A chamfered dodecahedron, inaccurately called a truncated rhombic triacontahedron or more accurately called a pentatruncated rhombic triacontahedron, is a polyhedron obtained by chamfering a regular dodecahedron. The illustration above shows increasing amounts of chamfering applied to the regular dodecahedron.
An equilateral chamfered dodecahedron may be constructed by appropriate choice of the edge length ratio for chamfering. The unit equilateral chamfered dodecahedron has surface area and volume
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(1)
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(2)
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and is implemented in the Wolfram Language as PolyhedronData["EquilateralChamferedDodecahedron"].
The canonical chamfered dodecahedron, illustrated above, has edge lengths
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(3)
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(4)
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and will be implemented as PolyhedronData["CanonicalChamferedDodecahedron"].
