Acronym prich
Name prismatorhombated cubic honeycomb,
runcitruncated cubic honeycomb
 
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Vertex figure
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general polytopal classes:
partial Stott expansions  
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As abstract polychoron prich is isomorphic to paqrich, thereby replacing sirco by querco. – It also is isomorph to quiprich, then replacing octagons by octagrams, resp. tic by quith and op by stop. – Finally it is isomorph to quipqrich, thereby doing both changes at once.


Incidence matrix according to Dynkin symbol

x4x3o4x   (N → ∞)

. . . . | 24N |   1   2   2 |  2   2  1   2  1 | 1  2  1 1
--------+-----+-------------+------------------+----------
x . . . |   2 | 12N   *   * |  2   2  0   0  0 | 1  2  1 0
. x . . |   2 |   * 24N   * |  1   0  1   1  0 | 1  1  0 1
. . . x |   2 |   *   * 24N |  0   1  0   1  1 | 0  1  1 1
--------+-----+-------------+------------------+----------
x4x . . |   8 |   4   4   0 | 6N   *  *   *  * | 1  1  0 0
x . . x |   4 |   2   0   2 |  * 12N  *   *  * | 0  1  1 0
. x3o . |   3 |   0   3   0 |  *   * 8N   *  * | 1  0  0 1
. x . x |   4 |   0   2   2 |  *   *  * 12N  * | 0  1  0 1
. . o4x |   4 |   0   0   4 |  *   *  *   * 6N | 0  0  1 1
--------+-----+-------------+------------------+----------
x4x3o .   24 |  12  24   0 |  6   0  8   0  0 | N  *  * *
x4x . x   16 |   8   8   8 |  2   4  0   4  0 | * 3N  * *
x . o4x    8 |   4   0   8 |  0   4  0   0  2 | *  * 3N *
. x3o4x   24 |   0  24  24 |  0   0  8  12  6 | *  *  * N

snubbed forms: s4x3o4x, x4x3o4s

:xxxx:4:xoox:4:xwwx:&##x   (N → ∞)   → heights alternatingly = 1/sqrt(2) = 0.707107 resp. = 1

 o... 4 o... 4 o...      | 8N  *  *  * |  1  1  1  1  0  0  0  0  0  0  0  1 |  1 1  1  1  1 0  0 0  0  0  0 0  1  1  1 |  1 1 0 1  1 1
 .o.. 4 .o.. 4 .o..      |  * 4N  *  * |  0  0  0  2  2  1  0  0  0  0  0  0 |  0 0  2  1  2 1  2 0  0  0  0 0  0  0  0 |  2 1 1 1  0 0
 ..o. 4 ..o. 4 ..o.      |  *  * 4N  * |  0  0  0  0  0  1  2  2  0  0  0  0 |  0 0  0  0  2 0  2 1  2  1  0 0  0  0  0 |  2 1 1 1  0 0
 ...o 4 ...o 4 ...o      |  *  *  * 8N |  0  0  0  0  0  0  0  1  1  1  1  1 |  0 0  0  0  1 0  0 0  1  1  1 1  1  1  1 |  1 1 0 1  1 1
-------------------------+-------------+-------------------------------------+------------------------------------------+--------------
 x...   ....   ....      |  2  0  0  0 | 4N  *  *  *  *  *  *  *  *  *  *  * |  1 0  1  0  0 0  0 0  0  0  0 0  1  0  0 |  1 0 0 1  1 0
 ....   x...   ....      |  2  0  0  0 |  * 4N  *  *  *  *  *  *  *  *  *  * |  0 1  0  1  0 0  0 0  0  0  0 0  0  1  0 |  0 1 0 1  0 1
 ....   ....   x...      |  2  0  0  0 |  *  * 4N  *  *  *  *  *  *  *  *  * |  1 1  0  0  1 0  0 0  0  0  0 0  0  0  1 |  1 1 0 0  1 1
 oo.. 4 oo.. 4 oo.. &#x  |  1  1  0  0 |  *  *  * 8N  *  *  *  *  *  *  *  * |  0 0  1  1  1 0  0 0  0  0  0 0  0  0  0 |  1 1 0 1  0 0
 .x..   ....   ....      |  0  2  0  0 |  *  *  *  * 4N  *  *  *  *  *  *  * |  0 0  1  0  0 1  1 0  0  0  0 0  0  0  0 |  1 0 1 1  0 0
 .oo. 4 .oo. 4 .oo. &#x  |  0  1  1  0 |  *  *  *  *  * 4N  *  *  *  *  *  * |  0 0  0  0  2 0  2 0  0  0  0 0  0  0  0 |  2 1 1 0  0 0
 ..x.   ....   ....      |  0  0  2  0 |  *  *  *  *  *  * 4N  *  *  *  *  * |  0 0  0  0  0 0  1 1  1  0  0 0  0  0  0 |  1 0 1 1  0 0
 ..oo 4 ..oo 4 ..oo &#x  |  0  0  1  1 |  *  *  *  *  *  *  * 8N  *  *  *  * |  0 0  0  0  1 0  0 0  1  1  0 0  0  0  0 |  1 1 0 1  0 0
 ...x   ....   ....      |  0  0  0  2 |  *  *  *  *  *  *  *  * 4N  *  *  * |  0 0  0  0  0 0  0 0  1  0  1 0  1  0  0 |  1 0 0 1  1 0
 ....   ...x   ....      |  0  0  0  2 |  *  *  *  *  *  *  *  *  * 4N  *  * |  0 0  0  0  0 0  0 0  0  1  0 1  0  1  0 |  0 1 0 1  0 1
 ....   ....   ...x      |  0  0  0  2 |  *  *  *  *  *  *  *  *  *  * 4N  * |  0 0  0  0  1 0  0 0  0  0  1 1  0  0  1 |  1 1 0 0  1 1
:o..o:4:o..o:4:o..o:&#x  |  1  0  0  1 |  *  *  *  *  *  *  *  *  *  *  * 8N |  0 0  0  0  0 0  0 0  0  0  0 0  1  1  1 |  0 0 0 1  1 1
-------------------------+-------------+-------------------------------------+------------------------------------------+--------------
 x...   ....   x...      |  4  0  0  0 |  2  0  2  0  0  0  0  0  0  0  0  0 | 2N *  *  *  * *  * *  *  *  * *  *  *  * |  1 0 0 0  1 0
 ....   x... 4 x...      |  8  0  0  0 |  0  4  4  0  0  0  0  0  0  0  0  0 |  * N  *  *  * *  * *  *  *  * *  *  *  * |  0 1 0 0  0 1
 xx..   ....   .... &#x  |  2  2  0  0 |  1  0  0  2  1  0  0  0  0  0  0  0 |  * * 4N  *  * *  * *  *  *  * *  *  *  * |  1 0 0 1  0 0
 ....   xo..   .... &#x  |  2  1  0  0 |  0  1  0  2  0  0  0  0  0  0  0  0 |  * *  * 4N  * *  * *  *  *  * *  *  *  * |  0 1 0 1  0 0
 ....   ....   xwwx &#xt |  2  2  2  2 |  0  0  1  2  0  2  0  2  0  0  1  0 |  * *  *  * 4N *  * *  *  *  * *  *  *  * |  1 1 0 0  0 0
 .x.. 4 .o..   ....      |  0  4  0  0 |  0  0  0  0  4  0  0  0  0  0  0  0 |  * *  *  *  * N  * *  *  *  * *  *  *  * |  0 0 1 1  0 0
 .xx.   ....   .... &#x  |  0  2  2  0 |  0  0  0  0  1  2  1  0  0  0  0  0 |  * *  *  *  * * 4N *  *  *  * *  *  *  * |  1 0 1 0  0 0
 ..x. 4 ..o.   ....      |  0  0  4  0 |  0  0  0  0  0  0  4  0  0  0  0  0 |  * *  *  *  * *  * N  *  *  * *  *  *  * |  0 0 1 1  0 0
 ..xx   ....   .... &#x  |  0  0  2  2 |  0  0  0  0  0  0  1  2  1  0  0  0 |  * *  *  *  * *  * * 4N  *  * *  *  *  * |  1 0 0 1  0 0
 ....   ..ox   .... &#x  |  0  0  1  2 |  0  0  0  0  0  0  0  2  0  1  0  0 |  * *  *  *  * *  * *  * 4N  * *  *  *  * |  0 1 0 1  0 0
 ...x   ....   ...x      |  0  0  0  4 |  0  0  0  0  0  0  0  0  2  0  2  0 |  * *  *  *  * *  * *  *  * 2N *  *  *  * |  1 0 0 0  1 0
 ....   ...x 4 ...x      |  0  0  0  8 |  0  0  0  0  0  0  0  0  0  4  4  0 |  * *  *  *  * *  * *  *  *  * N  *  *  * |  0 1 0 0  0 1
:x..x:  ....   .... &#x  |  2  0  0  2 |  1  0  0  0  0  0  0  0  1  0  0  2 |  * *  *  *  * *  * *  *  *  * * 4N  *  * |  0 0 0 1  1 0
 ....  :x..x:  .... &#x  |  2  0  0  2 |  0  1  0  0  0  0  0  0  0  1  0  2 |  * *  *  *  * *  * *  *  *  * *  * 4N  * |  0 0 0 1  0 1
 ....   ....  :x..x:&#x  |  2  0  0  2 |  0  0  1  0  0  0  0  0  0  0  1  2 |  * *  *  *  * *  * *  *  *  * *  *  * 4N |  0 0 0 0  1 1
-------------------------+-------------+-------------------------------------+------------------------------------------+--------------
 xxxx   ....   xwwx &#xt   4  4  4  4 |  2  0  2  4  2  4  2  4  2  0  2  0 |  1 0  2  0  2 0  2 0  2  0  1 0  0  0  0 | 2N * * *  * *
 ....   xoox 4 xwwx &#xt   8  4  4  8 |  0  4  4  8  0  4  0  8  0  4  4  0 |  0 1  0  4  4 0  0 0  0  4  0 1  0  0  0 |  * N * *  * *
 .xx. 4 .oo.   .... &#x    0  4  4  0 |  0  0  0  0  4  4  4  0  0  0  0  0 |  0 0  0  0  0 1  4 1  0  0  0 0  0  0  0 |  * * N *  * *
:xxxx:4:xoox:  .... &#xt   8  4  4  8 |  4  4  0  8  4  0  4  8  4  4  0  8 |  0 0  4  4  0 1  0 1  4  4  0 0  4  4  0 |  * * * N  * *
:x..x:  ....  :x..x:&#x    4  0  0  4 |  2  0  2  0  0  0  0  0  2  0  2  4 |  1 0  0  0  0 0  0 0  0  0  1 0  2  0  2 |  * * * * 2N *
 ....  :x..x:4:x..x:&#x    8  0  0  8 |  0  4  4  0  0  0  0  0  0  4  4  8 |  0 1  0  0  0 0  0 0  0  0  0 1  0  4  4 |  * * * *  * N

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