Acronym  ... 
Name 
truncated triangular prism, expanded ambiated trip 
Circumradius  sqrt[(7y^{2}+16y+16)/12] 
Confer 

Truncation wrt. a nonregular polytope is meant to any instance of truncations on all vertices. For preimages with different edge types however the ratio correlation of the remaining bits of those becomes arbitrary. Therefore trip cannot be truncated (within this stronger sense). Nonetheless the Conway operator of ambification (chosing the edge centers generally) clearly is applicable. And thus an expansion of that ambification could replace the usual expansion of the rectification here. This would result in 3 different edge sizes in the outcome polyhedron. That one here is scaled such so that the shorter specified one becomes unity. Then the larger specified edge will have size q=sqrt(2). The third one would be the arbitrary expansion size y (corresponding to the arbitrary truncation depth). In fact, for y=0 this results again in the ambiated trip, while y → ∞ results again in the preimage trip (rescaled back down accordingly).
Incidence matrix according to Dynkin symbol
by xo3yb&#zq → height = 0 y > 0 (arbitrary expansion size) b = y+2 (pseudo) (qlaced tegum sum of (x,y,b)hip and (b,y)trip) o. o.3o.  12 *  1 1 1 0  1 1 1 .o .o3.o  * 6  0 0 2 1  0 2 1 +++ .. x. ..  2 0  6 * * *  1 0 1 x .. .. y.  2 0  * 6 * *  1 1 0 y oo oo3oo&#q  1 1  * * 12 *  0 1 1 q .y .. ..  0 2  * * * 3  0 2 0 y +++ .. x.3y.  6 0  3 3 0 0  2 * * (x,y){6} by .. yb&#zq  4 4  0 2 4 2  * 3 * (y,q){8} .. xo ..&#q  2 1  1 0 2 0  * * 6 xqq
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