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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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(2)
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For a triaugmented triangular prism with unit side length, the surface area and volume are
(3)
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(4)
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