Acronym pacca pin Name partially contracted celliprismated penteract Circumradius ... Lace cityin approx. ASCII-art ``` o3o4x x3o4x o3o4x -- pacsid pith o3o4x u3o4x o3o4x -- pacsid pith variant x3o4x u3o4x x3x4x u3o4x x3o4x -- pacprit x3o4x u3o4x x3x4x u3o4x x3o4x -- pacprit o3o4x u3o4x o3o4x -- pacsid pith variant o3o4x x3o4x o3o4x -- pacsid pith | | | | +-- x3o3o4x (sidpith) | | | +--------- u3o3o4x (sidpith variant) | | +---------------- x3x3o4x (prit) | +----------------------- u3o3o4x (sidpith variant) +------------------------------ x3o3o4x (sidpith) ``` Coordinates (sqrt(2); 1/2, 1/2, 1/2, (1+sqrt(2))/2)                     & all permutations within all but first coord, all changes of sign (1/sqrt(2); 1/2, 1/2, 1/2, (1+2 sqrt(2))/2)               & all permutations within all but first coord, all changes of sign (0; 1/2, 1/2, (1+sqrt(2))/2, (1+2 sqrt(2))/2)           & all permutations within all but first coord, all changes of sign Confer uniform relative: tot   cappin   prittip   general polytopal classes: partial Stott expansions

This CRF polyteron can be obtained from cappin by partial Stott contraction only within an axial direction. In fact it happens to be just its removal of the medial segment prittip.

Incidence matrix according to Dynkin symbol

```Qqo xux3oox3ooo4xxx&#zxt

o.. o..3o..3o..4o..     | 128   *   * |   3   3   4   1   1  0   0   0 |   3   6  3   3   3  0   0   0  0  0  0  0  0 |  1  3  3  1   3   6  3  0   0   0  0  0  0  0 | 1  1  3  3  1 0
.o. .o.3.o.3.o.4.o.     |   * 128   * |   0   0   1   3   3  0   0   0 |   0   0  0   3   3  3   3   6  0  0  0  0  0 |  0  0  0  0   3   6  3  1   1   3  3  0  0  0 | 0  1  3  3  1 1
..o ..o3..o3..o4..o     |   *   * 192 |   0   0   0   0   2  1   2   2 |   0   0  0   2   0  0   6   4  2  2  1  2  1 |  0  0  0  0   4   4  0  0   2   4  2  1  2  1 | 0  2  4  2  0 1
------------------------+-------------+--------------------------------+----------------------------------------------+-----------------------------------------------+----------------
... x.. ... ... ...     |   2   0   0 | 192   *   *   *   *  *   *   * |   2   2  0   1   0  0   0   0  0  0  0  0  0 |  1  2  1  0   2   2  0  0   0   0  0  0  0  0 | 1  1  2  1  0 0
... ... ... ... x..     |   2   0   0 |   * 192   *   *   *  *   *   * |   0   2  2   0   1  0   0   0  0  0  0  0  0 |  0  1  2  1   0   2  2  0   0   0  0  0  0  0 | 1  0  1  2  1 0
oo. oo.3oo.3oo.4oo.&#x  |   1   1   0 |   *   * 128   *   *  *   *   * |   0   0  0   3   3  0   0   0  0  0  0  0  0 |  0  0  0  0   3   6  3  0   0   0  0  0  0  0 | 0  1  3  3  1 0
... ... ... ... .x.     |   0   2   0 |   *   *   * 192   *  *   *   * |   0   0  0   0   1  2   0   2  0  0  0  0  0 |  0  0  0  0   0   2  2  1   0   1  2  0  0  0 | 0  0  1  2  1 1
.oo .oo3.oo3.oo4.oo&#x  |   0   1   1 |   *   *   *   * 384  *   *   * |   0   0  0   1   0  0   2   2  0  0  0  0  0 |  0  0  0  0   2   2  0  0   1   2  1  0  0  0 | 0  1  2  1  0 1
... ..x ... ... ...     |   0   0   2 |   *   *   *   *   * 96   *   * |   0   0  0   2   0  0   0   0  2  2  0  0  0 |  0  0  0  0   4   4  0  0   0   0  0  1  2  1 | 0  2  4  2  0 0
... ... ..x ... ...     |   0   0   2 |   *   *   *   *   *  * 192   * |   0   0  0   0   0  0   2   0  1  0  1  1  0 |  0  0  0  0   2   0  0  0   2   2  0  1  1  0 | 0  2  2  0  0 1
... ... ... ... ..x     |   0   0   2 |   *   *   *   *   *  *   * 192 |   0   0  0   0   0  0   0   2  0  1  0  1  1 |  0  0  0  0   0   2  0  0   0   2  2  0  1  1 | 0  0  2  2  0 1
------------------------+-------------+--------------------------------+----------------------------------------------+-----------------------------------------------+----------------
... x..3o.. ... ...     |   3   0   0 |   3   0   0   0   0  0   0   0 | 128   *  *   *   *  *   *   *  *  *  *  *  * |  1  1  0  0   1   0  0  0   0   0  0  0  0  0 | 1  1  1  0  0 0
... x.. ... ... x..     |   4   0   0 |   2   2   0   0   0  0   0   0 |   * 192  *   *   *  *   *   *  *  *  *  *  * |  0  1  1  0   0   1  0  0   0   0  0  0  0  0 | 1  0  1  1  0 0
... ... ... o..4x..     |   4   0   0 |   0   4   0   0   0  0   0   0 |   *   * 96   *   *  *   *   *  *  *  *  *  * |  0  0  1  1   0   0  1  0   0   0  0  0  0  0 | 1  0  0  1  1 0
... xux ... ... ...&#xt |   2   2   2 |   1   0   2   0   2  1   0   0 |   *   *  * 192   *  *   *   *  *  *  *  *  * |  0  0  0  0   2   2  0  0   0   0  0  0  0  0 | 0  1  2  1  0 0
... ... ... ... xx.&#x  |   2   2   0 |   0   1   2   1   0  0   0   0 |   *   *  *   * 192  *   *   *  *  *  *  *  * |  0  0  0  0   0   2  2  0   0   0  0  0  0  0 | 0  0  1  2  1 0
... ... ... .o.4.x.     |   0   4   0 |   0   0   0   4   0  0   0   0 |   *   *  *   *   * 96   *   *  *  *  *  *  * |  0  0  0  0   0   0  1  1   0   0  1  0  0  0 | 0  0  0  1  1 1
... ... .ox ... ...&#x  |   0   1   3 |   0   0   0   0   2  0   1   0 |   *   *  *   *   *  * 384   *  *  *  *  *  * |  0  0  0  0   1   0  0  0   1   1  0  0  0  0 | 0  1  1  0  0 1
... ... ... ... .xx&#x  |   0   2   2 |   0   0   0   1   2  0   0   1 |   *   *  *   *   *  *   * 384  *  *  *  *  * |  0  0  0  0   0   1  0  0   0   1  1  0  0  0 | 0  0  1  1  0 1
... ..x3..x ... ...     |   0   0   6 |   0   0   0   0   0  3   3   0 |   *   *  *   *   *  *   *   * 64  *  *  *  * |  0  0  0  0   2   0  0  0   0   0  0  1  1  0 | 0  2  2  0  0 0
... ..x ... ... ..x     |   0   0   4 |   0   0   0   0   0  2   0   2 |   *   *  *   *   *  *   *   *  * 96  *  *  * |  0  0  0  0   0   2  0  0   0   0  0  0  1  1 | 0  0  2  2  0 0
... ... ..x3..o ...     |   0   0   3 |   0   0   0   0   0  0   3   0 |   *   *  *   *   *  *   *   *  *  * 64  *  * |  0  0  0  0   0   0  0  0   2   0  0  1  0  0 | 0  2  0  0  0 1
... ... ..x ... ..x     |   0   0   4 |   0   0   0   0   0  0   2   2 |   *   *  *   *   *  *   *   *  *  *  * 96  * |  0  0  0  0   0   0  0  0   0   2  0  0  1  0 | 0  0  2  0  0 1
... ... ... ..o4..x     |   0   0   4 |   0   0   0   0   0  0   0   4 |   *   *  *   *   *  *   *   *  *  *  *  * 48 |  0  0  0  0   0   0  0  0   0   0  2  0  0  1 | 0  0  0  2  0 1
------------------------+-------------+--------------------------------+----------------------------------------------+-----------------------------------------------+----------------
... x..3o..3o.. ...     ♦   4   0   0 |   6   0   0   0   0  0   0   0 |   4   0  0   0   0  0   0   0  0  0  0  0  0 | 32  *  *  *   *   *  *  *   *   *  *  *  *  * | 1  1  0  0  0 0
... x..3o.. ... x..     ♦   6   0   0 |   6   3   0   0   0  0   0   0 |   2   3  0   0   0  0   0   0  0  0  0  0  0 |  * 64  *  *   *   *  *  *   *   *  *  *  *  * | 1  0  1  0  0 0
... x.. ... o..4x..     ♦   8   0   0 |   4   8   0   0   0  0   0   0 |   0   4  2   0   0  0   0   0  0  0  0  0  0 |  *  * 48  *   *   *  *  *   *   *  *  *  *  * | 1  0  0  1  0 0
... ... o..3o..4x..     ♦   8   0   0 |   0  12   0   0   0  0   0   0 |   0   0  6   0   0  0   0   0  0  0  0  0  0 |  *  *  * 16   *   *  *  *   *   *  *  *  *  * | 1  0  0  0  1 0
... xux3oox ... ...&#xt ♦   3   3   6 |   3   0   3   0   6  3   3   0 |   1   0  0   3   0  0   3   0  1  0  0  0  0 |  *  *  *  * 128   *  *  *   *   *  *  *  *  * | 0  1  1  0  0 0
... xux ... ... xxx&#xt ♦   4   4   4 |   2   2   4   2   4  2   0   2 |   0   1  0   2   2  0   0   2  0  1  0  0  0 |  *  *  *  *   * 192  *  *   *   *  *  *  *  * | 0  0  1  1  0 0
... ... ... oo.4xx.&#x  ♦   4   4   0 |   0   4   4   4   0  0   0   0 |   0   0  1   0   4  1   0   0  0  0  0  0  0 |  *  *  *  *   *   * 96  *   *   *  *  *  *  * | 0  0  0  1  1 0
... ... .o.3.o.4.x.     ♦   0   8   0 |   0   0   0  12   0  0   0   0 |   0   0  0   0   0  6   0   0  0  0  0  0  0 |  *  *  *  *   *   *  * 16   *   *  *  *  *  * | 0  0  0  0  1 1
... ... .ox3.oo ...&#x  ♦   0   1   3 |   0   0   0   0   3  0   3   0 |   0   0  0   0   0  0   3   0  0  0  1  0  0 |  *  *  *  *   *   *  *  * 128   *  *  *  *  * | 0  1  0  0  0 1
... ... .ox ... .xx&#x  ♦   0   2   4 |   0   0   0   1   4  0   2   2 |   0   0  0   0   0  0   2   2  0  0  0  1  0 |  *  *  *  *   *   *  *  *   * 192  *  *  *  * | 0  0  1  0  0 1
... ... ... .oo4.xx&#x  ♦   0   4   4 |   0   0   0   4   4  0   0   4 |   0   0  0   0   0  1   0   4  0  0  0  0  1 |  *  *  *  *   *   *  *  *   *   * 96  *  *  * | 0  0  0  1  0 1
... ..x3..x3..o ...     ♦   0   0  12 |   0   0   0   0   0  6  12   0 |   0   0  0   0   0  0   0   0  4  0  4  0  0 |  *  *  *  *   *   *  *  *   *   *  * 16  *  * | 0  2  0  0  0 0
... ..x3..x ... ..x     ♦   0   0  12 |   0   0   0   0   0  6   6   6 |   0   0  0   0   0  0   0   0  2  3  0  3  0 |  *  *  *  *   *   *  *  *   *   *  *  * 32  * | 0  0  2  0  0 0
... ..x ... ..o4..x     ♦   0   0   8 |   0   0   0   0   0  4   0   8 |   0   0  0   0   0  0   0   0  0  4  0  0  2 |  *  *  *  *   *   *  *  *   *   *  *  *  * 24 | 0  0  0  2  0 0
------------------------+-------------+--------------------------------+----------------------------------------------+-----------------------------------------------+----------------
... x..3o..3o..4x..     ♦  64   0   0 |  96  96   0   0   0  0   0   0 |  64  96 48   0   0  0   0   0  0  0  0  0  0 | 16 32 24  8   0   0  0  0   0   0  0  0  0  0 | 2  *  *  *  * *
... xux3oox3ooo ...&#xt ♦   4   4  12 |   6   0   4   0  12  6  12   0 |   4   0  0   6   0  0  12   0  4  0  4  0  0 |  1  0  0  0   4   0  0  0   4   0  0  1  0  0 | * 32  *  *  * *
... xux3oox ... xxx&#xt ♦   6   6  12 |   6   3   6   3  12  6   6   6 |   2   3  0   6   3  0   6   6  2  3  0  3  0 |  0  1  0  0   2   3  0  0   0   3  0  0  1  0 | *  * 64  *  * *
... xux ... ooo4xxx&#xt ♦   8   8   8 |   4   8   8   8   8  4   0   8 |   0   4  2   4   8  2   0   8  0  4  0  0  2 |  0  0  1  0   0   4  2  0   0   0  2  0  0  1 | *  *  * 48  * *
... ... oo.3oo.4xx.&#x  ♦   8   8   0 |   0  12   8  12   0  0   0   0 |   0   0  6   0  12  6   0   0  0  0  0  0  0 |  0  0  0  1   0   0  6  1   0   0  0  0  0  0 | *  *  *  * 16 *
.qo ... .ox3.oo4.xx&#zx ♦   0  16  24 |   0   0   0  24  48  0  24  24 |   0   0  0   0   0 12  48  48  0  0  8 12  6 |  0  0  0  0   0   0  0  2  16  24 12  0  0  0 | *  *  *  *  * 8
```