Acronym n,hex-dip
Name n-gon - hexadecachoron duoprism
Especially trahex (n=3)   squahex (n=4)  

Incidence matrix according to Dynkin symbol

xno x3o3o4o   (n>2)

. . . . . . | 8n |  2   6 | 1  12  12 |  6  12   8 | 12  16 1 |  8 2
------------+----+--------+-----------+------------+----------+-----
x . . . . . |  2 | 8n   * | 1   6   0 |  6  12   0 | 12   8 0 |  8 1
. . x . . . |  2 |  * 24n | 0   2   4 |  1   8   4 |  4   8 1 |  4 2
------------+----+--------+-----------+------------+----------+-----
xno . . . . |  n |  n   0 | 8   *   *   6   0   0 | 12   0 0 |  8 0
x . x . . . |  4 |  2   2 | * 24n   * |  1   4   0 |  4   4 0 |  4 1
. . x3o . . |  3 |  0   3 | *   * 32n |  0   2   2 |  1   4 1 |  2 2
------------+----+--------+-----------+------------+----------+-----
xno x . . .  2n | 2n   n | 2   n   0 | 24   *   * |  4   0 0 |  4 0
x . x3o . .   6 |  3   6 | 0   3   2 |  * 32n   * |  1   2 0 |  2 1
. . x3o3o .   4 |  0   6 | 0   0   4 |  *   * 16n |  0   2 1 |  1 2
------------+----+--------+-----------+------------+----------+-----
xno x3o . .  3n | 3n  3n | 3  3n   n |  3   n   0 | 32   * * |  2 0
x . x3o3o .   8 |  4  12 | 0   6   8 |  0   4   2 |  * 16n * |  1 1
. . x3o3o4o   8 |  0  24 | 0   0  32 |  0   0  16 |  *   * n |  0 2
------------+----+--------+-----------+------------+----------+-----
xno x3o3o .  4n | 4n  6n | 4  6n  4n |  6  4n   n |  4   n 0 | 16 *
x . x3o3o4o  16 |  8  48 | 0  24  64 |  0  32  32 |  0  16 2 |  * n

xno x3o3o *d3o   (n>2)

. . . . .    . | 8n |  2   6 | 1  12  12 |  6  12  4  4 | 12  8  8 1 | 4 4 2
---------------+----+--------+-----------+--------------+------------+------
x . . . .    . |  2 | 8n   * | 1   6   0 |  6  12  0  0 | 12  4  4 0 | 4 4 1
. . x . .    . |  2 |  * 24n | 0   2   4 |  1   8  2  2 |  4  4  4 1 | 2 2 2
---------------+----+--------+-----------+--------------+------------+------
xno . . .    . |  n |  n   0 | 8   *   *   6   0  0  0 | 12  0  0 0 | 4 4 0
x . x . .    . |  4 |  2   2 | * 24n   * |  1   4  0  0 |  4  2  2 0 | 2 2 1
. . x3o .    . |  3 |  0   3 | *   * 32n |  0   2  1  1 |  1  2  2 1 | 1 1 2
---------------+----+--------+-----------+--------------+------------+------
xno x . .    .  2n | 2n   n | 2   n   0 | 24   *  *  * |  4  0  0 0 | 2 2 0
x . x3o .    .   6 |  3   6 | 0   3   2 |  * 32n  *  * |  1  1  1 0 | 1 1 1
. . x3o3o    .   4 |  0   6 | 0   0   4 |  *   * 8n  * |  0  2  0 1 | 1 0 2
. . x3o . *d3o   4 |  0   6 | 0   0   4 |  *   *  * 8n |  0  0  2 1 | 0 1 2
---------------+----+--------+-----------+--------------+------------+------
xno x3o .    .  3n | 3n  3n | 3  3n   n |  3   n  0  0 | 32  *  * * | 1 1 0
x . x3o3o    .   8 |  4  12 | 0   6   8 |  0   4  2  0 |  * 8n  * * | 1 0 1
x . x3o . *d3o   8 |  4  12 | 0   6   8 |  0   4  0  2 |  *  * 8n * | 0 1 1
. . x3o3o *d3o   8 |  0  24 | 0   0  32 |  0   0  8  8 |  *  *  * n | 0 0 2
---------------+----+--------+-----------+--------------+------------+------
xno x3o3o    .  4n | 4n  6n | 4  6n  4n |  6  4n  n  0 |  4  n  0 0 | 8 * *
xno x3o . *d3o  4n | 4n  6n | 4  6n  4n |  6  4n  0  n |  4  0  n 0 | * 8 *
x . x3o3o *d3o  16 |  8  48 | 0  24  64 |  0  32 16 16 |  0  8  8 2 | * * n

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