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
External
links
hedrondude   wikipedia  

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

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