Acronym | n,srid-dip |
Name | n-gon - small-rhombicosidodecahedron duoprism |
Circumradius | sqrt[sqrt(5)+11/4+1/(4 sin2(π/n))] |
Face vector | 60n, 180n, 182n+60, 63n+120, n+62 |
Especially | trasrid (n=3) squasrid (n=4) hasrid (n=6) osrid (n=8) |
Confer |
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Incidence matrix according to Dynkin symbol
xno x3o5x (n>2) . . . . . | 60n | 2 2 2 | 1 4 4 1 2 1 | 2 2 2 4 2 1 | 1 2 1 2 ----------+-----+-------------+------------------------+---------------------+----------- x . . . . | 2 | 60n * * | 1 2 2 0 0 0 | 2 2 1 2 1 0 | 1 2 1 1 . . x . . | 2 | * 60n * | 0 2 0 1 1 0 | 1 0 2 2 0 1 | 1 1 0 2 . . . . x | 2 | * * 60n | 0 0 2 0 1 1 | 0 1 0 2 2 1 | 0 1 1 2 ----------+-----+-------------+------------------------+---------------------+----------- xno . . . | n | n 0 0 | 60 * * * * * | 2 2 0 0 0 0 | 1 2 1 0 x . x . . | 4 | 2 2 0 | * 60n * * * * | 1 0 1 1 0 0 | 1 1 0 1 x . . . x | 4 | 2 0 2 | * * 60n * * * | 0 1 0 1 1 0 | 0 1 1 1 . . x3o . | 3 | 0 3 0 | * * * 20n * * | 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 2 | * * * * 30n * | 0 0 0 2 0 1 | 0 1 0 2 . . . o5x | 5 | 0 0 5 | * * * * * 12n | 0 0 0 0 2 1 | 0 0 1 2 ----------+-----+-------------+------------------------+---------------------+----------- xno x . . ♦ 2n | 2n n 0 | 2 n 0 0 0 0 | 60 * * * * * | 1 1 0 0 xno . . x ♦ 2n | 2n 0 n | 2 0 n 0 0 0 | * 60 * * * * | 0 1 1 0 x . x3o . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 20n * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 30n * * | 0 1 0 1 x . . o5x ♦ 10 | 5 0 10 | 0 0 5 0 0 2 | * * * * 12n * | 0 0 1 1 . . x3o5x ♦ 60 | 0 60 60 | 0 0 0 20 30 12 | * * * * * n | 0 0 0 2 ----------+-----+-------------+------------------------+---------------------+----------- xno x3o . ♦ 3n | 3n 3n 0 | 3 3n 0 n 0 0 | 3 0 n 0 0 0 | 20 * * * xno x . x ♦ 4n | 4n 2n 2n | 4 2n 2n 0 n 0 | 2 2 0 n 0 0 | * 30 * * xno . o5x ♦ 5n | 5n 0 5n | 5 0 5n 0 0 n | 0 5 0 0 n 0 | * * 12 * x . x3o5x ♦ 120 | 60 120 120 | 0 60 60 40 60 24 | 0 0 20 30 12 2 | * * * n
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