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In [[geometry]], the '''augmented triangular prism''' is one of the [[Johnson solid]]s (''J''<sub>49</sub>). As the name suggests, it can be constructed by augmenting a triangular [[prism (geometry)|prism]] by attaching a [[square pyramid]] (''J''<sub>1</sub>) to one of its equatorial faces. The resulting solid bears a superficial resemblance to the [[gyrobifastigium]] (''J''<sub>26</sub>), 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 [[Duoprism#Duoantiprism|2-''p'' duoantiprism]] (if ''p'' is greater than 2). Despite the fact that ''p'' = 3 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 2-''p'' duoantitegums (duals of the 2-''p'' duoantiprisms).
{{Johnson solid}}
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