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

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


Incidence matrix according to Dynkin symbol

x3o3o3o3o3o3o3/2*d

. . . . . . .      | 14  12 |  60 | 160 |  480 | 192 192 | 32 12 32
-------------------+----+----+-----+-----+------+---------+---------
x . . . . . .      |  2 | 84   10 |  40 |  160 |  80  80 | 16 10 16
-------------------+----+----+-----+-----+------+---------+---------
x3o . . . . .      |  3 |  3 | 280    8 |   48 |  32  32 |  8  8  8
-------------------+----+----+-----+-----+------+---------+---------
x3o3o . . . .        4 |  6 |   4 | 560    12 |  12  12 |  4  6  4
-------------------+----+----+-----+-----+------+---------+---------
x3o3o3o . . .        5 | 10 |  10 |   5 | 1344 |   2   2 |  1  2  1
-------------------+----+----+-----+-----+------+---------+---------
x3o3o3o3o . .        6 | 15 |  20 |  15 |    6 | 448   * |  1  1  0
x3o3o3o . . o3/2*d   6 | 15 |  20 |  15 |    6 |   * 448 |  0  1  1
-------------------+----+----+-----+-----+------+---------+---------
x3o3o3o3o3o .        7 | 21 |  35 |  35 |   21 |   7   0 | 64  *  *
x3o3o3o3o . o3/2*d  12 | 60 | 160 | 240 |  192 |  32  32 |  * 14  *
x3o3o3o . o3o3/2*d   7 | 21 |  35 |  35 |   21 |   0   7 |  *  * 64

x3o3o3o3o3o3/2o3*d

. . . . . .   .    | 14  12 |  60 | 160 |  480 | 192 192 | 32 12 32
-------------------+----+----+-----+-----+------+---------+---------
x . . . . .   .    |  2 | 84   10 |  40 |  160 |  80  80 | 16 10 16
-------------------+----+----+-----+-----+------+---------+---------
x3o . . . .   .    |  3 |  3 | 280    8 |   48 |  32  32 |  8  8  8
-------------------+----+----+-----+-----+------+---------+---------
x3o3o . . .   .      4 |  6 |   4 | 560    12 |  12  12 |  4  6  4
-------------------+----+----+-----+-----+------+---------+---------
x3o3o3o . .   .      5 | 10 |  10 |   5 | 1344 |   2   2 |  1  2  1
-------------------+----+----+-----+-----+------+---------+---------
x3o3o3o3o .   .      6 | 15 |  20 |  15 |    6 | 448   * |  1  1  0
x3o3o3o . .   o3*d   6 | 15 |  20 |  15 |    6 |   * 448 |  0  1  1
-------------------+----+----+-----+-----+------+---------+---------
x3o3o3o3o3o   .      7 | 21 |  35 |  35 |   21 |   7   0 | 64  *  *
x3o3o3o3o .   o3*d  12 | 60 | 160 | 240 |  192 |  32  32 |  * 14  *
x3o3o3o . o3/2o3*d   7 | 21 |  35 |  35 |   21 |   0   7 |  *  * 64

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