Acronym	cogrin (old: gocrin)
Name	celligreatorhombated penteract (great cellirhombated penteract), stericantitruncated penteract
Field of sections	©
Circumradius	sqrt[41+16 sqrt(2)]/2 = 3.988340
Vertex figure	©   ©
Coordinates	((1+3 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
General of army	(is itself convex)
Colonel of regiment	(is itself locally convex – uniform polyteral members: by cells: cope gidpith gircope grit ohope pittip prip todip cogrin 80 0 40 10 0 0 32 80 srocgrin 0 10 0 10 80 32 0 80 & others)
Face vector	1920, 5760, 6000, 2400, 242
Confer	related segmentotera: gritta gidpith   general polytopal classes: Wythoffian polytera
External links

As abstract polytope cogrin is isomorphic to quacgarn, thereby replacing octagons by octagrams, resp. op by stop and girco by quitco, resp. todip by tistodip, gircope by quitcope, and grit by gaqrit.

Incidence matrix according to Dynkin symbol

x3o3x3x4x

. . . . . | 1920 |    2    2   1   1 |   1   2   2   2   1   2   2   1 |   1   1   1   2   2   2   1   1  2 |  1  1  1  2  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x . . . . |    2 | 1920    *   *   * |   1   1   1   1   0   0   0   0 |   1   1   1   1   1   1   0   0  0 |  1  1  1  1  0
. . x . . |    2 |    * 1920   *   * |   0   1   0   0   1   1   1   0 |   1   0   0   1   1   0   1   1  1 |  1  1  0  1  1
. . . x . |    2 |    *    * 960   * |   0   0   2   0   0   2   0   1 |   0   1   0   2   0   2   1   0  2 |  1  0  1  2  1
. . . . x |    2 |    *    *   * 960 |   0   0   0   2   0   0   2   1 |   0   0   1   0   2   2   0   1  2 |  0  1  1  2  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x3o . . . |    3 |    3    0   0   0 | 640   *   *   *   *   *   *   * |   1   1   1   0   0   0   0   0  0 |  1  1  1  0  0
x . x . . |    4 |    2    2   0   0 |   * 960   *   *   *   *   *   * |   1   0   0   1   1   0   0   0  0 |  1  1  0  1  0
x . . x . |    4 |    2    0   2   0 |   *   * 960   *   *   *   *   * |   0   1   0   1   0   1   0   0  0 |  1  0  1  1  0
x . . . x |    4 |    2    0   0   2 |   *   *   * 960   *   *   *   * |   0   0   1   0   1   1   0   0  0 |  0  1  1  1  0
. o3x . . |    3 |    0    3   0   0 |   *   *   *   * 640   *   *   * |   1   0   0   0   0   0   1   1  0 |  1  1  0  0  1
. . x3x . |    6 |    0    3   3   0 |   *   *   *   *   * 640   *   * |   0   0   0   1   0   0   1   0  1 |  1  0  0  1  1
. . x . x |    4 |    0    2   0   2 |   *   *   *   *   *   * 960   * |   0   0   0   0   1   0   0   1  1 |  0  1  0  1  1
. . . x4x |    8 |    0    0   4   4 |   *   *   *   *   *   *   * 240 |   0   0   0   0   0   2   0   0  2 |  0  0  1  2  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x3o3x . . ♦   12 |   12   12   0   0 |   4   6   0   0   4   0   0   0 | 160   *   *   *   *   *   *   *  * |  1  1  0  0  0
x3o . x . ♦    6 |    6    0   3   0 |   2   0   3   0   0   0   0   0 |   * 320   *   *   *   *   *   *  * |  1  0  1  0  0
x3o . . x ♦    6 |    6    0   0   3 |   2   0   0   3   0   0   0   0 |   *   * 320   *   *   *   *   *  * |  0  1  1  0  0
x . x3x . ♦   12 |    6    6   6   0 |   0   3   3   0   0   2   0   0 |   *   *   * 320   *   *   *   *  * |  1  0  0  1  0
x . x . x ♦    8 |    4    4   0   4 |   0   2   0   2   0   0   2   0 |   *   *   *   * 480   *   *   *  * |  0  1  0  1  0
x . . x4x ♦   16 |    8    0   8   8 |   0   0   4   4   0   0   0   2 |   *   *   *   *   * 240   *   *  * |  0  0  1  1  0
. o3x3x . ♦   12 |    0   12   6   0 |   0   0   0   0   4   4   0   0 |   *   *   *   *   *   * 160   *  * |  1  0  0  0  1
. o3x . x ♦    6 |    0    6   0   3 |   0   0   0   0   2   0   3   0 |   *   *   *   *   *   *   * 320  * |  0  1  0  0  1
. . x3x4x ♦   48 |    0   24  24  24 |   0   0   0   0   0   8  12   6 |   *   *   *   *   *   *   *   * 80 |  0  0  0  1  1
----------+------+-------------------+---------------------------------+------------------------------------+---------------
x3o3x3x . ♦   60 |   60   60  30   0 |  20  30  30   0  20  20   0   0 |   5  10   0  10   0   0   5   0  0 | 32  *  *  *  *
x3o3x . x ♦   24 |   24   24   0  12 |   8  12   0  12   8   0  12   0 |   2   0   4   0   6   0   0   4  0 |  * 80  *  *  *
x3o . x4x ♦   24 |   24    0  12  12 |   8   0  12  12   0   0   0   3 |   0   4   4   0   0   3   0   0  0 |  *  * 80  *  *
x . x3x4x ♦   96 |   48   48  48  48 |   0  24  24  24   0  16  24  12 |   0   0   0   8  12   6   0   0  2 |  *  *  * 40  *
. o3x3x4x ♦  192 |    0  192  96  96 |   0   0   0   0  64  64  96  24 |   0   0   0   0   0   0  16  32  8 |  *  *  *  * 10

snubbed forms: x3o3x3x4s