Acronym  ratricu 
Name 
retrograde trigonal cupola, 3/2cupola 
Circumradius  1/sqrt(2) = 0.707107 
Vertex figure  [3/2,4,3,4] + [3,4,6/2] 
General of army  oct 
Colonel of regiment  oct 
Confer 

The corresponding 3/2cuploid, i.e. withdrawing the exceptional Grünbaumian bottom base (by identification of the pairwise coincident bottom edges), would be better known as tetrahemitetrahedron.
Incidence matrix according to Dynkin symbol
xx3/2ox&#x → height = sqrt(2/3) = 0.816497
({3}  dual {6/2})
o.3/2o.  3 *  2 2 0 0  1 2 1 0
.o3/2.o  * 6  0 1 1 1  0 1 1 1
+++
x. ..  2 0  3 * * *  1 1 0 0
oo3/2oo&#x  1 1  * 6 * *  0 1 1 0
.x ..  0 2  * * 3 *  0 1 0 1
.. .x  0 2  * * * 3  0 0 1 1
+++
x.3/2o.  3 0  3 0 0 0  1 * * *
xx ..&#x  2 2  1 2 1 0  * 3 * *
.. ox&#x  1 2  0 2 0 1  * * 3 *
.x3/2.x  0 6  0 0 3 3  * * * 1
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