Acronym  ... 
Name  4thah (?) 
Circumradius  1/sqrt(2) = 0.707107 
Vertex figure  4[3/2,4,6/2,4]/0 
General of army  oct 
Colonel of regiment  oct 
Confer 

Looks like a compound of 4 tetrahemihexahedra (thah), and indeed vertices, edges, {4} all coincide by four, while {3} coincide by pairs with {6/2}.
Incidence matrix according to Dynkin symbol
β3/2β3x both( . . . )  24  1 2 1  1 1 2 +++ both( . . x )  2  12 * *  0 1 1 sefa( s3/2s . )  2  * 24 *  1 0 1 sefa( . β3x )  2  * * 12  0 1 1 +++ both( s3/2s . ) ♦ 3  0 3 0  8 * * . β3x ♦ 6  3 0 3  * 4 * sefa( β3/2β3x )  4  1 2 1  * * 12 starting figure: x3/2x3x
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