Acronym gaquapech
Name great quasiprismated cubic honeycomb

As abstract polytope gaquapech is isomorphic to a 2-coloring of otch, thereby replacing octagrams by (further) octagons, resp. stops by (further) ops and quitcoes by (further) gircoes. – Conversely it is isomorphic to a 2-coloring of quequapech, when replacing octagons by (further) octagrams, resp. ops by (further) stops and gircoes by (further) quitcoes.


Incidence matrix according to Dynkin symbol

x4x3x4/3x   (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
----------+-----+-----------------+----------------------+----------
x4x .   . |   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
----------+-----+-----------------+----------------------+----------
x4x3x   .   48 |  24  24  24   0 |  6  12   0  8   0  0 | N  *  * *
x4x .   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

© 2004-2019
top of page