Acronym ...
Name 2firx (?)
Circumradius sqrt(2/3) = 0.816497
General of army rix
Colonel of regiment rix
Confer
non-Grünbaumian relatives:
firx  
general polytopal classes:
Wythoffian polytera  

This Grünbaumian polyteron indeed has all elements in coincident pairs.


Incidence matrix according to Dynkin symbol

x3o3o3o3/2x

. . . .   . | 30 |  4  4 |  6 12  6 |  4 12 12  4 | 1  4  6  4 1
------------+----+-------+----------+-------------+-------------
x . . .   . |  2 | 60  * |  3  3  0 |  3  6  3  0 | 1  3  3  1 0
. . . .   x |  2 |  * 60 |  0  3  3 |  0  3  6  3 | 0  1  3  3 1
------------+----+-------+----------+-------------+-------------
x3o . .   . |  3 |  3  0 | 60  *  * |  2  2  0  0 | 1  2  1  0 0
x . . .   x |  4 |  2  2 |  * 90  * |  0  2  2  0 | 0  1  2  1 0
. . . o3/2x |  3 |  0  3 |  *  * 60 |  0  0  2  2 | 0  0  1  2 1
------------+----+-------+----------+-------------+-------------
x3o3o .   .   4 |  6  0 |  4  0  0 | 30  *  *  * | 1  1  0  0 0
x3o . .   x   6 |  6  3 |  2  3  0 |  * 60  *  * | 0  1  1  0 0
x . . o3/2x   6 |  3  6 |  0  3  2 |  *  * 60  * | 0  0  1  1 0
. . o3o3/2x   4 |  0  6 |  0  0  4 |  *  *  * 30 | 0  0  0  1 1
------------+----+-------+----------+-------------+-------------
x3o3o3o   .   5 | 10  0 | 10  0  0 |  5  0  0  0 | 6  *  *  * *
x3o3o .   x   8 | 12  4 |  8  6  0 |  2  4  0  0 | * 15  *  * *
x3o . o3/2x   9 |  9  9 |  3  9  3 |  0  3  3  0 | *  * 20  * *
x . o3o3/2x   8 |  4 12 |  0  6  8 |  0  0  4  2 | *  *  * 15 *
. o3o3o3/2x   5 |  0 10 |  0  0 10 |  0  0  0  5 | *  *  *  * 6

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