Acronym girn Name great rhombated penteract,cantitruncated penteract Field of sections ` ©` Circumradius sqrt[31+14 sqrt(2)]/2 = 3.563671 Vertex figure ` ©   ©` Coordinates ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign Externallinks

As abstract polyteron girn is isomorph to gaqrin, thereby replacing octagons by octagrams, resp. girco by quitco, resp. grit by gaqrit.

Incidence matrix according to Dynkin symbol

```o3o3x3x4x

. . . . . | 640 |   3   1   1 |   3   3   3  1 |   1   3   3  3 |  1  1  3
----------+-----+-------------+----------------+----------------+---------
. . x . . |   2 | 960   *   * |   2   1   1  0 |   1   2   2  1 |  1  1  2
. . . x . |   2 |   * 320   * |   0   3   0  1 |   0   3   0  3 |  1  0  3
. . . . x |   2 |   *   * 320 |   0   0   3  1 |   0   0   3  3 |  0  1  3
----------+-----+-------------+----------------+----------------+---------
. o3x . . |   3 |   3   0   0 | 640   *   *  * |   1   1   1  0 |  1  1  1
. . x3x . |   6 |   3   3   0 |   * 320   *  * |   0   2   0  1 |  1  0  2
. . x . x |   4 |   2   0   2 |   *   * 480  * |   0   0   2  1 |  0  1  2
. . . x4x |   8 |   0   4   4 |   *   *   * 80 |   0   0   0  3 |  0  0  3
----------+-----+-------------+----------------+----------------+---------
o3o3x . . ♦   4 |   6   0   0 |   4   0   0  0 | 160   *   *  * |  1  1  0
. o3x3x . ♦  12 |  12   6   0 |   4   4   0  0 |   * 160   *  * |  1  0  1
. o3x . x ♦   6 |   6   0   3 |   2   0   3  0 |   *   * 320  * |  0  1  1
. . x3x4x ♦  48 |  24  24  24 |   0   8  12  6 |   *   *   * 40 |  0  0  2
----------+-----+-------------+----------------+----------------+---------
o3o3x3x . ♦  20 |  30  10   0 |  20  10   0  0 |   5   5   0  0 | 32  *  *
o3o3x . x ♦   8 |   6   0   4 |   8   0   6  0 |   2   0   4  0 |  * 80  *
. o3x3x4x ♦ 192 | 192  96  96 |  64  64  96 24 |   0  16  32  8 |  *  * 10

snubbed forms: o3o3x3x4s
```