Acronym gaqrin
Name great quasirhombated penteract
Field of sections
 ©
Circumradius sqrt[31-14 sqrt(2)]/2 = 1.673396
Vertex figure
 ©
Coordinates ((2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (2 sqrt(2)-1)/2, (sqrt(2)-1)/2, 1/2)   & all permutations, all changes of sign
External
links
hedrondude  

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


Incidence matrix according to Dynkin symbol

o3o3x3x4/3x

. . . .   . | 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
. . . x4/3x |   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
. . x3x4/3x   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  *
. o3x3x4/3x  192 | 192  96  96 |  64  64  96 24 |   0  16  32  8 |  *  * 10

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