Acronym  thah 
TOCID symbol  TT 
Name 
tetrahemihexahedron, vertex figure of tho, triangular crossed cuploid 
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Circumradius  1/sqrt(2) = 0.707107 
Vertex figure  [3/2,4,3,4] 
Coordinates  (1/sqrt(2), 0, 0) & all permutations, all changes of sign 
General of army  oct 
Colonel of regiment  oct 
Dihedral angles 

Confer 

External links 
Thah is an edgefaceting of oct, in fact it uses triangles of it and all its equatorial squares.
Incidence matrix according to Dynkin symbol
hemi( x3/2o3x ) 6  4  2 2 ++ 2  12  1 1 ++ 3  3  4 * 4  4  * 3
reduced( xx3/2ox&#x , by {6/2} ) → height = sqrt(2/3) = 0.816497
{3/2}  pseudo {6/2}
o.3/2o.  3 *  2 2 0  1 2 1
.o3/2.o  * 3  0 2 2  0 2 2
+++
x. ..  2 0  3 * *  1 1 0
oo3/2oo&#x  1 1  * 6 *  0 1 1
.x .. & .. .x  0 2  * * 3  0 1 1 (those edges get identified)
+++
x.3/2o.  3 0  3 0 0  1 * *
xx ..&#x  2 2  1 2 1  * 3 *
.. ox&#x  1 2  0 2 1  * * 3
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