Acronym | n,hix-dip |
Name | n-gon - hexateron duoprism |
Circumradius | sqrt[5/12 + 1/(2 sin(π/n))2] |
Face vector | 6n, 21n, 35n+6, 35n+15, 21n+20, 7n+15, n+6 |
Especially | trahix (n=3) squahix (n=4) ohix (n=8) stohix (n=8/3) |
Confer |
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Incidence matrix according to Dynkin symbol
xno x3o3o3o3o . . . . . . . | 6n | 2 5 | 1 10 10 | 5 20 10 | 10 10 5 | 10 10 1 | 5 2 --------------+----+--------+-----------+------------+-----------+---------+---- x . . . . . . | 2 | 6n * | 1 5 0 | 5 10 0 | 10 5 0 | 10 5 0 | 5 1 . . x . . . . | 2 | * 15n | 0 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2 --------------+----+--------+-----------+------------+-----------+---------+---- xno . . . . . | n | n 0 | 6 * * ♦ 5 0 0 | 10 0 0 | 10 0 0 | 5 0 x . x . . . . | 4 | 2 2 | * 15n * | 1 4 0 | 4 6 0 | 6 4 0 | 4 1 . . x3o . . . | 3 | 0 3 | * * 20n | 0 2 3 | 1 6 3 | 3 6 1 | 3 2 --------------+----+--------+-----------+------------+-----------+---------+---- xno x . . . . ♦ 2n | 2n n | 2 n 0 | 15 * * ♦ 4 0 0 | 6 0 0 | 4 0 x . x3o . . . ♦ 6 | 3 6 | 0 3 2 | * 20n * | 1 3 0 | 3 3 0 | 3 1 . . x3o3o . . ♦ 4 | 0 6 | 0 0 4 | * * 15n | 0 2 2 | 1 4 1 | 2 2 --------------+----+--------+-----------+------------+-----------+---------+---- xno x3o . . . ♦ 3n | 3n 3n | 3 3n n | 3 n 0 | 20 * * | 3 0 0 | 3 0 x . x3o3o . . ♦ 8 | 4 12 | 0 6 8 | 0 4 2 | * 15n * | 1 2 0 | 2 1 . . x3o3o3o . ♦ 5 | 0 10 | 0 0 10 | 0 0 5 | * * 6n | 0 2 1 | 1 2 --------------+----+--------+-----------+------------+-----------+---------+---- xno x3o3o . . ♦ 4n | 4n 6n | 4 6n 4n | 6 4n n | 4 n 0 | 15 * * | 2 0 x . x3o3o3o . ♦ 10 | 5 20 | 0 10 20 | 0 10 10 | 0 5 2 | * 6n * | 1 1 . . x3o3o3o3o ♦ 6 | 0 15 | 0 0 20 | 0 0 15 | 0 0 6 | * * n | 0 2 --------------+----+--------+-----------+------------+-----------+---------+---- xno x3o3o3o . ♦ 5n | 5n 10n | 5 10n 10n | 10 10n 5n | 10 5n n | 5 n 0 | 6 * x . x3o3o3o3o ♦ 12 | 6 30 | 0 15 40 | 0 20 30 | 0 15 12 | 0 6 2 | * n
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