Acronym pex sart
Name partially expanded small rhombated triacontiditeron
Circumradius ...
Lace city
in approx. ASCII-art
       x3o4o  o3x4o  x3o4o       		-- o3x3o4o (ico)
                                 
                                 
                                 
x3o4o  u3o4o  x3x4o  u3o4o  x3o4o		-- x3x3o4o (thex)
                                 
                                 
                                 
o3x4o  x3x4o  x3o4q  x3x4o  o3x4o		-- x3o3x4o (rico)
                                 
                                 
                                 
                                 
                                 
o3x4o  x3x4o  x3o4q  x3x4o  o3x4o		-- x3o3x4o (rico)
                                 
                                 
                                 
x3o4o  u3o4o  x3x4o  u3o4o  x3o4o		-- x3x3o4o (thex)
                                 
                                 
                                 
       x3o4o  o3x4o  x3o4o       		-- o3x3o4o (ico)

  |      |      |      |      +-- pexic
  |      |      |      +--------- pex thex
  |      |      +---------------- pexrico
  |      +----------------------- pex thex
  +------------------------------ pexic
Coordinates
  • ((1+2 sqrt(2))/2; 1/sqrt(2), 1/sqrt(2), 0, 0)        & all permutations within all but first coords, all changes of sign
  • ((1+sqrt(2))/2; sqrt(2), 1/sqrt(2), 0, 0)              & all permutations within all but first coords, all changes of sign
  • (1/2; sqrt(2), 1/sqrt(2), 1/sqrt(2), 0)                 & all permutations within all but first coords, all changes of sign
Confer
uniform relative:
sart   carnit   ricope  
general polytopal classes:
partial Stott expansions  

This CRF polyteron can be obtained from sart by partial Stott expansion only within a single axial direction. In fact it justifyinserts a monostratic segment midwise, ricope.


Incidence matrix according to Dynkin symbol

Xwx oxx3xxo3oox4ooo&#zxt (where: X = w+q = x+2q)

o.. o..3o..3o..4o..     | 48  *   * |   8  2  0   0   0  0   0   0 |  4   8  1   8   0   0   0   0  0   0  0   0   0 |  4  2  4   8  0  0   0   0  0  0  0  0 | 1  4  2  0 0  0
.o. .o.3.o.3.o.4.o.     |  * 96   * |   0  1  1   4   4  0   0   0 |  0   0  1   4   4   4   4   4  0   0  0   0   0 |  0  0  4   4  1  1   4   4  0  0  0  0 | 0  4  1  1 1  0
..o ..o3..o3..o4..o     |  *  * 192 |   0  0  0   0   2  1   2   4 |  0   0  0   0   0   2   1   4  2   4  1   4   2 |  0  0  1   0  0  2   4   2  1  4  2  2 | 0  2  0  2 1  2
------------------------+-----------+------------------------------+-------------------------------------------------+----------------------------------------+----------------
... ... x.. ... ...     |  2  0   0 | 192  *  *   *   *  *   *   * |  1   2  0   1   0   0   0   0  0   0  0   0   0 |  2  1  1   2  0  0   0   0  0  0  0  0 | 1  2  1  0 0  0
oo. oo.3oo.3oo.4oo.&#x  |  1  1   0 |   * 96  *   *   *  *   *   * |  0   0  1   4   0   0   0   0  0   0  0   0   0 |  0  0  4   4  0  0   0   0  0  0  0  0 | 0  4  1  0 0  0
... .x. ... ... ...     |  0  2   0 |   *  * 48   *   *  *   *   * |  0   0  1   0   0   4   0   0  0   0  0   0   0 |  0  0  4   0  0  0   4   0  0  0  0  0 | 0  4  0  1 0  0
... ... .x. ... ...     |  0  2   0 |   *  *  * 192   *  *   *   * |  0   0  0   1   2   0   1   0  0   0  0   0   0 |  0  0  1   2  1  0   0   2  0  0  0  0 | 0  2  1  0 1  0
.oo .oo3.oo3.oo4.oo&#x  |  0  1   1 |   *  *  *   * 384  *   *   * |  0   0  0   0   0   1   1   2  0   0  0   0   0 |  0  0  1   0  0  1   2   2  0  0  0  0 | 0  2  0  1 1  0
..x ... ... ... ...     |  0  0   2 |   *  *  *   *   * 96   *   * |  0   0  0   0   0   0   0   0  2   4  0   0   0 |  0  0  0   0  0  2   0   0  1  4  2  0 | 0  0  0  2 1  2
... ..x ... ... ...     |  0  0   2 |   *  *  *   *   *  * 192   * |  0   0  0   0   0   1   0   0  1   0  1   2   0 |  0  0  1   0  0  0   2   0  1  2  0  2 | 0  2  0  1 0  2
... ... ... ..x ...     |  0  0   2 |   *  *  *   *   *  *   * 384 |  0   0  0   0   0   0   0   1  0   1  0   1   1 |  0  0  0   0  0  1   1   1  0  1  1  1 | 0  1  0  1 1  1
------------------------+-----------+------------------------------+-------------------------------------------------+----------------------------------------+----------------
... o..3x.. ... ...     |  3  0   0 |   3  0  0   0   0  0   0   0 | 64   *  *   *   *   *   *   *  *   *  *   *   * |  2  0  1   0  0  0   0   0  0  0  0  0 | 1  2  0  0 0  0
... ... x..3o.. ...     |  3  0   0 |   3  0  0   0   0  0   0   0 |  * 128  *   *   *   *   *   *  *   *  *   *   * |  1  1  0   1  0  0   0   0  0  0  0  0 | 1  1  1  0 0  0
... ox. ... ... ...&#x  |  1  2   0 |   0  2  1   0   0  0   0   0 |  *   * 48   *   *   *   *   *  *   *  *   *   * |  0  0  4   0  0  0   0   0  0  0  0  0 | 0  4  0  0 0  0
... ... xx. ... ...&#x  |  2  2   0 |   1  2  0   1   0  0   0   0 |  *   *  * 192   *   *   *   *  *   *  *   *   * |  0  0  1   2  0  0   0   0  0  0  0  0 | 0  2  1  0 0  0
... ... .x.3.o. ...     |  0  3   0 |   0  0  0   3   0  0   0   0 |  *   *  *   * 128   *   *   *  *   *  *   *   * |  0  0  0   1  1  0   0   1  0  0  0  0 | 0  1  1  0 1  0
... .xx ... ... ...&#x  |  0  2   2 |   0  0  1   0   2  0   1   0 |  *   *  *   *   * 192   *   *  *   *  *   *   * |  0  0  1   0  0  0   2   0  0  0  0  0 | 0  2  0  1 0  0
... ... .xo ... ...&#x  |  0  2   1 |   0  0  0   1   2  0   0   0 |  *   *  *   *   *   * 192   *  *   *  *   *   * |  0  0  1   0  0  0   0   2  0  0  0  0 | 0  2  0  0 1  0
... ... ... .ox ...&#x  |  0  1   2 |   0  0  0   0   2  0   0   1 |  *   *  *   *   *   *   * 384  *   *  *   *   * |  0  0  0   0  0  1   1   1  0  0  0  0 | 0  1  0  1 1  0
..x ..x ... ... ...     |  0  0   4 |   0  0  0   0   0  2   2   0 |  *   *  *   *   *   *   *   * 96   *  *   *   * |  0  0  0   0  0  0   0   0  1  2  0  0 | 0  0  0  1 0  2
..x ... ... ..x ...     |  0  0   4 |   0  0  0   0   0  2   0   2 |  *   *  *   *   *   *   *   *  * 192  *   *   * |  0  0  0   0  0  1   0   0  0  1  1  0 | 0  0  0  1 1  1
... ..x3..o ... ...     |  0  0   3 |   0  0  0   0   0  0   3   0 |  *   *  *   *   *   *   *   *  *   * 64   *   * |  0  0  1   0  0  0   0   0  1  0  0  2 | 0  2  0  0 0  2
... ..x ... ..x ...     |  0  0   4 |   0  0  0   0   0  0   2   2 |  *   *  *   *   *   *   *   *  *   *  * 192   * |  0  0  0   0  0  0   1   0  0  1  0  1 | 0  1  0  1 0  1
... ... ..o3..x ...     |  0  0   3 |   0  0  0   0   0  0   0   3 |  *   *  *   *   *   *   *   *  *   *  *   * 128 |  0  0  0   0  0  0   0   1  0  0  1  1 | 0  1  0  0 1  1
------------------------+-----------+------------------------------+-------------------------------------------------+----------------------------------------+----------------
... o..3x..3o.. ...       6  0   0 |  12  0  0   0   0  0   0   0 |  4   4  0   0   0   0   0   0  0   0  0   0   0 | 32  *  *   *  *  *   *   *  *  *  *  * | 1  1  0  0 0  0
... ... x..3o..4o..       6  0   0 |  12  0  0   0   0  0   0   0 |  0   8  0   0   0   0   0   0  0   0  0   0   0 |  * 16  *   *  *  *   *   *  *  *  *  * | 1  0  1  0 0  0
... oxx3xxo ... ...&#xt   3  6   3 |   3  6  3   3   6  0   3   0 |  1   0  3   3   0   3   3   0  0   0  1   0   0 |  *  * 64   *  *  *   *   *  *  *  *  * | 0  2  0  0 0  0
... ... xx.3oo. ...&#x    3  3   0 |   3  3  0   3   0  0   0   0 |  0   1  0   3   1   0   0   0  0   0  0   0   0 |  *  *  * 128  *  *   *   *  *  *  *  * | 0  1  1  0 0  0
... ... .x.3.o.4.o.       0  6   0 |   0  0  0  12   0  0   0   0 |  0   0  0   0   8   0   0   0  0   0  0   0   0 |  *  *  *   * 16  *   *   *  *  *  *  * | 0  0  1  0 1  0
.wx ... ... .ox4.oo&#zx   0  2   8 |   0  0  0   0   8  4   0   8 |  0   0  0   0   0   0   0   8  0   4  0   0   0 |  *  *  *   *  * 48   *   *  *  *  *  * | 0  0  0  1 1  0
... .xx ... .ox ...&#x    0  2   4 |   0  0  1   0   4  0   2   2 |  0   0  0   0   0   2   0   2  0   0  0   1   0 |  *  *  *   *  *  * 192   *  *  *  *  * | 0  1  0  1 0  0
... ... .xo3.ox ...&#x    0  3   3 |   0  0  0   3   6  0   0   3 |  0   0  0   0   1   0   3   3  0   0  0   0   1 |  *  *  *   *  *  *   * 128  *  *  *  * | 0  1  0  0 1  0
..x ..x3..o ... ...       0  0   6 |   0  0  0   0   0  3   6   0 |  0   0  0   0   0   0   0   0  3   0  2   0   0 |  *  *  *   *  *  *   *   * 32  *  *  * | 0  0  0  0 0  2
..x ..x ... ..x ...       0  0   8 |   0  0  0   0   0  4   4   4 |  0   0  0   0   0   0   0   0  2   2  0   2   0 |  *  *  *   *  *  *   *   *  * 96  *  * | 0  0  0  1 0  1
..x ... ..o3..x ...       0  0   6 |   0  0  0   0   0  3   0   6 |  0   0  0   0   0   0   0   0  0   3  0   0   2 |  *  *  *   *  *  *   *   *  *  * 64  * | 0  0  0  0 1  1
... ..x3..o3..x ...       0  0  12 |   0  0  0   0   0  0  12  12 |  0   0  0   0   0   0   0   0  0   0  4   6   4 |  *  *  *   *  *  *   *   *  *  *  * 32 | 0  1  0  0 0  1
------------------------+-----------+------------------------------+-------------------------------------------------+----------------------------------------+----------------
... o..3x..3o..4o..      24  0   0 |  96  0  0   0   0  0   0   0 | 32  64  0   0   0   0   0   0  0   0  0   0   0 | 16  8  0   0  0  0   0   0  0  0  0  0 | 2  *  *  * *  *
... oxx3xxo3oox ...&#xt   6 12  12 |  12 12  6  12  24  0  12  12 |  4   4  6  12   4  12  12  12  0   0  4   6   4 |  1  0  4   4  0  0   6   4  0  0  0  1 | * 32  *  * *  *
... ... xx.3oo.4oo.&#x    6  6   0 |  12  6  0  12   0  0   0   0 |  0   8  0  12   8   0   0   0  0   0  0   0   0 |  0  1  0   8  1  0   0   0  0  0  0  0 | *  * 16  * *  *
.wx .xx ... .ox4.oo&#zx   0  4  16 |   0  0  2   0  16  8   8  16 |  0   0  0   0   0   8   0  16  4   8  0   8   0 |  0  0  0   0  0  2   8   0  0  4  0  0 | *  *  * 24 *  *
.wx ... .xo3.ox4.oo&#zx   0 12  24 |   0  0  0  24  48 12   0  48 |  0   0  0   0  16   0  24  48  0  24  0   0  16 |  0  0  0   0  2  6   0  16  0  0  8  0 | *  *  *  * 8  *
..x ..x3..o3..x ...       0  0  24 |   0  0  0   0   0 12  24  24 |  0   0  0   0   0   0   0   0 12  12  8  12   8 |  0  0  0   0  0  0   0   0  4  6  4  2 | *  *  *  * * 16

© 2004-2022
top of page