Acronym quequapech
Name quasiquasiprismated cubic honeycomb

As abstract polytope quequapech is isomorphic to otch, thereby replacing all octagrams by octagons, resp. all stops by ops and all quitcoes by gircoes. – The 2-coloring thereof furthermore is isomorphic to gaquapech, when replacing just one half each.


Incidence matrix according to Dynkin symbol

x4/3x3x4/3x   (N → ∞)

.   . .   . | 48N |   1   1   1   1 |  1   1   1  1   1  1 | 1  1  1 1
------------+-----+-----------------+----------------------+----------
x   . .   . |   2 | 24N   *   *   * |  1   1   1  0   0  0 | 1  1  1 0
.   x .   . |   2 |   * 24N   *   * |  1   0   0  1   1  0 | 1  1  0 1
.   . x   . |   2 |   *   * 24N   * |  0   1   0  1   0  1 | 1  0  1 1
.   . .   x |   2 |   *   *   * 24N |  0   0   1  0   1  1 | 0  1  1 1
------------+-----+-----------------+----------------------+----------
x4/3x .   . |   8 |   4   4   0   0 | 6N   *   *  *   *  * | 1  1  0 0
x   . x   . |   4 |   2   0   2   0 |  * 12N   *  *   *  * | 1  0  1 0
x   . .   x |   4 |   2   0   0   2 |  *   * 12N  *   *  * | 0  1  1 0
.   x3x   . |   6 |   0   3   3   0 |  *   *   * 8N   *  * | 1  0  0 1
.   x .   x |   4 |   0   2   0   2 |  *   *   *  * 12N  * | 0  1  0 1
.   . x4/3x |   8 |   0   0   4   4 |  *   *   *  *   * 6N | 0  0  1 1
------------+-----+-----------------+----------------------+----------
x4/3x3x   .   48 |  24  24  24   0 |  6  12   0  8   0  0 | N  *  * *
x4/3x .   x   16 |   8   8   0   8 |  2   0   4  0   4  0 | * 3N  * *
x   . x4/3x   16 |   8   0   8   8 |  0   4   4  0   0  2 | *  * 3N *
.   x3x4/3x   48 |   0  24  24  24 |  0   0   0  8  12  6 | *  *  * N
or
.   . .   .    | 24N |   2   2 |  2   2  1  1 | 2  2
---------------+-----+---------+--------------+-----
x   . .   .  & |   2 | 24N   * |  1   1  1  0 | 1  2
.   x .   .  & |   2 |   * 24N |  1   1  0  1 | 2  1
---------------+-----+---------+--------------+-----
x4/3x .   .  & |   8 |   4   4 | 6N   *  *  * | 1  1
x   . x   .  & |   4 |   2   2 |  * 12N  *  * | 1  1
x   . .   x    |   4 |   4   0 |  *   * 6N  * | 0  2
.   x3x   .    |   6 |   0   6 |  *   *  * 4N | 2  0
---------------+-----+---------+--------------+-----
x4/3x3x   .  &   48 |  24  48 |  6  12  0  8 | N  *
x4/3x .   x  &   16 |  16   8 |  2   4  4  0 | * 3N

© 2004-2024
top of page