Editing Augmented truncated tetrahedron (section)

== Construction ==
The augmented truncated tetrahedron is constructed from a [[truncated tetrahedron]] by attaching a [[triangular cupola]].{{r|rajwade}} This cupola covers one of the truncated tetrahedron's four hexagonal faces, so that the resulting polyhedron's faces are eight [[equilateral triangle]]s, three [[square]]s, and three [[regular hexagon]]s.{{r|berman}} Since it has the property of [[Convex set|convexity]] and has [[regular polygon]]al faces, the augmented truncated tetrahedron is a [[Johnson solid]], denoted as the sixty-fifth Johnson solid <math> J_{65} </math>.{{r|francis}}