Acronym | n,ike-dippip |
Name | n-gon - icosahedron duoprismatic prism |
Face vector | 24n, 96n, 142n+24, 92n+72, 23n+70, n+22 |
Especially | trikep (n=3) cubike (n=4) |
Confer |
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Incidence matrix according to Dynkin symbol
x xno x3o5o (n>2) . . . . . . | 24n | 1 2 5 | 2 5 1 10 5 | 1 10 5 5 10 1 | 5 10 1 5 2 | 5 2 1 ------------+-----+-------------+--------------------+----------------------+----------------+------- x . . . . . | 2 | 12n * * | 2 5 0 0 0 | 1 10 5 0 0 0 | 5 10 1 0 0 | 5 2 0 . x . . . . | 2 | * 24n * | 1 0 1 5 0 | 1 5 0 5 5 0 | 5 5 0 5 1 | 5 1 1 . . . x . . | 2 | * * 60n | 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1 ------------+-----+-------------+--------------------+----------------------+----------------+------- x x . . . . | 4 | 2 2 0 | 12n * * * * | 1 5 0 0 0 0 | 5 5 0 0 0 | 5 1 0 x . . x . . | 4 | 2 0 2 | * 30n * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . xno . . . | n | 0 n 0 | * * 24 * * | 1 0 0 5 0 0 | 5 0 0 5 0 | 5 0 1 . x . x . . | 4 | 0 2 2 | * * * 60n * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o . | 3 | 0 0 3 | * * * * 40n | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1 ------------+-----+-------------+--------------------+----------------------+----------------+------- x xno . . . ♦ 2n | n 2n 0 | n 0 2 0 0 | 12 * * * * * | 5 0 0 0 0 | 5 0 0 x x . x . . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 30n * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 20n * * * | 0 2 1 0 0 | 1 2 0 . xno x . . ♦ 2n | 0 2n n | 0 0 2 n 0 | * * * 60 * * | 1 0 0 2 0 | 2 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * 40n * | 0 1 0 1 1 | 1 1 1 . . . x3o5o ♦ 12 | 0 0 30 | 0 0 0 0 20 | * * * * * 2n | 0 0 1 0 2 | 0 2 1 ------------+-----+-------------+--------------------+----------------------+----------------+------- x xno x . . ♦ 4n | 2n 4n 2n | 2n n 4 2n 0 | 2 n 0 2 0 0 | 30 * * * * | 2 0 0 x x . x3o . ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 2 0 | * 20n * * * | 1 1 0 x . . x3o5o ♦ 24 | 12 0 60 | 0 30 0 0 40 | 0 0 20 0 0 2 | * * n * * | 0 2 0 . xno x3o . ♦ 3n | 0 3n 3n | 0 0 3 3n n | 0 0 0 3 n 0 | * * * 40 * | 1 0 1 . x . x3o5o ♦ 24 | 0 12 60 | 0 0 0 30 40 | 0 0 0 0 20 2 | * * * * 2n | 0 1 1 ------------+-----+-------------+--------------------+----------------------+----------------+------- x xno x3o . ♦ 6n | 3n 6n 6n | 3n 3n 6 6n 2n | 3 3n n 6 2n 0 | 3 n 0 2 0 | 20 * * x x . x3o5o ♦ 48 | 24 24 120 | 12 60 0 60 80 | 0 30 40 0 40 4 | 0 20 2 0 2 | * n * . xno x3o5o ♦ 12n | 0 12n 30n | 0 0 12 30n 20n | 0 0 0 30 20n n | 0 0 0 20 n | * * 2
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