Acronym ...
Name 2tho (?)
Circumradius 1/sqrt(2) = 0.707107
General of army hex
Colonel of regiment hex
Confer
non-Grünbaumian master:
tho  
Grünbaumian relatives:
2tho+24{4}  

This Grünbaumian polychoron indeed has all elements in coincident pairs, only the vertices are identified; thus the vertex figure becomes a Grünbaumian double-cover of thah.


Incidence matrix according to Dynkin symbol

x3o3o3o3/2*a

. . . .      | 8  12 | 12 12 | 4 6 4
-------------+---+----+-------+------
x . . .      | 2 | 48 |  2  2 | 1 2 1
-------------+---+----+-------+------
x3o . .      | 3 |  3 | 32  * | 1 1 0
x . . o3/2*a | 3 |  3 |  * 32 | 0 1 1
-------------+---+----+-------+------
x3o3o .       4 |  6 |  4  0 | 8 * *
x3o . o3/2*a  6 | 12 |  4  4 | * 8 *
x . o3o3/2*a  4 |  6 |  0  4 | * * 8

x3o3o3/2o3*a

. . .   .    | 8  12 | 12 12 | 4 6 4
-------------+---+----+-------+------
x . .   .    | 2 | 48 |  2  2 | 1 2 1
-------------+---+----+-------+------
x3o .   .    | 3 |  3 | 32  * | 1 1 0
x . .   o3*a | 3 |  3 |  * 32 | 0 1 1
-------------+---+----+-------+------
x3o3o   .     4 |  6 |  4  0 | 8 * *
x3o .   o3*a  6 | 12 |  4  4 | * 8 *
x . o3/2o3*a  4 |  6 |  0  4 | * * 8

x3o3/2o3/2o3/2*a

. .   .   .      | 8  12 | 12 12 | 4 6 4
-----------------+---+----+-------+------
x .   .   .      | 2 | 48 |  2  2 | 1 2 1
-----------------+---+----+-------+------
x3o   .   .      | 3 |  3 | 32  * | 1 1 0
x .   .   o3/2*a | 3 |  3 |  * 32 | 0 1 1
-----------------+---+----+-------+------
x3o3/2o   .       4 |  6 |  4  0 | 8 * *
x3o   .   o3/2*a  6 | 12 |  4  4 | * 8 *
x .   o3/2o3/2*a  4 |  6 |  0  4 | * * 8

x3/2o3o3/2o3/2*a

.   . .   .      | 8  12 | 12 12 | 4 6 4
-----------------+---+----+-------+------
x   . .   .      | 2 | 48 |  2  2 | 1 2 1
-----------------+---+----+-------+------
x3/2o .   .      | 3 |  3 | 32  * | 1 1 0
x   . .   o3/2*a | 3 |  3 |  * 32 | 0 1 1
-----------------+---+----+-------+------
x3/2o3o   .       4 |  6 |  4  0 | 8 * *
x3/2o .   o3/2*a  6 | 12 |  4  4 | * 8 *
x   . o3/2o3/2*a  4 |  6 |  0  4 | * * 8

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