Acronym  etripy, J7 
Name  elongated triangular pyramid 
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Vertex figure  [3^{3}], [3^{2},4^{2}], [3,4^{2}] 
General of army  (is itself convex) 
Colonel of regiment  (is itself locally convex) 
Dihedral angles  
Confer 

External links 
While in etripy the trigonal base of trip gets augmented with a pyramid (tet), autip similarily would have the lacing square being augmented with a pyramid (squippy).
Incidence matrix according to Dynkin symbol
oxx3ooo&#xt → height(1,2) = sqrt(3/8) = 0.612372 height(2,3) = 1 (pt  pseudo {3}  {3}) o..3o..  1 * *  3 0 0 0  3 0 0 .o.3.o.  * 3 *  1 2 1 0  2 2 0 ..o3..o  * * 3  0 0 1 2  0 2 1 +++ oo.3oo.&#x  1 1 0  3 * * *  2 0 0 .x. ...  0 2 0  * 3 * *  1 1 0 .oo3.oo&#x  0 1 1  * * 3 *  0 2 0 ..x ...  0 0 2  * * * 3  0 1 1 +++ ox. ...&#x  1 2 0  2 1 0 0  3 * * .xx ...&#x  0 2 2  0 1 2 1  * 3 * ..x3..o  0 0 3  0 0 0 3  * * 1
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