Acronym  autip, J49 
Name  augmented triangular prism 
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Vertex figures  [3^{4}], [3^{3},4], [3,4^{2}] 
Coordinates 

General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dihedral angles 

Confer 

External links 
While in autip the lacing square of trip gets augmented with a pyramid (squippy), etripy similarily would have the trigonal base being augmented with a pyramid (tet).
Incidence matrix according to Dynkin symbol
oxx oxo&#xt → height(1,2) = 1/sqrt(2) = 0.707107 height(2,3) = sqrt(3)/2 = 0.866025 (pt  pseudo {4}  line) o.. o..  1 * *  4 0 0 0 0  2 2 0 0 .o. .o.  * 4 *  1 1 1 1 0  1 1 1 1 ..o ..o  * * 2  0 0 0 2 1  0 0 2 1 +++ oo. oo.&#x  1 1 0  4 * * * *  1 1 0 0 .x. ...  0 2 0  * 2 * * *  1 0 1 0 ... .x.  0 2 0  * * 2 * *  0 1 0 1 .oo .oo&#x  0 1 1  * * * 4 *  0 0 1 1 ..x ...  0 0 2  * * * * 1  0 0 2 0 +++ ox. ...&#x  1 2 0  2 1 0 0 0  2 * * * ... ox.&#x  1 2 0  2 0 1 0 0  * 2 * * .xx ...&#x  0 2 2  0 1 0 2 1  * * 2 * ... .xo&#x  0 2 1  0 0 1 2 0  * * * 2
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