Acronym | n,ike-dip |
Name | n-gon - icosahedron duoprism |
Circumradius | sqrt[(5+sqrt(5))/8+1/(4 sin2(π/n))] |
Face vector | 12n, 42n, 50n+12, 21n+30, n+20 |
Especially | trike (n=3) squike (n=4) pike (n=5) hike (n=6) oike (n=8) |
Confer |
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Incidence matrix according to Dynkin symbol
xno x3o5o (n>2) . . . . . | 12n | 2 5 | 1 10 5 | 5 10 1 | 5 2 ----------+-----+---------+------------+----------+----- x . . . . | 2 | 12n * | 1 5 0 | 5 5 0 | 5 1 . . x . . | 2 | * 30n | 0 2 2 | 1 4 1 | 2 2 ----------+-----+---------+------------+----------+----- xno . . . | n | n 0 | 12 * * | 5 0 0 | 5 0 x . x . . | 4 | 2 2 | * 30n * | 1 2 0 | 2 1 . . x3o . | 3 | 0 3 | * * 20n | 0 2 1 | 1 2 ----------+-----+---------+------------+----------+----- xno x . . ♦ 2n | 2n n | 2 n 0 | 30 * * | 2 0 x . x3o . ♦ 6 | 3 6 | 0 3 2 | * 20n * | 1 1 . . x3o5o ♦ 12 | 0 30 | 0 0 20 | * * n | 0 2 ----------+-----+---------+------------+----------+----- xno x3o . ♦ 3n | 3n 3n | 3 3n n | 3 n 0 | 20 * x . x3o5o ♦ 24 | 12 60 | 0 30 40 | 0 20 2 | * n
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