Acronym | n,tut-dip |
Name | n-gon - truncated-tetrahedron duoprism |
Circumradius | sqrt[11/8+1/(4 sin2(π/n))] |
Face vector | 12n, 30n, 26n+12, 9n+18, n+8 |
Especially | tratut (n=3) squatut (n=4) hatut (n=6) otut (n=8) |
Confer |
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Incidence matrix according to Dynkin symbol
xno x3x3o (n>2) . . . . . | 12n | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+-----+------------+-----------------+--------------+------ x . . . . | 2 | 12n * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 6n * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 12n | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+-----+------------+-----------------+--------------+------ xno . . . | n | n 0 0 | 12 * * * * | 1 2 0 0 0 | 2 1 0 x . x . . | 4 | 2 2 0 | * 6n * * * | 1 0 2 0 0 | 2 0 1 x . . x . | 4 | 2 0 2 | * * 12n * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 4n * | 0 0 2 0 1 | 1 0 2 . . . x3o | 3 | 0 0 3 | * * * * 4n | 0 0 0 2 1 | 0 1 2 ----------+-----+------------+-----------------+--------------+------ xno x . . ♦ 2n | 2n n 0 | 2 n 0 0 0 | 6 * * * * | 2 0 0 xno . x . ♦ 2n | 2n 0 n | 2 0 n 0 0 | * 12 * * * | 1 1 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 4n * * | 1 0 1 x . . x3o ♦ 6 | 3 0 6 | 0 0 3 0 2 | * * * 4n * | 0 1 1 . . x3x3o ♦ 12 | 0 6 12 | 0 0 0 4 4 | * * * * n | 0 0 2 ----------+-----+------------+-----------------+--------------+------ xno x3x . ♦ 6n | 6n 3n 3n | 6 3n 3n n 0 | 3 3 n 0 0 | 4 * * xno . x3o ♦ 3n | 3n 0 3n | 3 0 3n 0 n | 0 3 0 n 0 | * 4 * x . x3x3o ♦ 24 | 12 12 24 | 0 6 12 8 8 | 0 0 4 4 2 | * * n
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