The equilateral triaugmented triangular prism is the Johnson solid constructed by erecting a regular tetrahedron on each square face of an equilateral triangular prism.It is a convex deltahedra composed of 14 equilateral triangles.
It is implemented in the Wolfram Language as PolyhedronData["TriaugmentedTriangularPrism"].
The skeleton of the triaugmented triangular prism is the Fritsch graph.
The polyhedron vertices are , , , , where the and coordinates of the last are found by solving
(1)
 
(2)

For a triaugmented triangular prism with unit side length, the surface area and volume are
(3)
 
(4)
