Acronym ...
Name Grünbaumian xux3xoo5/2xo(-x)&#xt
Circumradius sqrt[4-sqrt(5)] = 1.328131
Face vector 192, 480, 364, 76
Confer
non-Grünbaumian master:
reduced( xux3xoo5/2xo(-x)&#xt, by 2peppy )  

Incidence matrix according to Dynkin symbol

xux3xoo5/2xo(-x)&#xt   → both heights = 1/2

o..3o..5/2o.  .      | 120  *  * |  1  1  1   1  0  0  0 |  1  1  1  1  1  1  0  0  0  0 | 1  1  1  1  0 0  (coincide pairwise)
.o.3.o.5/2.o  .      |   * 12  * |  0  0  0  10  5  0  0 |  0  0  0 10  5  5  5  0  0  0 | 0  5  5  1  1 0
..o3..o5/2..  o      |   *  * 60 |  0  0  0   0  1  2  2 |  0  0  0  2  0  0  2  1  2  1 | 0  1  2  0  1 1
---------------------+-----------+-----------------------+-------------------------------+----------------
x.. ...   ..  .      |   2  0  0 | 60  *  *   *  *  *  * |  1  1  0  1  0  0  0  0  0  0 | 1  1  1  0  0 0
... x..   ..  .      |   2  0  0 |  * 60  *   *  *  *  * |  1  0  1  0  1  0  0  0  0  0 | 1  1  0  1  0 0  (coincides with following)
... ...   x.  .      |   2  0  0 |  *  * 60   *  *  *  * |  0  1  1  0  0  1  0  0  0  0 | 1  0  1  1  0 0  (coincides with previous)
oo.3oo.5/2oo  . &#x  |   1  1  0 |  *  *  * 120  *  *  * |  0  0  0  1  1  1  0  0  0  0 | 0  1  1  1  0 0  (coincide pairwise)
.oo3.oo5/2.o  o &#x  |   0  1  1 |  *  *  *   * 60  *  * |  0  0  0  2  0  0  2  0  0  0 | 0  1  2  0  1 0
..x ...   ..  .      |   0  0  2 |  *  *  *   *  * 60  * |  0  0  0  1  0  0  0  1  1  0 | 0  1  1  0  0 1
... ...   ..(-x)     |   0  0  2 |  *  *  *   *  *  * 60 |  0  0  0  0  0  0  1  0  1  1 | 0  0  1  0  1 1
---------------------+-----------+-----------------------+-------------------------------+----------------
x..3x..   ..  .      |   6  0  0 |  3  3  0   0  0  0  0 | 20  *  *  *  *  *  *  *  *  * | 1  1  0  0  0 0
x.. ...   x.  .      |   4  0  0 |  2  0  2   0  0  0  0 |  * 30  *  *  *  *  *  *  *  * | 1  0  1  0  0 0
... x..5/2x.  .      |  10  0  0 |  0  5  5   0  0  0  0 |  *  * 12  *  *  *  *  *  *  * | 1  0  0  1  0 0  2{5}
xux ...   ..  . &#xt |   2  2  2 |  1  0  0   2  2  1  0 |  *  *  * 60  *  *  *  *  *  * | 0  1  1  0  0 0
... xo.   ..  . &#x  |   2  1  0 |  0  1  0   2  0  0  0 |  *  *  *  * 60  *  *  *  *  * | 0  1  0  1  0 0  (coincides with following)
... ...   xo  . &#x  |   2  1  0 |  0  0  1   2  0  0  0 |  *  *  *  *  * 60  *  *  *  * | 0  0  1  1  0 0  (coincides with previous)
... ...   .o(-x)&#x  |   0  1  2 |  0  0  0   0  2  0  1 |  *  *  *  *  *  * 60  *  *  * | 0  0  1  0  1 0
..x3..o   ..  .      |   0  0  3 |  0  0  0   0  0  3  0 |  *  *  *  *  *  *  * 20  *  * | 0  1  0  0  0 1
..x ...   ..(-x)     |   0  0  4 |  0  0  0   0  0  2  2 |  *  *  *  *  *  *  *  * 30  * | 0  0  1  0  0 1
... ..o5/2..(-x)     |   0  0  5 |  0  0  0   0  0  0  5 |  *  *  *  *  *  *  *  *  * 12 | 0  0  0  0  1 1  {5/2}
---------------------+-----------+-----------------------+-------------------------------+----------------
x..3x..5/2x.  .      | 120  0  0 | 60 60 60   0  0  0  0 | 20 30 12  0  0  0  0  0  0  0 | 1  *  *  *  * *  ri+12{10/2}
xux3xoo   ..  . &#xt |   6  3  3 |  3  3  0   6  3  3  0 |  1  0  0  3  3  0  0  1  0  0 | * 20  *  *  * *  tut
xux ...   xo(-x)&#xt |   4  2  4 |  2  0  2   4  4  2  2 |  0  1  0  2  0  2  2  0  1  0 | *  * 30  *  * *  ebot
... xo.5/2xo  . &#xt |  10  1  0 |  0  5  5  10  0  0  0 |  0  0  1  0  5  5  0  0  0  0 | *  *  * 12  * *  2{5}-py
... .oo5/2.o(-x)&#xt |   0  1  5 |  0  0  0   0  5  0  5 |  0  0  0  0  0  0  5  0  0  1 | *  *  *  * 12 *  stappy
..x3..o5/2..(-x)     |   0  0 60 |  0  0  0   0  0 60 60 |  0  0  0  0  0  0  0 20 30 12 | *  *  *  *  * 1  qrid

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