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 Externallinks

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
```

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