Acronym | n,ti-dip |
Name | n-gon - truncated-icosahedron duoprism |
Circumradius | sqrt[(29+9 sqrt(5))/8+1/(4 sin2(π/n))] |
Face vector | 60n, 150n, 122n+60, 33n+90, n+32 |
Especially | trati (n=3) squati (n=4) hati (n=6) oti (n=8) |
Confer |
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Incidence matrix according to Dynkin symbol
xno x3x5o (n>2) . . . . . | 60n | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+-----+-------------+--------------------+-----------------+-------- x . . . . | 2 | 60n * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 30n * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 60n | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+-----+-------------+--------------------+-----------------+-------- xno . . . | n | n 0 0 | 60 * * * * | 1 2 0 0 0 | 2 1 0 x . x . . | 4 | 2 2 0 | * 30n * * * | 1 0 2 0 0 | 2 0 1 x . . x . | 4 | 2 0 2 | * * 60n * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 20n * | 0 0 2 0 1 | 1 0 2 . . . x5o | 5 | 0 0 5 | * * * * 12n | 0 0 0 2 1 | 0 1 2 ----------+-----+-------------+--------------------+-----------------+-------- xno x . . ♦ 2n | 2n n 0 | 2 n 0 0 0 | 30 * * * * | 2 0 0 xno . x . ♦ 2n | 2n 0 n | 2 0 n 0 0 | * 60 * * * | 1 1 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 20n * * | 1 0 1 x . . x5o ♦ 10 | 5 0 10 | 0 0 5 0 2 | * * * 12n * | 0 1 1 . . x3x5o ♦ 60 | 0 30 60 | 0 0 0 20 12 | * * * * n | 0 0 2 ----------+-----+-------------+--------------------+-----------------+-------- xno x3x . ♦ 6n | 6n 3n 3n | 6 3n 3n n 0 | 3 3 n 0 0 | 20 * * xno . x5o ♦ 5n | 5n 0 5n | 5 0 5n 0 n | 0 5 0 n 0 | * 12 * x . x3x5o ♦ 120 | 60 60 120 | 0 30 60 40 24 | 0 0 20 12 2 | * * n
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