Acronym ...
Name 2thox (?)
Circumradius 1/sqrt(2) = 0.707107
Coordinates (1/sqrt(2), 0, 0, 0, 0, 0)   & all permutations, all changes of sign
General of army gee
Colonel of regiment gee
Confer
non-Grünbaumian master:
thox  

This Grünbaumian polypeton indeed has all elements in coincident pairs, only the vertices and edges are identified; thus the vertex figure becomes a Grünbaumian double-cover of hehad, the edge figure becomes a Grünbaumian double-cover of tho, and the face figure becomes a Grünbaumian double-cover of thah.


Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3/2*c

. . . . . .      | 12  10 |  40 | 160 |  80  80 | 16 10 16
-----------------+----+----+-----+-----+---------+---------
x . . . . .      |  2 | 60    8 |  48 |  32  32 |  8  8  8
-----------------+----+----+-----+-----+---------+---------
x3o . . . .      |  3 |  3 | 160   12 |  12  12 |  4  6  4
-----------------+----+----+-----+-----+---------+---------
x3o3o . . .        4 |  6 |   4 | 480 |   2   2 |  1  2  1
-----------------+----+----+-----+-----+---------+---------
x3o3o3o . .        5 | 10 |  10 |   5 | 192   * |  1  1  0
x3o3o . . o3/2*c   5 | 10 |  10 |   5 |   * 192 |  0  1  1
-----------------+----+----+-----+-----+---------+---------
x3o3o3o3o .        6 | 15 |  20 |  15 |   6   0 | 32  *  *
x3o3o3o . o3/2*c  10 | 40 |  80 |  80 |  16  16 |  * 12  *
x3o3o . o3o3/2*c   6 | 15 |  20 |  15 |   0   6 |  *  * 32

x3o3o3o3o3/2o3*c

. . . . .   .    | 12  10 |  40 | 160 |  80  80 | 16 10 16
-----------------+----+----+-----+-----+---------+---------
x . . . .   .    |  2 | 60    8 |  48 |  32  32 |  8  8  8
-----------------+----+----+-----+-----+---------+---------
x3o . . .   .    |  3 |  3 | 160   12 |  12  12 |  4  6  4
-----------------+----+----+-----+-----+---------+---------
x3o3o . .   .      4 |  6 |   4 | 480 |   2   2 |  1  2  1
-----------------+----+----+-----+-----+---------+---------
x3o3o3o .   .      5 | 10 |  10 |   5 | 192   * |  1  1  0
x3o3o . .   o3*c   5 | 10 |  10 |   5 |   * 192 |  0  1  1
-----------------+----+----+-----+-----+---------+---------
x3o3o3o3o   .      6 | 15 |  20 |  15 |   6   0 | 32  *  *
x3o3o3o .   o3*c  10 | 40 |  80 |  80 |  16  16 |  * 12  *
x3o3o . o3/2o3*c   6 | 15 |  20 |  15 |   0   6 |  *  * 32

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