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Truncated Polyhedron


A truncated polyhedron is a polyhedron with truncated faces, given by the Schläfli symbol t{p; q}.

The operation implemented as Truncate[polyhedron, r] in the Wolfram Language package PolyhedronOperations` displaces points along the edges of a polyhedron by a ratio r<=1/2, where r is the fraction of the edge length at which to truncate, and then fills in the resulting holes with new polygons. While this is not true truncation, the operation is equivalent to truncation for regular solids and r<=1/2. The operation is implemented in the Wolfram Language as TruncatedPolyhedron[poly].


See also

Frustum, Rhombic Polyhedron, Snub Polyhedron, Truncation

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References

Harris, J. W. and Stocker, H. "Obliquely Truncated n-Sided Prism." §4.2.5 in Handbook of Mathematics and Computational Science. New York: Springer-Verlag, p. 98, 1998.

Referenced on Wolfram|Alpha

Truncated Polyhedron

Cite this as:

Weisstein, Eric W. "Truncated Polyhedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/TruncatedPolyhedron.html

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