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
External
links
hedrondude   wikipedia  

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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