Acronym	quiptin
Name	quasiprismatotruncated penteract
Circumradius	sqrt[25-12 sqrt(2)]/2 = 1.416813
Coordinates	(2 sqrt(2)-1, 2 sqrt(2)-1, sqrt(2)-1, sqrt(2)-1, 1)/2   & all permutations, all changes of sign
Colonel of regiment	(is itself locally convex – uniform polyteral members: by facets: gaqrit giphado girpith ope quiproh rawvtip sirdop srip tistodip groptin 10 10 0 80 0 32 0 0 0 gloptin 10 0 10 0 0 0 32 0 80 quiptin 0 0 0 80 10 0 0 32 80 & others)
Face vector	960, 3360, 3760, 1560, 202
Confer	general polytopal classes: Wythoffian polytera
External links

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

Incidence matrix according to Dynkin symbol

o3x3o3x4/3x

. . . .   . | 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
. . . x4/3x |   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 . x4/3x ♦  16 |    8   8   8 |   0   0   4   4   2   2 |   *   *   *   *   * 240  * |  0  0  1  1
. . o3x4/3x ♦  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 . x4/3x ♦  24 |   24  12  12 |   8   0  12  12   0   3 |   0   4   4   0   0   3  0 |  *  * 80  *
. x3o3x4/3x ♦ 192 |  192 192  96 |   0  64  96  96  64  48 |   0   0   0  16  32  24  8 |  *  *  * 10

o3x3/2o3/2x4/3x

. .   .   .   . | 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
. x3/2o   .   . |   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
. .   o3/2x   . |   3 |    0   3   0 |   *   *   *   * 320   * |   0   0   0   2   0   0  1 |  1  0  0  2
. .   .   x4/3x |   8 |    0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2  1 |  0  0  1  2
----------------+-----+--------------+-------------------------+----------------------------+------------
o3x3/2o   .   . ♦   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
. x3/2o3/2x   . ♦  12 |   12  12   0 |   0   4   6   0   4   0 |   *   *   * 160   *   *  * |  1  0  0  1
. x3/2o   .   x ♦   6 |    6   0   3 |   0   2   0   3   0   0 |   *   *   *   * 320   *  * |  0  1  0  1
. x   .   x4/3x ♦  16 |    8   8   8 |   0   0   4   4   2   2 |   *   *   *   *   * 240  * |  0  0  1  1
. .   o3/2x4/3x ♦  24 |    0  24  12 |   0   0   0   0   8   6 |   *   *   *   *   *   * 40 |  0  0  0  2
----------------+-----+--------------+-------------------------+----------------------------+------------
o3x3/2o3/2x   . ♦  30 |   60  30   0 |  20  20  30   0  10   0 |   5  10   0   5   0   0  0 | 32  *  *  *
o3x3/2o   .   x ♦  12 |   24   0   6 |   8   8   0  12   0   0 |   2   0   4   0   4   0  0 |  * 80  *  *
o3x   .   x4/3x ♦  24 |   24  12  12 |   8   0  12  12   0   3 |   0   4   4   0   0   3  0 |  *  * 80  *
. x3/2o3/2x4/3x ♦ 192 |  192 192  96 |   0  64  96  96  64  48 |   0   0   0  16  32  24  8 |  *  *  * 10

o3/2x3o3x4/3x

.   . . .   . | 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
--------------+-----+--------------+-------------------------+----------------------------+------------
o3/2x . .   . |   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
.   . . x4/3x |   8 |    0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2  1 |  0  0  1  2
--------------+-----+--------------+-------------------------+----------------------------+------------
o3/2x3o .   . ♦   6 |   12   0   0 |   4   4   0   0   0   0 | 160   *   *   *   *   *  * |  1  1  0  0
o3/2x . x   . ♦   6 |    6   3   0 |   2   0   3   0   0   0 |   * 320   *   *   *   *  * |  1  0  1  0
o3/2x . .   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 . x4/3x ♦  16 |    8   8   8 |   0   0   4   4   2   2 |   *   *   *   *   * 240  * |  0  0  1  1
.   . o3x4/3x ♦  24 |    0  24  12 |   0   0   0   0   8   6 |   *   *   *   *   *   * 40 |  0  0  0  2
--------------+-----+--------------+-------------------------+----------------------------+------------
o3/2x3o3x   . ♦  30 |   60  30   0 |  20  20  30   0  10   0 |   5  10   0   5   0   0  0 | 32  *  *  *
o3/2x3o .   x ♦  12 |   24   0   6 |   8   8   0  12   0   0 |   2   0   4   0   4   0  0 |  * 80  *  *
o3/2x . x4/3x ♦  24 |   24  12  12 |   8   0  12  12   0   3 |   0   4   4   0   0   3  0 |  *  * 80  *
.   x3o3x4/3x ♦ 192 |  192 192  96 |   0  64  96  96  64  48 |   0   0   0  16  32  24  8 |  *  *  * 10

o3/2x3/2o3/2x4/3x

.   .   .   .   . | 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
------------------+-----+--------------+-------------------------+----------------------------+------------
o3/2x   .   .   . |   3 |    3   0   0 | 640   *   *   *   *   * |   1   1   1   0   0   0  0 |  1  1  1  0
.   x3/2o   .   . |   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
.   .   o3/2x   . |   3 |    0   3   0 |   *   *   *   * 320   * |   0   0   0   2   0   0  1 |  1  0  0  2
.   .   .   x4/3x |   8 |    0   4   4 |   *   *   *   *   * 240 |   0   0   0   0   0   2  1 |  0  0  1  2
------------------+-----+--------------+-------------------------+----------------------------+------------
o3/2x3/2o   .   . ♦   6 |   12   0   0 |   4   4   0   0   0   0 | 160   *   *   *   *   *  * |  1  1  0  0
o3/2x   .   x   . ♦   6 |    6   3   0 |   2   0   3   0   0   0 |   * 320   *   *   *   *  * |  1  0  1  0
o3/2x   .   .   x ♦   6 |    6   0   3 |   2   0   0   3   0   0 |   *   * 320   *   *   *  * |  0  1  1  0
.   x3/2o3/2x   . ♦  12 |   12  12   0 |   0   4   6   0   4   0 |   *   *   * 160   *   *  * |  1  0  0  1
.   x3/2o   .   x ♦   6 |    6   0   3 |   0   2   0   3   0   0 |   *   *   *   * 320   *  * |  0  1  0  1
.   x   .   x4/3x ♦  16 |    8   8   8 |   0   0   4   4   2   2 |   *   *   *   *   * 240  * |  0  0  1  1
.   .   o3/2x4/3x ♦  24 |    0  24  12 |   0   0   0   0   8   6 |   *   *   *   *   *   * 40 |  0  0  0  2
------------------+-----+--------------+-------------------------+----------------------------+------------
o3/2x3/2o3/2x   . ♦  30 |   60  30   0 |  20  20  30   0  10   0 |   5  10   0   5   0   0  0 | 32  *  *  *
o3/2x3/2o   .   x ♦  12 |   24   0   6 |   8   8   0  12   0   0 |   2   0   4   0   4   0  0 |  * 80  *  *
o3/2x   .   x4/3x ♦  24 |   24  12  12 |   8   0  12  12   0   3 |   0   4   4   0   0   3  0 |  *  * 80  *
.   x3/2o3/2x4/3x ♦ 192 |  192 192  96 |   0  64  96  96  64  48 |   0   0   0  16  32  24  8 |  *  *  * 10