Acronym pattin Name prismatotruncated penteract,runcitruncated penteract Circumradius sqrt[25+12 sqrt(2)]/2 = 3.239235 Vertex figure ` ©` Coordinates ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2)   & all permutations, all changes of sign Externallinks

As abstract polyteron pattin is isomorph to quiptin, thereby replacing octagons by octagrams, resp. op by stop and tic by quith, resp. todip by tistodip and proh by quiproh.

Incidence matrix according to Dynkin symbol

```o3x3o3x4x

. . . . . | 960 |    4   2   1 |   2   2   4   4   1   2 |   1   2   2   2   2   4  1 |  1  1  2  2
----------+-----+--------------+-------------------------+----------------------------+------------
. x . . . |   2 | 1920   *   * |   1   1   1   1   0   0 |   1   1   1   1   1   1  0 |  1  1  1  1
. . . x . |   2 |    * 960   * |   0   0   2   0   1   1 |   0   1   0   2   0   2  1 |  1  0  1  2
. . . . x |   2 |    *   * 480 |   0   0   0   4   0   2 |   0   0   2   0   2   4  1 |  0  1  2  2
----------+-----+--------------+-------------------------+----------------------------+------------
o3x . . . |   3 |    3   0   0 | 640   *   *   *   *   * |   1   1   1   0   0   0  0 |  1  1  1  0
. x3o . . |   3 |    3   0   0 |   * 640   *   *   *   * |   1   0   0   1   1   0  0 |  1  1  0  1
. x . x . |   4 |    2   2   0 |   *   * 960   *   *   * |   0   1   0   1   0   1  0 |  1  0  1  1
. x . . x |   4 |    2   0   2 |   *   *   * 960   *   * |   0   0   1   0   1   1  0 |  0  1  1  1
. . o3x . |   3 |    0   3   0 |   *   *   *   * 320   * |   0   0   0   2   0   0  1 |  1  0  0  2
. . . x4x |   8 |    0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2  1 |  0  0  1  2
----------+-----+--------------+-------------------------+----------------------------+------------
o3x3o . . ♦   6 |   12   0   0 |   4   4   0   0   0   0 | 160   *   *   *   *   *  * |  1  1  0  0
o3x . x . ♦   6 |    6   3   0 |   2   0   3   0   0   0 |   * 320   *   *   *   *  * |  1  0  1  0
o3x . . x ♦   6 |    6   0   3 |   2   0   0   3   0   0 |   *   * 320   *   *   *  * |  0  1  1  0
. x3o3x . ♦  12 |   12  12   0 |   0   4   6   0   4   0 |   *   *   * 160   *   *  * |  1  0  0  1
. x3o . x ♦   6 |    6   0   3 |   0   2   0   3   0   0 |   *   *   *   * 320   *  * |  0  1  0  1
. x . x4x ♦  16 |    8   8   8 |   0   0   4   4   2   2 |   *   *   *   *   * 240  * |  0  0  1  1
. . o3x4x ♦  24 |    0  24  12 |   0   0   0   0   8   6 |   *   *   *   *   *   * 40 |  0  0  0  2
----------+-----+--------------+-------------------------+----------------------------+------------
o3x3o3x . ♦  30 |   60  30   0 |  20  20  30   0  10   0 |   5  10   0   5   0   0  0 | 32  *  *  *
o3x3o . x ♦  12 |   24   0   6 |   8   8   0  12   0   0 |   2   0   4   0   4   0  0 |  * 80  *  *
o3x . x4x ♦  24 |   24  12  12 |   8   0  12  12   0   3 |   0   4   4   0   0   3  0 |  *  * 80  *
. x3o3x4x ♦ 192 |  192 192  96 |   0  64  96  96  64  48 |   0   0   0  16  32  24  8 |  *  *  * 10

snubbed forms: o3x3o3x4s
```

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