Acronym | n,doe-dip |
Name | n-gon - dodecahedron duoprism |
Circumradius | sqrt[(9+3 sqrt(5))/8+1/(4 sin2(π/n))] |
Face vector | 20n, 50n, 42n+20, 13n+30, n+12 |
Especially | tradoe (n=3) squadoe (n=4) pedoe (n=5) hadoe (n=6) odoe (n=8) |
Confer |
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Incidence matrix according to Dynkin symbol
xno o3o5x (n>2) . . . . . | 20n | 2 3 | 1 6 3 | 3 6 1 | 3 2 ----------+-----+---------+------------+----------+----- x . . . . | 2 | 20n * | 1 3 0 | 3 3 0 | 3 1 . . . . x | 2 | * 30n | 0 2 2 | 1 4 1 | 2 2 ----------+-----+---------+------------+----------+----- xno . . . | n | n 0 | 20 * * | 3 0 0 | 3 0 x . . . x | 4 | 2 2 | * 30n * | 1 2 0 | 2 1 . . . o5x | 5 | 0 5 | * * 12n | 0 2 1 | 1 2 ----------+-----+---------+------------+----------+----- xno . . x ♦ 2n | 2n n | 2 n 0 | 30 * * | 2 0 x . . o5x ♦ 10 | 5 10 | 0 5 2 | * 12n * | 1 1 . . o3o5x ♦ 20 | 0 30 | 0 0 12 | * * n | 0 2 ----------+-----+---------+------------+----------+----- xno . o5x ♦ 5n | 5n 5n | 5 5n n | 5 n 0 | 12 * x . o3o5x ♦ 40 | 20 60 | 0 30 24 | 0 12 2 | * n
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