Acronym | n,tid-dip |
Name | n-gon - truncated-dodecahedron duoprism |
Circumradius | sqrt[(37+15 sqrt(5))/8+1/(4 sin2(π/n))] |
Face vector | 60n, 150n, 122n+60, 33n+90, n+32 |
Especially | tratid (n=3) squatid (n=4) hatid (n=6) otid (n=8) |
Confer |
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Incidence matrix according to Dynkin symbol
xno o3x5x (n>2) . . . . . | 60n | 2 2 1 | 1 4 2 1 2 | 2 1 2 4 1 | 1 2 2 ----------+-----+-------------+--------------------+-----------------+-------- x . . . . | 2 | 60n * * | 1 2 1 0 0 | 2 1 1 2 0 | 1 2 1 . . . x . | 2 | * 60n * | 0 2 0 1 1 | 1 0 2 2 1 | 1 1 2 . . . . x | 2 | * * 30n | 0 0 2 0 2 | 0 1 0 4 1 | 0 2 2 ----------+-----+-------------+--------------------+-----------------+-------- xno . . . | n | n 0 0 | 60 * * * * | 2 1 0 0 0 | 1 2 0 x . . x . | 4 | 2 2 0 | * 60n * * * | 1 0 1 1 0 | 1 1 1 x . . . x | 4 | 2 0 2 | * * 30n * * | 0 1 0 2 0 | 0 2 1 . . o3x . | 3 | 0 3 0 | * * * 20n * | 0 0 2 0 1 | 1 0 2 . . . x5x | 10 | 0 5 5 | * * * * 12n | 0 0 0 2 1 | 0 1 2 ----------+-----+-------------+--------------------+-----------------+-------- xno . x . ♦ 2n | 2n n 0 | 2 n 0 0 0 | 60 * * * * | 1 1 0 xno . . x ♦ 2n | 2n 0 n | 2 0 n 0 0 | * 30 * * * | 0 2 0 x . o3x . ♦ 6 | 3 6 0 | 0 3 0 2 0 | * * 20n * * | 1 0 1 x . . x5x ♦ 20 | 10 10 10 | 0 5 5 0 2 | * * * 12n * | 0 1 1 . . o3x5x ♦ 60 | 0 60 30 | 0 0 0 20 12 | * * * * n | 0 0 2 ----------+-----+-------------+--------------------+-----------------+-------- xno o3x . ♦ 3n | 3n 3n 0 | 3 3n 0 n 0 | 3 0 n 0 0 | 20 * * xno . x5x ♦ 10n | 10n 5n 5n | 10 5n 5n 0 n | 5 5 0 n 0 | * 12 * x . o3x5x ♦ 120 | 60 120 60 | 0 60 30 40 24 | 0 0 20 12 2 | * * n
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