Acronym poc prico   (alt.: phex spic)
Name partially octa-contracted prismatorhombated icositetrachoron,
partially hexadeca-expanded small prismated (dis)icositetrachoron
Circumradius ...
Dihedral angles
  • at {4} between hip and trip:   arccos[-sqrt(8)/3] = 160.528779°
  • at {4} between trip and trip:   arccos[-sqrt(8)/3] = 160.528779°
  • at {6} between hip and toe:   150°
  • at {6} between hip and tut:   150°
  • at {3} between squobcu and trip:   150°
  • at {3} between trip and tut:   150°
  • at {4} between hip and squobcu:   arccos[-sqrt(2/3)] = 144.735610°
  • at {4} between squobcu and toe:   135°
Face vector 384, 1056, 912, 240
Confer
uniform relative:
prico   spic   grit  
related CRFs:
owau prit  
general polytopal classes:
partial Stott expansions  

This CRF polychoron can be obtained from prico by partial Stott contracting only 8 toes.

Conversely it can be obtained by a similar partial Stott expansion from owau prit (which in turn is derived by such a expansion from spic).


Incidence matrix according to Dynkin symbol

((qo3xx3xx4ox))&#zx   → height = 0
(tegum sum of (q,x,x)-tico and grit)

  o.3o.3o.4o.       | 192   * |  1   2   2   0  0  0 |  2  1   2   2   1  0  0  0 | 1  1  2  1  0  0
  .o3.o3.o4.o       |   * 192 |  0   0   2   2  1  1 |  0  0   2   2   2  1  2  2 | 0  1  2  2  1  1
--------------------+---------+----------------------+----------------------------+-----------------
  .. x. .. ..       |   2   0 | 96   *   *   *  *  * |  2  0   2   0   0  0  0  0 | 1  0  2  1  0  0
  .. .. x. ..       |   2   0 |  * 192   *   *  *  * |  1  1   0   1   0  0  0  0 | 1  1  1  0  0  0
  oo3oo3oo4oo  &#x  |   1   1 |  *   * 384   *  *  * |  0  0   1   1   1  0  0  0 | 0  1  1  1  0  0
  .. .x .. ..       |   0   2 |  *   *   * 192  *  * |  0  0   1   0   0  1  1  1 | 0  0  1  1  1  1
  .. .. .x ..       |   0   2 |  *   *   *   * 96  * |  0  0   0   2   0  0  2  0 | 0  1  2  0  1  0
  .. .. .. .x       |   0   2 |  *   *   *   *  * 96 |  0  0   0   0   2  0  0  2 | 0  1  0  2  0  1
--------------------+---------+----------------------+----------------------------+-----------------
  .. x.3x. ..       |   6   0 |  3   3   0   0  0  0 | 64  *   *   *   *  *  *  * | 1  0  1  0  0  0
  .. .. x.4o.       |   4   0 |  0   4   0   0  0  0 |  * 48   *   *   *  *  *  * | 1  1  0  0  0  0
  .. xx .. ..  &#x  |   2   2 |  1   0   2   1  0  0 |  *  * 192   *   *  *  *  * | 0  0  1  1  0  0
  .. .. xx ..  &#x  |   2   2 |  0   1   2   0  1  0 |  *  *   * 192   *  *  *  * | 0  1  1  0  0  0
  .. .. .. ox  &#x  |   1   2 |  0   0   2   0  0  1 |  *  *   *   * 192  *  *  * | 0  1  0  1  0  0
  .o3.x .. ..       |   0   3 |  0   0   0   3  0  0 |  *  *   *   *   * 64  *  * | 0  0  0  0  1  1
  .. .x3.x ..       |   0   6 |  0   0   0   3  3  0 |  *  *   *   *   *  * 64  * | 0  0  1  0  1  0
  .. .x .. .x       |   0   4 |  0   0   0   2  0  2 |  *  *   *   *   *  *  * 96 | 0  0  0  1  0  1
--------------------+---------+----------------------+----------------------------+-----------------
  .. x.3x.4o.       ♦  24   0 | 12  24   0   0  0  0 |  8  6   0   0   0  0  0  0 | 8  *  *  *  *  *
((qo .. xx4ox))&#zx ♦   8   8 |  0   8  16   0  4  4 |  0  2   0   8   8  0  0  0 | * 24  *  *  *  *
  .. xx3xx ..  &#x  ♦   6   6 |  3   3   6   3  3  0 |  1  0   3   3   0  0  1  0 | *  * 64  *  *  *
  .. xx .. ox  &#x  ♦   2   4 |  1   0   4   2  0  2 |  0  0   2   0   2  0  0  1 | *  *  * 96  *  *
  .o3.x3.x ..       ♦   0  12 |  0   0   0  12  6  0 |  0  0   0   0   0  4  4  0 | *  *  *  * 16  *
  .o3.x .. .x       ♦   0   6 |  0   0   0   6  0  3 |  0  0   0   0   0  2  0  3 | *  *  *  *  * 32


((wxx3xxx3xwx *b3ooq))&#zx   → height = 0
(tegum sum of 2 mutually gyrated (w,x,x)-tahs and (x,x,x,q)-tico)

  o..3o..3o.. *b3o..       | 96  *   * |  2  1  1   2  0  0   0  0  0  0 |  2  1  2  2  2   2  0  0  0  0  0  0  0 | 1  1  2  1  2 0  0 0
  .o.3.o.3.o. *b3.o.       |  * 96   * |  0  0  1   0  1  2   2  0  0  0 |  0  0  2  0  0   2  2  1  2  2  0  0  0 | 0  1  0  1  2 1  2 0
  ..o3..o3..o *b3..o       |  *  * 192 |  0  0  0   1  0  0   1  1  1  1 |  0  0  0  1  1   1  0  0  1  1  1  1  1 | 0  0  1  1  1 0  1 1
---------------------------+-----------+---------------------------------+-----------------------------------------+---------------------
  ... x.. ...    ...       |  2  0   0 | 96  *  *   *  *  *   *  *  *  * |  1  1  1  1  0   0  0  0  0  0  0  0  0 | 1  1  1  0  1 0  0 0
  ... ... x..    ...       |  2  0   0 |  * 48  *   *  *  *   *  *  *  * |  2  0  0  0  2   0  0  0  0  0  0  0  0 | 1  0  2  1  0 0  0 0
  oo.3oo.3oo. *b3oo.  &#x  |  1  1   0 |  *  * 96   *  *  *   *  *  *  * |  0  0  2  0  0   2  0  0  0  0  0  0  0 | 0  1  0  1  2 0  0 0
  o.o3o.o3o.o *b3o.o  &#x  |  1  0   1 |  *  *  * 192  *  *   *  *  *  * |  0  0  0  1  1   1  0  0  0  0  0  0  0 | 0  0  1  1  1 0  0 0
  .x. ... ...    ...       |  0  2   0 |  *  *  *   * 48  *   *  *  *  * |  0  0  0  0  0   0  2  0  2  0  0  0  0 | 0  0  0  1  0 1  2 0
  ... .x. ...    ...       |  0  2   0 |  *  *  *   *  * 96   *  *  *  * |  0  0  1  0  0   0  1  1  0  1  0  0  0 | 0  1  0  0  1 1  1 0
  .oo3.oo3.oo *b3.oo  &#x  |  0  1   1 |  *  *  *   *  *  * 192  *  *  * |  0  0  0  0  0   1  0  0  1  1  0  0  0 | 0  0  0  1  1 0  1 0
  ..x ... ...    ...       |  0  0   2 |  *  *  *   *  *  *   * 96  *  * |  0  0  0  0  0   0  0  0  1  0  1  1  0 | 0  0  0  1  0 0  1 1
  ... ..x ...    ...       |  0  0   2 |  *  *  *   *  *  *   *  * 96  * |  0  0  0  1  0   0  0  0  0  1  1  0  1 | 0  0  1  0  1 0  1 1
  ... ... ..x    ...       |  0  0   2 |  *  *  *   *  *  *   *  *  * 96 |  0  0  0  0  1   0  0  0  0  0  0  1  1 | 0  0  1  1  0 0  0 1
---------------------------+-----------+---------------------------------+-----------------------------------------+---------------------
  ... x..3x..    ...       |  6  0   0 |  3  3  0   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  0  0 |  * 32  *  *  *   *  *  *  *  *  *  *  * | 1  1  0  0  0 0  0 0
  ... xx. ...    ...  &#x  |  2  2   0 |  1  0  2   0  0  1   0  0  0  0 |  *  * 96  *  *   *  *  *  *  *  *  *  * | 0  1  0  0  1 0  0 0
  ... x.x ...    ...  &#x  |  2  0   2 |  1  0  0   2  0  0   0  0  1  0 |  *  *  * 96  *   *  *  *  *  *  *  *  * | 0  0  1  0  1 0  0 0
  ... ... x.x    ...  &#x  |  2  0   2 |  0  1  0   2  0  0   0  0  0  1 |  *  *  *  * 96   *  *  *  *  *  *  *  * | 0  0  1  1  0 0  0 0
  ooo3ooo3ooo *b3ooo  &#x  |  1  1   1 |  0  0  1   1  0  0   1  0  0  0 |  *  *  *  *  * 192  *  *  *  *  *  *  * | 0  0  0  1  1 0  0 0
  .x.3.x. ...    ...       |  0  6   0 |  0  0  0   0  3  3   0  0  0  0 |  *  *  *  *  *   * 32  *  *  *  *  *  * | 0  0  0  0  0 1  1 0
  ... .x. ... *b3.o.       |  0  3   0 |  0  0  0   0  0  3   0  0  0  0 |  *  *  *  *  *   *  * 32  *  *  *  *  * | 0  1  0  0  0 1  0 0
  .xx ... ...    ...  &#x  |  0  2   2 |  0  0  0   0  1  0   2  1  0  0 |  *  *  *  *  *   *  *  * 96  *  *  *  * | 0  0  0  1  0 0  1 0
  ... .xx ...    ...  &#x  |  0  2   2 |  0  0  0   0  0  1   2  0  1  0 |  *  *  *  *  *   *  *  *  * 96  *  *  * | 0  0  0  0  1 0  1 0
  ..x3..x ...    ...       |  0  0   6 |  0  0  0   0  0  0   0  3  3  0 |  *  *  *  *  *   *  *  *  *  * 32  *  * | 0  0  0  0  0 0  1 1
  ..x ... ..x    ...       |  0  0   4 |  0  0  0   0  0  0   0  2  0  2 |  *  *  *  *  *   *  *  *  *  *  * 48  * | 0  0  0  1  0 0  0 1
  ... ..x3..x    ...       |  0  0   6 |  0  0  0   0  0  0   0  0  3  3 |  *  *  *  *  *   *  *  *  *  *  *  * 32 | 0  0  1  0  0 0  0 1
---------------------------+-----------+---------------------------------+-----------------------------------------+---------------------
  ... x..3x.. *b3o..       ♦ 12  0   0 | 12  6  0   0  0  0   0  0  0  0 |  4  4  0  0  0   0  0  0  0  0  0  0  0 | 8  *  *  *  * *  * *
  ... xx. ... *b3oo.  &#x  ♦  3  3   0 |  3  0  3   0  0  3   0  0  0  0 |  0  1  3  0  0   0  0  1  0  0  0  0  0 | * 32  *  *  * *  * *
  ... x.x3x.x    ...  &#x  ♦  6  0   6 |  3  3  0   6  0  0   0  0  3  3 |  1  0  0  3  3   0  0  0  0  0  0  0  1 | *  * 32  *  * *  * *
((wxx ... xwx    ooq))&#zx ♦  4  4   8 |  0  2  4   8  2  0   8  4  0  4 |  0  0  0  0  4   8  0  0  4  0  0  2  0 | *  *  * 24  * *  * *
  ... xxx ...    ...  &#x  ♦  2  2   2 |  1  0  2   2  0  1   2  0  1  0 |  0  0  1  1  0   2  0  0  0  1  0  0  0 | *  *  *  * 96 *  * *
  .x.3.x. ... *b3.o.       ♦  0 12   0 |  0  0  0   0  6 12   0  0  0  0 |  0  0  0  0  0   0  4  4  0  0  0  0  0 | *  *  *  *  * 8  * *
  .xx3.xx ...    ...  &#x  ♦  0  6   6 |  0  0  0   0  3  3   6  3  3  0 |  0  0  0  0  0   0  1  0  3  3  1  0  0 | *  *  *  *  * * 32 *
  ..x3..x3..x    ...       ♦  0  0  24 |  0  0  0   0  0  0   0 12 12 12 |  0  0  0  0  0   0  0  0  0  0  4  6  4 | *  *  *  *  * *  * 8

© 2004-2026
top of page