Acronym owau prit   (alt.: pox spic, alt.: phic prico)
Name octa-augmented prismatorhombated tesseract,
partially octa-expanded small prismated (dis)icositetrachoron,
partially hexadeca-contracted prismatorhombated icositetrachoron
 
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Dihedral angles
  • at {4} between hip and trip:   arccos(-sqrt[8/9]) = 160.528779°
  • at {4} between trip and trip:   arccos(-sqrt[8/9]) = 160.528779°
  • at {3} between esquidpy and trip:   150°
  • at {6} between hip and tut:   150°
  • at {3} between oct and trip:   150°
  • at {3} between trip and tut:   150°
  • at {4} between esquidpy and hip:   arccos(-sqrt[2/3]) = 144.735610°
Confer
uniform relative:
prit   prico   spic  
related segmentochora:
oct || sirco  
related CRFs:
poc prico  
general polytopal classes:
partial Stott expansions  

This CRF polychoron can be obtained from prit by generally augmenting by oct || sirco.

Alternatively it can be obtained from spic by partial Stott expanding only 8 out of one class of octs (in hexadecachoral positioning). In that process the remaining 16 ones would be expanded into tuts, while any of the other class of octs becomes an esquidpy (J15).

Conversely it can be obtained by a similar partial Stott contraction from poc prico (which in turn is derived by such a contraction from prico).


Incidence matrix according to Dynkin symbol

wx3xx3oo4ox&#zx   → height = 0
(tegum sum of (w,x)-thex and prit)

o.3o.3o.4o.     | 48   * |  4   4  0   0   0 |  4   8   4  0  0  0  0 | 1  1  4  4  0  0
.o3.o3.o4.o     |  * 192 |  0   1  1   2   2 |  0   2   2  2  2  1  2 | 0  1  1  2  1  2
----------------+--------+-------------------+------------------------+-----------------
.. x. .. ..     |  2   0 | 96   *  *   *   * |  2   2   0  0  0  0  0 | 1  0  2  1  0  0
oo3oo3oo4oo&#x  |  1   1 |  * 192  *   *   * |  0   2   2  0  0  0  0 | 0  1  1  2  0  0
.x .. .. ..     |  0   2 |  *   * 96   *   * |  0   0   0  2  2  0  0 | 0  1  0  0  1  2
.. .x .. ..     |  0   2 |  *   *  * 192   * |  0   1   0  1  0  1  1 | 0  0  1  1  1  1
.. .. .. .x     |  0   2 |  *   *  *   * 192 |  0   0   1  0  1  0  1 | 0  1  0  1  0  1
----------------+--------+-------------------+------------------------+-----------------
.. x.3o. ..     |  3   0 |  3   0  0   0   0 | 64   *   *  *  *  *  * | 1  0  1  0  0  0
.. xx .. ..&#x  |  2   2 |  1   2  0   1   0 |  * 192   *  *  *  *  * | 0  0  1  1  0  0
.. .. .. ox&#x  |  1   2 |  0   2  0   0   1 |  *   * 192  *  *  *  * | 0  1  0  1  0  0
.x3.x .. ..     |  0   6 |  0   0  3   3   0 |  *   *   * 64  *  *  * | 0  0  0  0  1  1
.x .. .. .x     |  0   4 |  0   0  2   0   2 |  *   *   *  * 96  *  * | 0  1  0  0  0  1
.. .x3.o ..     |  0   3 |  0   0  0   3   0 |  *   *   *  *  * 64  * | 0  0  1  0  1  0
.. .x .. .x     |  0   4 |  0   0  0   2   2 |  *   *   *  *  *  * 96 | 0  0  0  1  0  1
----------------+--------+-------------------+------------------------+-----------------
.. x.3o.4o.       6   0 | 12   0  0   0   0 |  8   0   0  0  0  0  0 | 8  *  *  *  *  *
wx .. oo4ox&#zx   2   8 |  0   8  4   0   8 |  0   0   8  0  4  0  0 | * 24  *  *  *  *
.. xx3oo ..&#x    3   3 |  3   3  0   3   0 |  1   3   0  0  0  1  0 | *  * 64  *  *  *
.. xx .. ox&#x    2   4 |  1   4  0   2   2 |  0   2   2  0  0  0  1 | *  *  * 96  *  *
.x3.x3.o ..       0  12 |  0   0  6  12   0 |  0   0   0  4  0  4  0 | *  *  *  * 16  *
.x3.x .. .x       0  12 |  0   0  6   6   6 |  0   0   0  2  3  0  3 | *  *  *  *  * 32

wxx3xxx3oqo *b3ooq&#zx
(tegum sum of (w,x)-thex and 2 mutually gyrated (x,x,q)-tahs)

o..3o..3o.. *b3o..     | 48  *  * |  4  2  2  0  0   0  0  0 |  2  2  4  4   4  0  0  0  0  0  0 | 1  2  2  1  4 0  0 0
.o.3.o.3.o. *b3.o.     |  * 96  * |  0  1  0  1  2   2  0  0 |  0  0  2  0   2  2  1  2  2  0  0 | 0  1  0  1  2 1  2 0
..o3..o3..o *b3..o     |  *  * 96 |  0  0  1  0  0   2  1  2 |  0  0  0  2   2  0  0  2  2  2  1 | 0  0  1  1  2 0  2 1
-----------------------+----------+--------------------------+-----------------------------------+---------------------
... x.. ...    ...     |  2  0  0 | 96  *  *  *  *   *  *  * |  1  1  1  1   0  0  0  0  0  0  0 | 1  1  1  0  1 0  0 0
oo.3oo.3oo. *b3oo.&#x  |  1  1  0 |  * 96  *  *  *   *  *  * |  0  0  2  0   2  0  0  0  0  0  0 | 0  1  0  1  2 0  0 0
o.o3o.o3o.o *b3o.o&#x  |  1  0  1 |  *  * 96  *  *   *  *  * |  0  0  0  2   2  0  0  0  0  0  0 | 0  0  1  1  2 0  0 0
.x. ... ...    ...     |  0  2  0 |  *  *  * 48  *   *  *  * |  0  0  0  0   0  2  0  2  0  0  0 | 0  0  0  1  0 1  2 0
... .x. ...    ...     |  0  2  0 |  *  *  *  * 96   *  *  * |  0  0  1  0   0  1  1  0  1  0  0 | 0  1  0  0  1 1  1 0
.oo3.oo3.oo *b3.oo&#x  |  0  1  1 |  *  *  *  *  * 192  *  * |  0  0  0  0   1  0  0  1  1  0  0 | 0  0  0  1  1 0  1 0
..x ... ...    ...     |  0  0  2 |  *  *  *  *  *   * 48  * |  0  0  0  0   0  0  0  2  0  2  0 | 0  0  0  1  0 0  2 1
... ..x ...    ...     |  0  0  2 |  *  *  *  *  *   *  * 96 |  0  0  0  1   0  0  0  0  1  1  1 | 0  0  1  0  1 0  1 1
-----------------------+----------+--------------------------+-----------------------------------+---------------------
... x..3o..    ...     |  3  0  0 |  3  0  0  0  0   0  0  0 | 32  *  *  *   *  *  *  *  *  *  * | 1  0  1  0  0 0  0 0
... x.. ... *b3o..     |  3  0  0 |  3  0  0  0  0   0  0  0 |  * 32  *  *   *  *  *  *  *  *  * | 1  1  0  0  0 0  0 0
... xx. ...    ...&#x  |  2  2  0 |  1  2  0  0  1   0  0  0 |  *  * 96  *   *  *  *  *  *  *  * | 0  1  0  0  1 0  0 0
... x.x ...    ...&#x  |  2  0  2 |  1  0  2  0  0   0  0  1 |  *  *  * 96   *  *  *  *  *  *  * | 0  0  1  0  1 0  0 0
ooo3ooo3ooo *b3ooo&#x  |  1  1  1 |  0  1  1  0  0   1  0  0 |  *  *  *  * 192  *  *  *  *  *  * | 0  0  0  1  1 0  0 0
.x.3.x. ...    ...     |  0  6  0 |  0  0  0  3  3   0  0  0 |  *  *  *  *   * 32  *  *  *  *  * | 0  0  0  0  0 1  1 0
... .x. ... *b3.o.     |  0  3  0 |  0  0  0  0  3   0  0  0 |  *  *  *  *   *  * 32  *  *  *  * | 0  1  0  0  0 1  0 0
.xx ... ...    ...&#x  |  0  2  2 |  0  0  0  1  0   2  1  0 |  *  *  *  *   *  *  * 96  *  *  * | 0  0  0  1  0 0  1 0
... .xx ...    ...&#x  |  0  2  2 |  0  0  0  0  1   2  0  1 |  *  *  *  *   *  *  *  * 96  *  * | 0  0  0  0  1 0  1 0
..x3..x ...    ...     |  0  0  6 |  0  0  0  0  0   0  3  3 |  *  *  *  *   *  *  *  *  * 32  * | 0  0  0  0  0 0  1 1
... ..x3..o    ...     |  0  0  3 |  0  0  0  0  0   0  0  3 |  *  *  *  *   *  *  *  *  *  * 32 | 0  0  1  0  0 0  0 1
-----------------------+----------+--------------------------+-----------------------------------+---------------------
... x..3o.. *b3o..       6  0  0 | 12  0  0  0  0   0  0  0 |  4  4  0  0   0  0  0  0  0  0  0 | 8  *  *  *  * *  * *
... xx. ... *b3oo.&#x    3  3  0 |  3  3  0  0  3   0  0  0 |  0  1  3  0   0  0  1  0  0  0  0 | * 32  *  *  * *  * *
... x.x3o.o    ...&#x    3  0  3 |  3  0  3  0  0   0  0  3 |  1  0  0  3   0  0  0  0  0  0  1 | *  * 32  *  * *  * *
wxx ... oqo    ooq&#zx   2  4  4 |  0  4  4  2  0   8  2  0 |  0  0  0  0   8  0  0  4  0  0  0 | *  *  * 24  * *  * *
... xxx ...    ...&#x    2  2  2 |  1  2  2  0  1   2  0  1 |  0  0  1  1   2  0  0  0  1  0  0 | *  *  *  * 96 *  * *
.x.3.x. ... *b3.o.       0 12  0 |  0  0  0  6 12   0  0  0 |  0  0  0  0   0  4  4  0  0  0  0 | *  *  *  *  * 8  * *
.xx3.xx ...    ...&#x    0  6  6 |  0  0  0  3  3   6  3  3 |  0  0  0  0   0  1  0  3  3  1  0 | *  *  *  *  * * 32 *
..x3..x3..o    ...       0  0 12 |  0  0  0  0  0   0  6 12 |  0  0  0  0   0  0  0  0  0  4  4 | *  *  *  *  * *  * 8

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