Acronym | n,id-dip |
Name | n-gon - icosidodecahedron duoprism |
Circumradius | sqrt[(3+sqrt(5))/2+1/(4 sin2(π/n))] |
Face vector | 30n, 90n, 92n+30, 33n+60, n+32 |
Especially | trid (n=3) squid (n=4) pid (n=5) hid (n=6) oid (n=8) daid (n=10) |
Confer |
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Incidence matrix according to Dynkin symbol
xno o3x5o (n>2) . . . . . | 30n | 2 4 | 1 8 2 2 | 4 4 4 1 | 2 2 2 ----------+-----+---------+----------------+--------------+-------- x . . . . | 2 | 30n * | 1 4 0 0 | 4 2 2 0 | 2 2 1 . . . x . | 2 | * 60n | 0 2 1 1 | 1 2 2 1 | 1 1 2 ----------+-----+---------+----------------+--------------+-------- xno . . . | n | n 0 | 30 * * * | 4 0 0 0 | 2 2 0 x . . x . | 4 | 2 2 | * 60n * * | 1 1 1 0 | 1 1 1 . . o3x . | 3 | 0 3 | * * 20n * | 0 2 0 1 | 1 0 2 . . . x5o | 5 | 0 5 | * * * 12n | 0 0 2 1 | 0 1 2 ----------+-----+---------+----------------+--------------+-------- xno . x . ♦ 2n | 2n n | 2 n 0 0 | 60 * * * | 1 1 0 x . o3x . ♦ 6 | 3 6 | 0 3 2 0 | * 20n * * | 1 0 1 x . . x5o ♦ 10 | 5 10 | 0 5 0 2 | * * 12n * | 0 1 1 . . o3x5o ♦ 30 | 0 60 | 0 0 20 12 | * * * n | 0 0 2 ----------+-----+---------+----------------+--------------+-------- xno o3x . ♦ 3n | 3n 3n | 3 3n n 0 | 3 n 0 0 | 20 * * xno . x5o ♦ 5n | 5n 5n | 5 5n 0 n | 5 0 n 0 | * 12 * x . o3x5o ♦ 60 | 30 120 | 0 60 40 24 | 0 20 12 2 | * * n
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