Acronym medrojak (alt.: tritith)
Name pentacontitetra-diminished rojak,
tri - (triangle,triangle,hexagon)-trioprism
Circumradius sqrt(5/3) = 1.290994
Lace city
in approx. ASCII-art
    o    		where:
o  + -  o		o = x3o o3x (triddip)
  -   +  		+ = o3x x3x (thiddip)
o  + -  o		- = x3x x3o (thiddip)
    o    
Face vector 162, 1134, 2754, 3078, 1638, 342
Confer
uniform relative:
rojak  
general polytopal classes:
scaliform  

Incidence matrix according to Dynkin symbol

oxx3xox xox3xxo xxo3oxx&#zx   → height = 0
(tegum sum of 3 cyclo-gyrated tithtips)

o..3o.. o..3o.. o..3o..     & | 162 |   4   2   8 |   2   4   4   4  12  12  16   4 |  2  2   4   8   4   8  12  12  10  12   4   8  20 |  4  4  1   6   8   8   6  12  10  16   8   9 |  2  6  2  4  4  14
------------------------------+-----+-------------+---------------------------------+---------------------------------------------------+----------------------------------------------+-------------------
... x.. ... ... ... ...     & |   2 | 324   *   * |   1   1   1   2   2   0   2   0 |  1  1   3   4   2   1   4   3   2   2   0   2   2 |  3  3  1   3   5   2   1   5   4   3   2   2 |  2  4  1  3  1   5
... ... x.. ... ... ...     & |   2 |   * 162   * |   0   2   2   0   0   4   4   0 |  1  1   0   4   0   2   2   4   4   6   2   4   4 |  2  2  0   2   2   4   3   6   5   6   2   4 |  1  3  1  2  2   7
oo.3oo. oo.3oo. oo.3oo.&#x  & |   2 |   *   * 648 |   0   0   0   0   2   2   2   1 |  0  0   0   0   1   2   2   2   2   2   1   1   6 |  0  0  0   2   2   2   2   2   2   6   3   3 |  0  2  1  1  2   6
------------------------------+-----+-------------+---------------------------------+---------------------------------------------------+----------------------------------------------+-------------------
o..3x.. ... ... ... ...     & |   3 |   3   0   0 | 108   *   *   *   *   *   *   * |  1  1   2   0   2   0   0   0   0   0   0   0   0 |  2  2  1   3   4   0   0   0   0   0   0   0 |  2  3  1  2  0   0
... x.. x.. ... ... ...     & |   4 |   2   2   0 |   * 162   *   *   *   *   *   * |  1  0   0   2   0   0   0   0   2   0   0   2   0 |  2  1  0   2   0   0   1   3   2   0   0   2 |  1  2  1  1  0   3
... x.. ... x.. ... ...     & |   4 |   2   2   0 |   *   * 162   *   *   *   *   * |  0  1   0   2   0   0   0   2   0   2   0   0   0 |  1  2  0   0   2   2   0   2   2   2   0   0 |  1  2  0  2  1   2
... x.. ... ... x.. ...     & |   4 |   4   0   0 |   *   *   * 162   *   *   *   * |  0  0   2   2   0   0   2   0   0   0   0   0   0 |  2  2  1   0   2   0   0   2   2   0   1   0 |  2  2  0  2  0   2
ox. ... ... ... ... ...&#x  & |   3 |   1   0   2 |   *   *   *   * 648   *   *   * |  0  0   0   0   1   1   1   1   1   0   0   0   1 |  0  0  0   2   2   1   1   1   1   2   1   1 |  0  2  1  1  1   3
... ... xo. ... ... ...&#x  & |   3 |   0   1   2 |   *   *   *   *   * 648   *   * |  0  0   0   0   0   1   0   0   1   1   1   0   1 |  0  0  0   1   0   1   2   0   1   2   1   1 |  0  1  1  0  1   3
... ... ... xx. ... ...&#x  & |   4 |   1   1   2 |   *   *   *   *   *   * 648   * |  0  0   0   0   0   0   1   1   0   1   0   1   1 |  0  0  0   0   1   1   0   2   1   2   1   1 |  0  1  0  1  1   3
ooo3ooo ooo3ooo ooo3ooo&#x    |   3 |   0   0   3 |   *   *   *   *   *   *   * 216 |  0  0   0   0   0   0   0   0   0   0   0   0   6 |  0  0  0   0   0   0   0   0   0   6   3   3 |  0  0  0  0  2   6
------------------------------+-----+-------------+---------------------------------+---------------------------------------------------+----------------------------------------------+-------------------
o..3x.. x.. ... ... ...     &    6 |   6   3   0 |   2   3   0   0   0   0   0   0 | 54  *   *   *   *   *   *   *   *   *   *   *   * |  2  0  0   2   0   0   0   0   0   0   0   0 |  1  2  1  0  0   0
o..3x.. ... x.. ... ...     &    6 |   6   3   0 |   2   0   3   0   0   0   0   0 |  * 54   *   *   *   *   *   *   *   *   *   *   * |  0  2  0   0   2   0   0   0   0   0   0   0 |  1  1  0  2  0   0
o..3x.. ... ... x.. ...     &    6 |   9   0   0 |   2   0   0   3   0   0   0   0 |  *  * 108   *   *   *   *   *   *   *   *   *   * |  1  1  1   0   1   0   0   0   0   0   0   0 |  2  1  0  1  0   0
... x.. x.. ... x.. ...     &    8 |   8   4   0 |   0   2   2   2   0   0   0   0 |  *  *   * 162   *   *   *   *   *   *   *   *   * |  1  1  0   0   0   0   0   1   1   0   0   0 |  1  1  0  1  0   1
ox.3xo. ... ... ... ...&#x  &    6 |   6   0   6 |   2   0   0   0   6   0   0   0 |  *  *   *   * 108   *   *   *   *   *   *   *   * |  0  0  0   2   2   0   0   0   0   0   0   0 |  0  2  1  1  0   0
ox. ... xo. ... ... ...&#x  &    4 |   1   1   4 |   0   0   0   0   2   2   0   0 |  *  *   *   *   * 324   *   *   *   *   *   *   * |  0  0  0   1   0   1   1   0   0   1   0   0 |  0  1  1  0  1   1
ox. ... ... xx. ... ...&#x  &    6 |   4   1   4 |   0   0   0   1   2   0   2   0 |  *  *   *   *   *   * 324   *   *   *   *   *   * |  0  0  0   0   1   0   0   1   1   0   1   0 |  0  1  0  1  0   2
ox. ... ... ... xx. ...&#x  &    6 |   3   2   4 |   0   0   1   0   2   0   2   0 |  *  *   *   *   *   *   * 324   *   *   *   *   * |  0  0  0   0   1   1   0   1   0   1   0   0 |  0  1  0  1  1   1
ox. ... ... ... ... ox.&#x  &    5 |   2   2   4 |   0   1   0   0   2   2   0   0 |  *  *   *   *   *   *   *   * 324   *   *   *   * |  0  0  0   1   0   0   1   0   1   0   0   1 |  0  1  1  0  0   2
... ... xo. ... xx. ...&#x  &    6 |   2   3   4 |   0   0   1   0   0   2   2   0 |  *  *   *   *   *   *   *   *   * 324   *   *   * |  0  0  0   0   0   1   0   0   1   1   0   0 |  0  1  0  0  1   1
... ... xo. ... ... ox.&#x  &    4 |   0   2   4 |   0   0   0   0   0   4   0   0 |  *  *   *   *   *   *   *   *   *   * 162   *   * |  0  0  0   0   0   0   2   0   0   0   1   0 |  0  0  1  0  0   2
... ... ... xx. xx. ...&#x  &    8 |   4   4   4 |   0   2   0   0   0   0   4   0 |  *  *   *   *   *   *   *   *   *   *   * 162   * |  0  0  0   0   0   0   0   2   0   0   0   1 |  0  0  0  1  0   2
oxx ... ... ... ... ...&#x  &    5 |   1   1   6 |   0   0   0   0   1   1   1   2 |  *  *   *   *   *   *   *   *   *   *   *   * 648 |  0  0  0   0   0   0   0   0   0   2   1   1 |  0  0  0  0  1   3
------------------------------+-----+-------------+---------------------------------+---------------------------------------------------+----------------------------------------------+-------------------
o..3x.. x.. ... x.. ...     &   12 |  18   6   0 |   4   6   3   6   0   0   0   0 |  2  0   2   3   0   0   0   0   0   0   0   0   0 | 54  *  *   *   *   *   *   *   *   *   *   * |  1  1  0  0  0   0
o..3x.. ... x.. x.. ...     &   12 |  18   6   0 |   4   3   6   6   0   0   0   0 |  0  2   2   3   0   0   0   0   0   0   0   0   0 |  * 54  *   *   *   *   *   *   *   *   *   * |  1  0  0  1  0   0
o..3x.. ... ... x..3o..     &    9 |  18   0   0 |   6   0   0   9   0   0   0   0 |  0  0   6   0   0   0   0   0   0   0   0   0   0 |  *  * 18   *   *   *   *   *   *   *   *   * |  2  0  0  0  0   0
ox.3xo. xo. ... ... ...&#x  &    9 |   9   3  12 |   3   3   0   0  12   6   0   0 |  1  0   0   0   2   3   0   0   3   0   0   0   0 |  *  *  * 108   *   *   *   *   *   *   *   * |  0  1  1  0  0   0
ox.3xo. ... xx. ... ...&#x  &   12 |  15   3  12 |   4   0   3   3  12   0   6   0 |  0  1   1   0   2   0   3   3   0   0   0   0   0 |  *  *  *   * 108   *   *   *   *   *   *   * |  0  1  0  1  0   0
ox. ... xo. ... xx. ...&#x  &    8 |   4   4   8 |   0   0   2   0   4   4   4   0 |  0  0   0   0   0   2   0   2   0   2   0   0   0 |  *  *  *   *   * 162   *   *   *   *   *   * |  0  1  0  0  1   0
ox. ... xo. ... ... ox.&#x  &    6 |   2   3   8 |   0   1   0   0   4   8   0   0 |  0  0   0   0   0   2   0   0   2   0   2   0   0 |  *  *  *   *   *   * 162   *   *   *   *   * |  0  0  1  0  0   1
ox. ... ... xx. xx. ...&#x  &   12 |  10   6   8 |   0   3   2   2   4   0   8   0 |  0  0   0   1   0   0   2   2   0   0   0   2   0 |  *  *  *   *   *   *   * 162   *   *   *   * |  0  0  0  1  0   1
ox. ... ... xx. ... ox.&#x  &   10 |   8   5   8 |   0   2   2   2   4   4   4   0 |  0  0   0   1   0   0   2   0   2   2   0   0   0 |  *  *  *   *   *   *   *   * 162   *   *   * |  0  1  0  0  0   1
oxx ... xox ... ... ...&#x  &    8 |   3   3  12 |   0   0   1   0   4   4   4   4 |  0  0   0   0   0   1   0   1   0   1   0   0   4 |  *  *  *   *   *   *   *   *   * 324   *   * |  0  0  0  0  1   1
oxx ... ... xxo ... ...&#x  &    8 |   4   2  12 |   0   0   0   1   4   4   4   4 |  0  0   0   0   0   0   2   0   0   0   1   0   4 |  *  *  *   *   *   *   *   *   *   * 162   * |  0  0  0  0  0   2
oxx ... ... ... ... oxx&#x  &    9 |   4   4  12 |   0   2   0   0   4   4   4   4 |  0  0   0   0   0   0   0   0   2   0   0   1   4 |  *  *  *   *   *   *   *   *   *   *   * 162 |  0  0  0  0  0   2
------------------------------+-----+-------------+---------------------------------+---------------------------------------------------+----------------------------------------------+-------------------
o..3x.. x.. ... x..3o..     &   18 |  36   9   0 |  12   9   9  18   0   0   0   0 |  3  3  12   9   0   0   0   0   0   0   0   0   0 |  3  3  2   0   0   0   0   0   0   0   0   0 | 18  *  *  *  *   *
ox.3xo. xo. ... xx. ...&#x  &   18 |  24   9  24 |   6   6   6   6  24  12  12   0 |  2  1   2   3   4   6   6   6   6   6   0   0   0 |  1  0  0   2   2   3   0   0   3   0   0   0 |  * 54  *  *  *   *
ox.3xo. xo. ... ... ox.&#x  &   12 |  12   6  24 |   4   6   0   0  24  24   0   0 |  2  0   0   0   4  12   0   0  12   0   6   0   0 |  0  0  0   4   0   0   6   0   0   0   0   0 |  *  * 27  *  *   *
ox.3xo. ... xx. xx. ...&#x  &   24 |  36  12  24 |   8   6  12  12  24   0  24   0 |  0  4   4   6   4   0  12  12   0   0   0   6   0 |  0  2  0   0   4   0   0   6   0   0   0   0 |  *  *  * 27  *   *
oxx ... xox ... xxo ...&#x  &   12 |   6   6  24 |   0   0   3   0  12  12  12   8 |  0  0   0   0   0   6   0   6   0   6   0   0  12 |  0  0  0   0   0   3   0   0   0   6   0   0 |  *  *  *  * 54   *
oxx ... xox ... ... oxx&#x  &   14 |  10   7  24 |   0   3   2   2  12  12  12   8 |  0  0   0   1   0   2   4   2   4   2   2   2  12 |  0  0  0   0   0   0   1   1   1   2   2   2 |  *  *  *  *  * 162

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