Acronym pricope (old: pripe) Name prismatorhombated-icositetrachoron prism,runcitruncated-icositetrachoron prism Circumradius sqrt[33+12 sqrt(2)]/2 = 3.534493 Confer general polytopal classes: segmentotera Externallinks

Incidence matrix according to Dynkin symbol

```x x3x4o3x

. . . . . | 1152 |   1   1    2    2 |   1   2   2   2   2   1   2   1 |   2   2   1   2   1  1   2   1  1 |  1  2  1  1 1
----------+------+-------------------+---------------------------------+-----------------------------------+--------------
x . . . . |    2 | 576   *    *    * |   1   2   2   0   0   0   0   0 |   2   2   1   2   1  0   0   0  0 |  1  2  1  1 0
. x . . . |    2 |   * 576    *    * |   1   0   0   2   2   0   0   0 |   2   2   0   0   0  1   2   1  0 |  1  2  1  0 1
. . x . . |    2 |   *   * 1152    * |   0   1   0   1   0   1   1   0 |   1   0   1   1   0  1   1   0  1 |  1  1  0  1 1
. . . . x |    2 |   *   *    * 1152 |   0   0   1   0   1   0   1   1 |   0   1   0   1   1  0   1   1  1 |  0  1  1  1 1
----------+------+-------------------+---------------------------------+-----------------------------------+--------------
x x . . . |    4 |   2   2    0    0 | 288   *   *   *   *   *   *   * |   2   2   0   0   0  0   0   0  0 |  1  2  1  0 0
x . x . . |    4 |   2   0    2    0 |   * 576   *   *   *   *   *   * |   1   0   1   1   0  0   0   0  0 |  1  1  0  1 0
x . . . x |    4 |   2   0    0    2 |   *   * 576   *   *   *   *   * |   0   1   0   1   1  0   0   0  0 |  0  1  1  1 0
. x3x . . |    6 |   0   3    3    0 |   *   *   * 384   *   *   *   * |   1   0   0   0   0  1   1   0  0 |  1  1  0  0 1
. x . . x |    4 |   0   2    0    2 |   *   *   *   * 576   *   *   * |   0   1   0   0   0  0   1   1  0 |  0  1  1  0 1
. . x4o . |    4 |   0   0    4    0 |   *   *   *   *   * 288   *   * |   0   0   1   0   0  1   0   0  1 |  1  0  0  1 1
. . x . x |    4 |   0   0    2    2 |   *   *   *   *   *   * 576   * |   0   0   0   1   0  0   1   0  1 |  0  1  0  1 1
. . . o3x |    3 |   0   0    0    3 |   *   *   *   *   *   *   * 384 |   0   0   0   0   1  0   0   1  1 |  0  0  1  1 1
----------+------+-------------------+---------------------------------+-----------------------------------+--------------
x x3x . . ♦   12 |   6   6    6    0 |   3   3   0   2   0   0   0   0 | 192   *   *   *   *  *   *   *  * |  1  1  0  0 0
x x . . x ♦    8 |   4   4    0    4 |   2   0   2   0   2   0   0   0 |   * 288   *   *   *  *   *   *  * |  0  1  1  0 0
x . x4o . ♦    8 |   4   0    8    0 |   0   4   0   0   0   2   0   0 |   *   * 144   *   *  *   *   *  * |  1  0  0  1 0
x . x . x ♦    8 |   4   0    4    4 |   0   2   2   0   0   0   2   0 |   *   *   * 288   *  *   *   *  * |  0  1  0  1 0
x . . o3x ♦    6 |   3   0    0    6 |   0   0   3   0   0   0   0   2 |   *   *   *   * 192  *   *   *  * |  0  0  1  1 0
. x3x4o . ♦   24 |   0  12   24    0 |   0   0   0   8   0   6   0   0 |   *   *   *   *   * 48   *   *  * |  1  0  0  0 1
. x3x . x ♦   12 |   0   6    6    6 |   0   0   0   2   3   0   3   0 |   *   *   *   *   *  * 192   *  * |  0  1  0  0 1
. x . o3x ♦    6 |   0   3    0    6 |   0   0   0   0   3   0   0   2 |   *   *   *   *   *  *   * 192  * |  0  0  1  0 1
. . x4o3x ♦   24 |   0   0   24   24 |   0   0   0   0   0   6  12   8 |   *   *   *   *   *  *   *   * 48 |  0  0  0  1 1
----------+------+-------------------+---------------------------------+-----------------------------------+--------------
x x3x4o . ♦   48 |  24  24   48    0 |  12  24   0  16   0  12   0   0 |   8   0   6   0   0  2   0   0  0 | 24  *  *  * *
x x3x . x ♦   24 |  12  12   12   12 |   6   6   6   4   6   0   6   0 |   2   3   0   3   0  0   2   0  0 |  * 96  *  * *
x x . o3x ♦   12 |   6   6    0   12 |   3   0   6   0   6   0   0   4 |   0   3   0   0   2  0   0   2  0 |  *  * 96  * *
x . x4o3x ♦   48 |  24   0   48   48 |   0  24  24   0   0  12  24  16 |   0   0   6  12   8  0   0   0  2 |  *  *  * 24 *
. x3x4o3x ♦  576 |   0 288  576  576 |   0   0   0 192 288 144 288 192 |   0   0   0   0   0 24  96  96 24 |  *  *  *  * 2
```

```xx3xx4oo3xx&#x   → height = 1
(prico || prico)

o.3o.4o.3o.    | 576   * |   1   2   2   1   0   0   0 |   2   2   1   2   1   1   2   2   0   0   0   0   0 |  1  2  1  1   2   2   1   2   1  0  0  0  0 | 1  1  2  1  1 0
.o3.o4.o3.o    |   * 576 |   0   0   0   1   1   2   2 |   0   0   0   0   0   1   2   2   2   2   1   2   1 |  0  0  0  0   2   2   1   2   1  1  2  1  1 | 0  1  2  1  1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x. .. .. ..    |   2   0 | 288   *   *   *   *   *   * |   2   2   0   0   0   1   0   0   0   0   0   0   0 |  1  2  1  0   2   2   0   0   0  0  0  0  0 | 1  1  2  1  0 0
.. x. .. ..    |   2   0 |   * 576   *   *   *   *   * |   1   0   1   1   0   0   1   0   0   0   0   0   0 |  1  1  0  1   1   0   1   1   0  0  0  0  0 | 1  1  1  0  1 0
.. .. .. x.    |   2   0 |   *   * 576   *   *   *   * |   0   1   0   1   1   0   0   1   0   0   0   0   0 |  0  1  1  1   0   1   0   1   1  0  0  0  0 | 1  0  1  1  1 0
oo3oo4oo3oo&#x |   1   1 |   *   *   * 576   *   *   * |   0   0   0   0   0   1   2   2   0   0   0   0   0 |  0  0  0  0   2   2   1   2   1  0  0  0  0 | 0  1  2  1  1 0
.x .. .. ..    |   0   2 |   *   *   *   * 288   *   * |   0   0   0   0   0   1   0   0   2   2   0   0   0 |  0  0  0  0   2   2   0   0   0  1  2  1  0 | 0  1  2  1  0 1
.. .x .. ..    |   0   2 |   *   *   *   *   * 576   * |   0   0   0   0   0   0   1   0   1   0   1   1   0 |  0  0  0  0   1   0   1   1   0  1  1  0  1 | 0  1  1  0  1 1
.. .. .. .x    |   0   2 |   *   *   *   *   *   * 576 |   0   0   0   0   0   0   0   1   0   1   0   1   1 |  0  0  0  0   0   1   0   1   1  0  1  1  1 | 0  0  1  1  1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x.3x. .. ..    |   6   0 |   3   3   0   0   0   0   0 | 192   *   *   *   *   *   *   *   *   *   *   *   * |  1  1  0  0   1   0   0   0   0  0  0  0  0 | 1  1  1  0  0 0
x. .. .. x.    |   4   0 |   2   0   2   0   0   0   0 |   * 288   *   *   *   *   *   *   *   *   *   *   * |  0  1  1  0   0   1   0   0   0  0  0  0  0 | 1  0  1  1  0 0
.. x.4o. ..    |   4   0 |   0   4   0   0   0   0   0 |   *   * 144   *   *   *   *   *   *   *   *   *   * |  1  0  0  1   0   0   1   0   0  0  0  0  0 | 1  1  0  0  1 0
.. x. .. x.    |   4   0 |   0   2   2   0   0   0   0 |   *   *   * 288   *   *   *   *   *   *   *   *   * |  0  1  0  1   0   0   0   1   0  0  0  0  0 | 1  0  1  0  1 0
.. .. o.3x.    |   3   0 |   0   0   3   0   0   0   0 |   *   *   *   * 192   *   *   *   *   *   *   *   * |  0  0  1  1   0   0   0   0   1  0  0  0  0 | 1  0  0  1  1 0
xx .. .. ..&#x |   2   2 |   1   0   0   2   1   0   0 |   *   *   *   *   * 288   *   *   *   *   *   *   * |  0  0  0  0   2   2   0   0   0  0  0  0  0 | 0  1  2  1  0 0
.. xx .. ..&#x |   2   2 |   0   1   0   2   0   1   0 |   *   *   *   *   *   * 576   *   *   *   *   *   * |  0  0  0  0   1   0   1   1   0  0  0  0  0 | 0  1  1  0  1 0
.. .. .. xx&#x |   2   2 |   0   0   1   2   0   0   1 |   *   *   *   *   *   *   * 576   *   *   *   *   * |  0  0  0  0   0   1   0   1   1  0  0  0  0 | 0  0  1  1  1 0
.x3.x .. ..    |   0   6 |   0   0   0   0   3   3   0 |   *   *   *   *   *   *   *   * 192   *   *   *   * |  0  0  0  0   1   0   0   0   0  1  1  0  0 | 0  1  1  0  0 1
.x .. .. .x    |   0   4 |   0   0   0   0   2   0   2 |   *   *   *   *   *   *   *   *   * 288   *   *   * |  0  0  0  0   0   1   0   0   0  0  1  1  0 | 0  0  1  1  0 1
.. .x4.o ..    |   0   4 |   0   0   0   0   0   4   0 |   *   *   *   *   *   *   *   *   *   * 144   *   * |  0  0  0  0   0   0   1   0   0  1  0  0  1 | 0  1  0  0  1 1
.. .x .. .x    |   0   4 |   0   0   0   0   0   2   2 |   *   *   *   *   *   *   *   *   *   *   * 288   * |  0  0  0  0   0   0   0   1   0  0  1  0  1 | 0  0  1  0  1 1
.. .. .o3.x    |   0   3 |   0   0   0   0   0   0   3 |   *   *   *   *   *   *   *   *   *   *   *   * 192 |  0  0  0  0   0   0   0   0   1  0  0  1  1 | 0  0  0  1  1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x.3x.4o. ..    ♦  24   0 |  12  24   0   0   0   0   0 |   8   0   6   0   0   0   0   0   0   0   0   0   0 | 24  *  *  *   *   *   *   *   *  *  *  *  * | 1  1  0  0  0 0
x.3x. .. x.    ♦  12   0 |   6   6   6   0   0   0   0 |   2   3   0   3   0   0   0   0   0   0   0   0   0 |  * 96  *  *   *   *   *   *   *  *  *  *  * | 1  0  1  0  0 0
x. .. o.3x.    ♦   6   0 |   3   0   6   0   0   0   0 |   0   3   0   0   2   0   0   0   0   0   0   0   0 |  *  * 96  *   *   *   *   *   *  *  *  *  * | 1  0  0  1  0 0
.. x.4o.3x.    ♦  24   0 |   0  24  24   0   0   0   0 |   0   0   6  12   8   0   0   0   0   0   0   0   0 |  *  *  * 24   *   *   *   *   *  *  *  *  * | 1  0  0  0  1 0
xx3xx .. ..&#x ♦   6   6 |   3   3   0   6   3   3   0 |   1   0   0   0   0   3   3   0   1   0   0   0   0 |  *  *  *  * 192   *   *   *   *  *  *  *  * | 0  1  1  0  0 0
xx .. .. xx&#x ♦   4   4 |   2   0   2   4   2   0   2 |   0   1   0   0   0   2   0   2   0   1   0   0   0 |  *  *  *  *   * 288   *   *   *  *  *  *  * | 0  0  1  1  0 0
.. xx4oo ..&#x ♦   4   4 |   0   4   0   4   0   4   0 |   0   0   1   0   0   0   4   0   0   0   1   0   0 |  *  *  *  *   *   * 144   *   *  *  *  *  * | 0  1  0  0  1 0
.. xx .. xx&#x ♦   4   4 |   0   2   2   4   0   2   2 |   0   0   0   1   0   0   2   2   0   0   0   1   0 |  *  *  *  *   *   *   * 288   *  *  *  *  * | 0  0  1  0  1 0
.. .. oo3xx&#x ♦   3   3 |   0   0   3   3   0   0   3 |   0   0   0   0   1   0   0   3   0   0   0   0   1 |  *  *  *  *   *   *   *   * 192  *  *  *  * | 0  0  0  1  1 0
.x3.x4.o ..    ♦   0  24 |   0   0   0   0  12  24   0 |   0   0   0   0   0   0   0   0   8   0   6   0   0 |  *  *  *  *   *   *   *   *   * 24  *  *  * | 0  1  0  0  0 1
.x3.x .. .x    ♦   0  12 |   0   0   0   0   6   6   6 |   0   0   0   0   0   0   0   0   2   3   0   3   0 |  *  *  *  *   *   *   *   *   *  * 96  *  * | 0  0  1  0  0 1
.x .. .o3.x    ♦   0   6 |   0   0   0   0   3   0   6 |   0   0   0   0   0   0   0   0   0   3   0   0   2 |  *  *  *  *   *   *   *   *   *  *  * 96  * | 0  0  0  1  0 1
.. .x4.o3.x    ♦   0  24 |   0   0   0   0   0  24  24 |   0   0   0   0   0   0   0   0   0   0   6  12   8 |  *  *  *  *   *   *   *   *   *  *  *  * 24 | 0  0  0  0  1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x.3x.4o.3x.    ♦ 576   0 | 288 576 576   0   0   0   0 | 192 288 144 288 192   0   0   0   0   0   0   0   0 | 24 96 96 24   0   0   0   0   0  0  0  0  0 | 1  *  *  *  * *
xx3xx4oo ..&#x ♦  24  24 |  12  24   0  24  12  24   0 |   8   0   6   0   0  12  24   0   8   0   6   0   0 |  1  0  0  0   8   0   6   0   0  1  0  0  0 | * 24  *  *  * *
xx3xx .. xx&#x ♦  12  12 |   6   6   6  12   6   6   6 |   2   3   0   3   0   6   6   6   2   3   0   3   0 |  0  1  0  0   2   3   0   3   0  0  1  0  0 | *  * 96  *  * *
xx .. oo3xx&#x ♦   6   6 |   3   0   6   6   3   0   6 |   0   3   0   0   2   3   0   6   0   3   0   0   2 |  0  0  1  0   0   3   0   0   2  0  0  1  0 | *  *  * 96  * *
.. xx4oo3xx&#x ♦  24  24 |   0  24  24  24   0  24  24 |   0   0   6  12   8   0  24  24   0   0   6  12   8 |  0  0  0  1   0   0   6  12   8  0  0  0  1 | *  *  *  * 24 *
.x3.x4.o3.x    ♦   0 576 |   0   0   0   0 288 576 576 |   0   0   0   0   0   0   0   0 192 288 144 288 192 |  0  0  0  0   0   0   0   0   0 24 96 96 24 | *  *  *  *  * 1
```