| | |
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) |