 20 * * * x . s5s ♦ 10 | 0 5 0 10 | 0 0 2 0 5 0 | * 12 * * . s3s5s ♦ 60 | 30 0 60 60 | 0 20 12 0 0 60 | * * 2 * x sefa( s3s5s ) ♦ 6 | 2 3 2 2 | 1 0 0 1 1 2 | * * * 60
s3s5s || s3s5s (snid || snid) demi( . . . ) | 60 * | 1 2 2 1 0 0 0 | 1 1 3 1 2 2 0 0 0 | 1 1 1 3 0 demi( . . . ) | * 60 | 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 | 30 * * * * * * | 0 0 2 1 0 0 0 0 0 | 1 0 0 2 0 sefa( s3s . ) | 2 0 | * 60 * * * * * | 1 0 1 0 1 0 0 0 0 | 1 1 0 1 0 sefa( . s5s ) | 2 0 | * * 60 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0 demi( . . . ) || demi( . . . ) | 1 1 | * * * 60 * * * | 0 0 0 1 2 2 0 0 0 | 0 1 1 3 0 s 2 s | 0 2 | * * * * 30 * * | 0 0 0 1 0 0 0 0 2 | 0 0 0 2 1 sefa( s3s . ) | 0 2 | * * * * * 60 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1 sefa( . s5s ) | 0 2 | * * * * * * 60 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1 ------------------------------+-------+----------------------+----------------------------+------------- s3s . ♦ 3 0 | 0 3 0 0 0 0 0 | 20 * * * * * * * * | 1 1 0 0 0 . s5s ♦ 5 0 | 0 0 5 0 0 0 0 | * 12 * * * * * * * | 1 0 1 0 0 sefa( s3s5s ) | 3 0 | 1 1 1 0 0 0 0 | * * 60 * * * * * * | 1 0 0 1 0 s 2 s || s 2 s | 2 2 | 1 0 0 2 1 0 0 | * * * 30 * * * * * | 0 0 0 2 0 sefa( s3s . ) || sefa( s3s . ) | 2 2 | 0 1 0 2 0 1 0 | * * * * 60 * * * * | 0 1 0 1 0 sefa( . s5s ) || sefa( . s5s ) | 2 2 | 0 0 1 2 0 0 1 | * * * * * 60 * * * | 0 0 1 1 0 s3s . ♦ 0 3 | 0 0 0 0 0 3 0 | * * * * * * 20 * * | 0 1 0 0 1 . s5s ♦ 0 5 | 0 0 0 0 0 0 5 | * * * * * * * 12 * | 0 0 1 0 1 sefa( s3s5s ) | 0 3 | 0 0 0 0 1 1 1 | * * * * * * * * 60 | 0 0 0 1 1 ------------------------------+-------+----------------------+----------------------------+------------- s3s5s ♦ 60 0 | 30 60 60 0 0 0 0 | 20 12 60 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 | * 20 * * * . s5s || . s5s ♦ 5 5 | 0 0 5 5 0 0 5 | 0 1 0 0 0 5 0 1 0 | * * 12 * * sefa( s3s5s ) || sefa( s3s5s ) ♦ 3 3 | 1 1 1 3 1 1 1 | 0 0 1 1 1 1 0 0 1 | * * * 60 * s3s5s ♦ 0 60 | 0 0 0 0 30 60 60 | 0 0 0 0 0 0 20 12 60 | * * * * 1
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