Augmented Triangular Prism
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 In geometry, a circumscribed sphere of a polyhedron is a sphere that contains the polyhedron and touches each of the polyhedron's vertices. The word circumsphere is sometimes used to mean the same thing, by analogy with the term ''circumcircle' ... that touches all vertices. Its dual, a triangular bipyramid with one of its 4-valence vertices truncated, can be found as ce ...
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Biaugmented Triangular Prism
In geometry, the biaugmented triangular prism is one of the Johnson solids (). As the name suggests, it can be constructed by augmenting a triangular prism by attaching square pyramids () to two of its equatorial face (geometry), faces. It is related to the augmented triangular prism () and the triaugmented triangular prism (). External links

* ** Johnson solids {{Polyhedron-stub ...
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