Acronym | sesidip |
Name | small-snub-icosicosidodecahedron prism |
Circumradius | sqrt[17+3 sqrt(5)+sqrt[102+46 sqrt(5)]]/4 = 1.541531 |
Colonel of regiment | (is itself locally convex – no other uniform polyhedral members) |
Face vector | 120, 420, 404, 114 |
External links |
As abstract polytope sesidip is isomorphic to sirsiddip, thereby replacing prograde icosahedral triangles by retrrograde ones, resp. replacing seside by sirsid.
Incidence matrix according to Dynkin symbol
x s5/2s3s3*b . demi( . . . ) | 120 | 1 2 2 2 | 2 2 2 1 1 1 3 | 1 1 1 3 1 ---------------------+-----+----------------+-----------------------+-------------- x demi( . . . ) | 2 | 60 * * * | 2 2 2 0 0 0 0 | 1 1 1 3 0 . sefa( s5/2s . ) | 2 | * 120 * * | 1 0 0 1 0 0 1 | 1 0 0 1 1 . sefa( s . s3*b ) | 2 | * * 120 * | 0 1 0 0 1 0 1 | 0 1 0 1 1 . sefa( . s3s ) | 2 | * * * 120 | 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------------+-----+----------------+-----------------------+-------------- x sefa( s5/2s . ) | 4 | 2 2 0 0 | 60 * * * * * * | 1 0 0 1 0 x sefa( s . s3*b ) | 4 | 2 0 2 0 | * 60 * * * * * | 0 1 0 1 0 x sefa( . s3s ) | 4 | 2 0 0 2 | * * 60 * * * * | 0 0 1 1 0 . s5/2s . ♦ 5 | 0 5 0 0 | * * * 24 * * * | 1 0 0 0 1 . s . s3*b ♦ 3 | 0 0 3 0 | * * * * 40 * * | 0 1 0 0 1 . . s3s ♦ 3 | 0 0 0 3 | * * * * * 40 * | 0 0 1 0 1 . sefa( s5/2s3s3*b ) | 3 | 0 1 1 1 | * * * * * * 120 | 0 0 0 1 1 ---------------------+-----+----------------+-----------------------+-------------- x s5/2s . ♦ 10 | 5 10 0 0 | 5 0 0 2 0 0 0 | 12 * * * * x s . s3*b ♦ 6 | 3 0 6 0 | 0 3 0 0 2 0 0 | * 20 * * * x . s3s ♦ 6 | 3 0 0 6 | 0 0 3 0 0 2 0 | * * 20 * * x sefa( s5/2s3s3*b ) ♦ 6 | 3 2 2 2 | 1 1 1 0 0 0 2 | * * * 60 * . s5/2s3s3*b ♦ 60 | 0 60 60 60 | 0 0 0 12 20 20 60 | * * * * 2
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