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