Acronym | n,tet-dippip |
Name | n-gon - tetrahedron duoprismatic prism |
Face vector | 8n, 24n, 30n+8, 20n+16, 7n+14, n+6 |
Especially | tratepe (n=3) tetcube (n=4) |
Confer |
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Incidence matrix according to Dynkin symbol
x xno x3o3o (n>2) . . . . . . | 8n | 1 2 3 | 2 3 1 6 3 | 1 6 3 3 6 1 | 3 6 1 3 2 | 3 2 1 ------------+----+-----------+----------------+------------------+-------------+------ x . . . . . | 2 | 4n * * | 2 3 0 0 0 | 1 6 3 0 0 0 | 3 6 1 0 0 | 3 2 0 . x . . . . | 2 | * 8n * | 1 0 1 3 0 | 1 3 0 3 3 0 | 3 3 0 3 1 | 3 1 1 . . . x . . | 2 | * * 12n | 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 | 4n * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . . x . . | 4 | 2 0 2 | * 6n * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0 . xno . . . | n | 0 n 0 | * * 8 * * | 1 0 0 3 0 0 | 3 0 0 3 0 | 3 0 1 . x . x . . | 4 | 0 2 2 | * * * 12n * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1 . . . x3o . | 3 | 0 0 3 | * * * * 8n | 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 | 4 * * * * * | 3 0 0 0 0 | 3 0 0 x x . x . . ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 6n * * * * | 1 2 0 0 0 | 2 1 0 x . . x3o . ♦ 6 | 3 0 6 | 0 3 0 0 2 | * * 4n * * * | 0 2 1 0 0 | 1 2 0 . xno x . . ♦ 2n | 0 2n n | 0 0 2 n 0 | * * * 12 * * | 1 0 0 2 0 | 2 0 1 . x . x3o . ♦ 6 | 0 3 6 | 0 0 0 3 2 | * * * * 8n * | 0 1 0 1 1 | 1 1 1 . . . x3o3o ♦ 4 | 0 0 6 | 0 0 0 0 4 | * * * * * 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 | 6 * * * * | 2 0 0 x x . x3o . ♦ 12 | 6 6 12 | 3 6 0 6 4 | 0 3 2 0 2 0 | * 4n * * * | 1 1 0 x . . x3o3o ♦ 8 | 4 0 12 | 0 6 0 0 8 | 0 0 4 0 0 2 | * * n * * | 0 2 0 . xno x3o . ♦ 3n | 0 3n 3n | 0 0 3 3n n | 0 0 0 3 n 0 | * * * 8 * | 1 0 1 . x . x3o3o ♦ 8 | 0 4 12 | 0 0 0 6 8 | 0 0 0 0 4 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 | 4 * * x x . x3o3o ♦ 16 | 8 8 24 | 4 12 0 12 16 | 0 6 8 0 8 4 | 0 4 2 0 2 | * n * . xno x3o3o ♦ 4n | 0 4n 6n | 0 0 4 6n 4n | 0 0 0 6 4n n | 0 0 0 4 n | * * 2
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