runcination
Sign in to savethumb|A runcinated cubic honeycomb (partial) - The original cells (purple cubes) are reduced in size. Faces become new blue cubic cells. Edges become new red cubic cells. Vertices become new cubic cells (hidden).
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thumb|A runcinated cubic honeycomb (partial) - The original cells (purple cubes) are reduced in size. Faces become new blue cubic cells. Edges become new red cubic cells. Vertices become new cubic cells (hidden).
In geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously along the faces, edges, and vertices, creating new facets in place of the original face, edge, and vertex centers.
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geometry
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International Standard Book Number
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prism
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John Horton Conway
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MathWorld
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antiprism
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Schläfli symbol
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Eric W. Weisstein
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Harold Scott MacDonald Coxeter
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Alicia Boole Stott
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4-polytope
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Norman Johnson
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vertex figure
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uniform polyhedron
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regular polytope
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Coxeter–Dynkin diagram
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honeycomb
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3-manifold
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truncation
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cantellation
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