Acronym n,tet-dippip
Name n-gon - tetrahedron duoprismatic prism
Especially tratepe (n=3)   tetcube (n=4)  

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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