Acronym	gippin
Name	great prismated penteract, runcicantitruncated penteract
Field of sections	©
Circumradius	sqrt[51+18 sqrt(2)]/2 = 4.371952
Vertex figure	©   ©
Coordinates	((1+3 sqrt(2))/2, (1+3 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign
Face vector	1920, 4800, 4240, 1560, 202
Confer	general polytopal classes: Wythoffian polytera
External links

As abstract polyteron gippin is isomorph to gaquapan, thereby replacing octagons by octagrams, resp. girco by quitco and op by stop, resp. gidpith by gaquidpoth and todip by tistodip.

Incidence matrix according to Dynkin symbol

o3x3x3x4x

. . . . . | 1920 |    2   1   1   1 |   1   2   2   2   1   1   1 |   1   1   1   2   2   2  1 |  1  1  1  2
----------+------+------------------+-----------------------------+----------------------------+------------
. x . . . |    2 | 1920   *   *   * |   1   1   1   1   0   0   0 |   1   1   1   1   1   1  0 |  1  1  1  1
. . x . . |    2 |    * 960   *   * |   0   2   0   0   1   1   0 |   1   0   0   2   2   0  1 |  1  1  0  2
. . . x . |    2 |    *   * 960   * |   0   0   2   0   1   0   1 |   0   1   0   2   0   2  1 |  1  0  1  2
. . . . x |    2 |    *   *   * 960 |   0   0   0   2   0   1   1 |   0   0   1   0   2   2  1 |  0  1  1  2
----------+------+------------------+-----------------------------+----------------------------+------------
o3x . . . |    3 |    3   0   0   0 | 640   *   *   *   *   *   * |   1   1   1   0   0   0  0 |  1  1  1  0
. x3x . . |    6 |    3   3   0   0 |   * 640   *   *   *   *   * |   1   0   0   1   1   0  0 |  1  1  0  1
. x . x . |    4 |    2   0   2   0 |   *   * 960   *   *   *   * |   0   1   0   1   0   1  0 |  1  0  1  1
. x . . x |    4 |    2   0   0   2 |   *   *   * 960   *   *   * |   0   0   1   0   1   1  0 |  0  1  1  1
. . x3x . |    6 |    0   3   3   0 |   *   *   *   * 320   *   * |   0   0   0   2   0   0  1 |  1  0  0  2
. . x . x |    4 |    0   2   0   2 |   *   *   *   *   * 480   * |   0   0   0   0   2   0  1 |  0  1  0  2
. . . x4x |    8 |    0   0   4   4 |   *   *   *   *   *   * 240 |   0   0   0   0   0   2  1 |  0  0  1  2
----------+------+------------------+-----------------------------+----------------------------+------------
o3x3x . . ♦   12 |   12   6   0   0 |   4   4   0   0   0   0   0 | 160   *   *   *   *   *  * |  1  1  0  0
o3x . x . ♦    6 |    6   0   3   0 |   2   0   3   0   0   0   0 |   * 320   *   *   *   *  * |  1  0  1  0
o3x . . x ♦    6 |    6   0   0   3 |   2   0   0   3   0   0   0 |   *   * 320   *   *   *  * |  0  1  1  0
. x3x3x . ♦   24 |   12  12  12   0 |   0   4   6   0   4   0   0 |   *   *   * 160   *   *  * |  1  0  0  1
. x3x . x ♦   12 |    6   6   0   6 |   0   2   0   3   0   3   0 |   *   *   *   * 320   *  * |  0  1  0  1
. x . x4x ♦   16 |    8   0   8   8 |   0   0   4   4   0   0   2 |   *   *   *   *   * 240  * |  0  0  1  1
. . x3x4x ♦   48 |    0  24  24  24 |   0   0   0   0   8  12   6 |   *   *   *   *   *   * 40 |  0  0  0  2
----------+------+------------------+-----------------------------+----------------------------+------------
o3x3x3x . ♦   60 |   60  30  30   0 |  20  20  30   0  10   0   0 |   5  10   0   5   0   0  0 | 32  *  *  *
o3x3x . x ♦   24 |   24  12   0  12 |   8   8   0  12   0   6   0 |   2   0   4   0   4   0  0 |  * 80  *  *
o3x . x4x ♦   24 |   24   0  12  12 |   8   0  12  12   0   0   3 |   0   4   4   0   0   3  0 |  *  * 80  *
. x3x3x4x ♦  384 |  192 192 192 192 |   0  64  96  96  64  96  48 |   0   0   0  16  32  24  8 |  *  *  * 10

snubbed forms: o3x3x3x4s