Acronym  ... 
Name  2tho+24{4} (?) 
Circumradius  1/sqrt(2) = 0.707107 
Coordinates 

General of army  hex 
Colonel of regiment  hex 
Confer 

This Grünbaumian polychoron can be obtained constructively by adjoining 2 mutually inverted copies of 2thah, joined at their squares, and putting tet at all 8 triangles each, pointing all into the same 4th direction. The other 8 tet, adjoined to the 2nd 2thah, point into the opposite direction (thus becoming pointinverive too). The remaining 2thah finally are interlinked to the open tetrahedral faces.
Incidence matrix according to Dynkin symbol
x3o3/2x *b3o . . . .  32  3 3  3 3 3  3 1 1 ++++ x . . .  2  48 *  2 1 0  2 1 0 . . x .  2  * 48  0 1 2  2 0 1 ++++ x3o . .  3  3 0  32 * *  1 1 0 x . x .  4  2 2  * 24 *  2 0 0 . o3/2x .  3  0 3  * * 32  1 0 1 ++++ x3o3/2x . ♦ 12  12 12  4 6 4  8 * * x3o . *b3o ♦ 4  6 0  4 0 0  * 8 * . o3/2x *b3o ♦ 4  0 6  0 0 4  * * 8
x3o3/2x *b3/2o . . . .  32  3 3  3 3 3  3 1 1 ++++ x . . .  2  48 *  2 1 0  2 1 0 . . x .  2  * 48  0 1 2  2 0 1 ++++ x3o . .  3  3 0  32 * *  1 1 0 x . x .  4  2 2  * 24 *  2 0 0 . o3/2x .  3  0 3  * * 32  1 0 1 ++++ x3o3/2x . ♦ 12  12 12  4 6 4  8 * * x3o . *b3/2o ♦ 4  6 0  4 0 0  * 8 * . o3/2x *b3/2o ♦ 4  0 6  0 0 4  * * 8
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