Acronym pextot
Name partially expanded truncated triacontaditeron
Circumradius ...
Lace city
in approx. ASCII-art 
       o3o4o  x3o4o  o3o4o       		-- x3o3o4o (hex)
                                 
                                 
                                 
o3o4o         u3o4o         o3o4o		-- u3o3o4o (u-hex)
                                 
                                 
                                 
x3o4o  u3o4o  x3x4o  u3o4o  x3o4o		-- x3x3o4o (thex)
                                 
                                 
                                 
                                 
                                 
x3o4o  u3o4o  x3x4o  u3o4o  x3o4o		-- x3x3o4o (thex)
                                 
                                 
                                 
o3o4o         u3o4o         o3o4o		-- u3o3o4o (u-hex)
                                 
                                 
                                 
       o3o4o  x3o4o  o3o4o       		-- x3o3o4o (hex)

  |      |      |      |      +-- wx ox3oo4oo&#zx (pex hex)
  |      |      |      +--------- Xx ou3oo4oo&#zu (pex hex variant)
  |      |      +---------------- Xwx xux3oox4ooo&#zxt (pex thex)
  |      +----------------------- Xx ou3oo4oo&#zu (pex hex variant)
  +------------------------------ wx ox3oo4oo&#zx (pex hex)
where:
X = w+q = x+2q, w = x+q, u=2x
Coordinates
  • (1/sqrt(2), 0, 0, 0; (1+2 sqrt(2))/2)     & all permutations within all but last coord, all changes of sign
  • (sqrt(2), 0, 0, 0; (1+sqrt(2))/2)           & all permutations within all but last coord, all changes of sign
  • (sqrt(2), 1/sqrt(2), 0, 0; 0)                 & all permutations within all but last coord, all changes of sign
Face vector 128, 448, 616, 352, 58
Confer
uniform relative:
tot   cappin   thexip  
general polytopal classes:
partial Stott expansions  

This CRF polyteron can be obtained from tot by partial Stott expansion only within axial direction. In fact it comes down to the insertion of its medial segment, the thexip.


Incidence matrix according to Dynkin symbol

Xwx xux3oox3ooo4ooo&#zxt

o.. o..3o..3o..4o..      | 16  *  * |  6  1  0  0  0   0 | 12  6   0  0  0  0   0 |  8 12   0  0  0  0 | 1  8 0  0
.o. .o.3.o.3.o.4.o.      |  * 16  * |  0  1  6  0  0   0 |  0  6  12  0  0  0   0 |  0 12   8  0  0  0 | 0  8 1  0
..o ..o3..o3..o4..o      |  *  * 96 |  0  0  1  1  1   4 |  0  1   4  1  4  4   4 |  0  4   4  4  4  4 | 0  4 1  4
-------------------------+----------+--------------------+------------------------+--------------------+----------
... x.. ... ... ...      |  2  0  0 | 48  *  *  *  *   * |  4  1   0  0  0  0   0 |  4  4   0  0  0  0 | 1  4 0  0
oo. oo.3oo.3oo.4oo.&#x   |  1  1  0 |  * 16  *  *  *   * |  0  6   0  0  0  0   0 |  0 12   0  0  0  0 | 0  8 0  0
.oo .oo3.oo3.oo4.oo&#x   |  0  1  1 |  *  * 96  *  *   * |  0  1   4  0  0  0   0 |  0  4   4  0  0  0 | 0  4 1  0
..x ... ... ... ...      |  0  0  2 |  *  *  * 48  *   * |  0  0   0  1  4  0   0 |  0  0   0  4  4  0 | 0  0 1  4
... ..x ... ... ...      |  0  0  2 |  *  *  *  * 48   * |  0  1   0  1  0  4   0 |  0  4   0  4  0  4 | 0  4 0  4
... ... ..x ... ...      |  0  0  2 |  *  *  *  *  * 192 |  0  0   1  0  1  1   2 |  0  1   2  1  2  2 | 0  2 1  2
-------------------------+----------+--------------------+------------------------+--------------------+----------
... x..3o.. ... ...      |  3  0  0 |  3  0  0  0  0   0 | 64  *   *  *  *  *   * |  2  1   0  0  0  0 | 1  2 0  0
... xux ... ... ...&#xt  |  2  2  2 |  1  2  2  0  1   0 |  * 48   *  *  *  *   * |  0  4   0  0  0  0 | 0  4 0  0
... ... .ox ... ...&#x   |  0  1  2 |  0  0  2  0  0   1 |  *  * 192  *  *  *   * |  0  1   2  0  0  0 | 0  2 1  0
..x ..x ... ... ...      |  0  0  4 |  0  0  0  2  2   0 |  *  *   * 24  *  *   * |  0  0   0  4  0  0 | 0  0 0  4
..x ... ..x ... ...      |  0  0  4 |  0  0  0  2  0   2 |  *  *   *  * 96  *   * |  0  0   0  1  2  0 | 0  0 1  2
... ..x3..x ... ...      |  0  0  6 |  0  0  0  0  3   3 |  *  *   *  *  * 64   * |  0  1   0  1  0  2 | 0  2 0  2
... ... ..x3..o ...      |  0  0  3 |  0  0  0  0  0   3 |  *  *   *  *  *  * 128 |  0  0   1  0  1  1 | 0  1 1  1
-------------------------+----------+--------------------+------------------------+--------------------+----------
... x..3o..3o.. ...      ♦  4  0  0 |  6  0  0  0  0   0 |  4  0   0  0  0  0   0 | 32  *   *  *  *  * | 1  1 0  0
... xux3oox ... ...&#xt  ♦  3  3  6 |  3  3  6  0  3   3 |  1  3   3  0  0  1   0 |  * 64   *  *  *  * | 0  2 0  0
... ... .ox3.oo ...&#x   ♦  0  1  3 |  0  0  3  0  0   3 |  0  0   3  0  0  0   1 |  *  * 128  *  *  * | 0  1 1  0
..x ..x3..x ... ...      ♦  0  0 12 |  0  0  0  6  6   6 |  0  0   0  3  3  2   0 |  *  *   * 32  *  * | 0  0 0  2
..x ... ..x3..o ...      ♦  0  0  6 |  0  0  0  3  0   6 |  0  0   0  0  3  0   2 |  *  *   *  * 64  * | 0  0 1  1
... ..x3..x3..o ...      ♦  0  0 12 |  0  0  0  0  6  12 |  0  0   0  0  0  4   4 |  *  *   *  *  * 32 | 0  1 0  1
-------------------------+----------+--------------------+------------------------+--------------------+----------
... x..3o..3o..4o..      ♦  8  0  0 | 24  0  0  0  0   0 | 32  0   0  0  0  0   0 | 16  0   0  0  0  0 | 2  * *  *
... xux3oox3ooo ...&#xt  ♦  4  4 12 |  6  4 12  0  6  12 |  4  6  12  0  0  4   4 |  1  4   4  0  0  1 | * 32 *  *
.wx ... .ox3.oo4.oo&#zx  ♦  0  2 12 |  0  0 12  6  0  24 |  0  0  24  0 12  0  16 |  0  0  16  0  8  0 | *  * 8  *
..x ..x3..x3..o ...      ♦  0  0 24 |  0  0  0 12 12  24 |  0  0   0  6 12  8   8 |  0  0   0  4  4  2 | *  * * 16

© 2004-2024
top of page