In geometry, the augmented triangular prism is one of the Johnson solids (). As the name suggests, it can be constructed by augmenting a triangular prism by attaching a square pyramid () to one of its equatorial faces. The resulting solid bears a superficial resemblance to the gyrobifastigium (), the difference being that the latter is constructed by attaching a second triangular prism, rather than a square pyramid. It is also the vertex figure of the nonuniform duoantiprism (if ). Despite the fact that would yield a geometrically identical equivalent to the Johnson solid, it lacks a circumscribed sphere that touches all vertices. Its dual, a triangular bipyramid with one of its 4-valence vertices truncated, can be found as cells of the duoantitegums (duals of the duoantiprisms). External links Johnson solids