The equilateral triaugmented triangular prism is the Johnson solid
constructed by erecting an equilateral square pyramid
on each square face of an equilateral
triangular prism. It is a convex deltahedron 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 positive-
vertex in the last pair are found by solving
|
(1)
| |||
|
(2)
|
For a triaugmented triangular prism with unit edge length, the surface area and volume are
|
(3)
| |||
|
(4)
|