Acronym gorcrin Name great retrocelligreat rhombated penteract Field of sections ` ©` Circumradius sqrt[41-16 sqrt(2)]/2 = 2.143163 Vertex figure ` ©` Colonel of regiment cogrin Externallinks

As abstract polytope gorcgrin is isomorphic to srocgrin, thereby replacing octagrams by octagons, resp. stop by op and quitco by girco, resp. tistodip by todip, gaquidpoth by gidpith, and gaqrit by grit.

Incidence matrix according to Dynkin symbol

```x4/3x3x3x3/2o3*c

.   . . .   .    | 1920 |   1   1    2    2 |   1   2   2   2   2   2   1   1 |  2   2   2   1   1   2   1   1   1 |  2  1  1  1  1
-----------------+------+-------------------+---------------------------------+------------------------------------+---------------
x   . . .   .    |    2 | 960   *    *    * |   1   2   2   0   0   0   0   0 |  2   2   2   1   1   0   0   0   0 |  2  1  1  1  0
.   x . .   .    |    2 |   * 960    *    * |   1   0   0   2   2   0   0   0 |  2   2   0   0   0   2   1   1   0 |  2  1  1  0  1
.   . x .   .    |    2 |   *   * 1920    * |   0   1   0   1   0   1   1   0 |  1   0   1   1   0   1   1   0   1 |  1  1  0  1  1
.   . . x   .    |    2 |   *   *    * 1920 |   0   0   1   0   1   1   0   1 |  0   1   1   0   1   1   0   1   1 |  1  0  1  1  1
-----------------+------+-------------------+---------------------------------+------------------------------------+---------------
x4/3x . .   .    |    8 |   4   4    0    0 | 240   *   *   *   *   *   *   * |  2   2   0   0   0   0   0   0   0 |  2  1  1  0  0
x   . x .   .    |    4 |   2   0    2    0 |   * 960   *   *   *   *   *   * |  1   0   1   1   0   0   0   0   0 |  1  1  0  1  0
x   . . x   .    |    4 |   2   0    0    2 |   *   * 960   *   *   *   *   * |  0   1   1   0   1   0   0   0   0 |  1  0  1  1  0
.   x3x .   .    |    6 |   0   3    3    0 |   *   *   * 640   *   *   *   * |  1   0   0   0   0   1   1   0   0 |  1  1  0  0  1
.   x . x   .    |    4 |   0   2    0    2 |   *   *   *   * 960   *   *   * |  0   1   0   0   0   1   0   1   0 |  1  0  1  0  1
.   . x3x   .    |    6 |   0   0    3    3 |   *   *   *   *   * 640   *   * |  0   0   1   0   0   1   0   0   1 |  1  0  0  1  1
.   . x .   o3*c |    3 |   0   0    3    0 |   *   *   *   *   *   * 640   * |  0   0   0   1   0   0   1   0   1 |  0  1  0  1  1
.   . . x3/2o    |    3 |   0   0    0    3 |   *   *   *   *   *   *   * 640 |  0   0   0   0   1   0   0   1   1 |  0  0  1  1  1
-----------------+------+-------------------+---------------------------------+------------------------------------+---------------
x4/3x3x .   .    ♦   48 |  24  24   24    0 |   6  12   0   8   0   0   0   0 | 80   *   *   *   *   *   *   *   * |  1  1  0  0  0
x4/3x . x   .    ♦   16 |   8   8    0    8 |   2   0   4   0   4   0   0   0 |  * 240   *   *   *   *   *   *   * |  1  0  1  0  0
x   . x3x   .    ♦   12 |   6   0    6    6 |   0   3   3   0   0   2   0   0 |  *   * 320   *   *   *   *   *   * |  1  0  0  1  0
x   . x .   o3*c ♦    6 |   3   0    6    0 |   0   3   0   0   0   0   2   0 |  *   *   * 320   *   *   *   *   * |  0  1  0  1  0
x   . . x3/2o    ♦    6 |   3   0    0    6 |   0   0   3   0   0   0   0   2 |  *   *   *   * 320   *   *   *   * |  0  0  1  1  0
.   x3x3x        ♦   24 |   0  12   12   12 |   0   0   0   4   6   4   0   0 |  *   *   *   *   * 160   *   *   * |  1  0  0  0  1
.   x3x .   o3*c ♦   12 |   0   6   12    0 |   0   0   0   4   0   0   4   0 |  *   *   *   *   *   * 160   *   * |  0  1  0  0  1
.   x . x3/2o    ♦    6 |   0   3    0    6 |   0   0   0   0   3   0   0   2 |  *   *   *   *   *   *   * 320   * |  0  0  1  0  1
.   . x3x3/2o3*c ♦   12 |   0   0   12   12 |   0   0   0   0   0   4   4   4 |  *   *   *   *   *   *   *   * 160 |  0  0  0  1  1
-----------------+------+-------------------+---------------------------------+------------------------------------+---------------
x4/3x3x3x   .    ♦  384 | 192 192  192  192 |  48  96  96  64  96  64   0   0 |  8  24  32   0   0  16   0   0   0 | 10  *  *  *  *
x4/3x3x .   o3*c ♦  192 |  96  96  192    0 |  24  96   0  64   0   0  64   0 |  8   0   0  32   0   0  16   0   0 |  * 10  *  *  *
x4/3x . x3/2o    ♦   24 |  12  12    0   24 |   3   0  12   0  12   0   0   8 |  0   3   0   0   4   0   0   4   0 |  *  * 80  *  *
x   . x3x3/2o3*c ♦   24 |  12   0   24   24 |   0  12  12   0   0   8   8   8 |  0   0   4   4   4   0   0   0   2 |  *  *  * 80  *
.   x3x3x3/2o3*c ♦   60 |   0  30   60   60 |   0   0   0  20  30  20  20  20 |  0   0   0   0   0   5   5  10   5 |  *  *  *  * 32
```