What does cantellation mean?

Definitions for cantellation
can·tel·la·tion

This dictionary definitions page includes all the possible meanings, example usage and translations of the word cantellation.


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Wiktionary

  1. cantellationnoun

    An operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex.

Wikipedia

  1. cantellation

    In geometry, a cantellation is a 2nd-order truncation in any dimension that bevels a regular polytope at its edges and at its vertices, creating a new facet in place of each edge and of each vertex. Cantellation also applies to regular tilings and honeycombs. Cantellating a polyhedron is also rectifying its rectification. Cantellation (for polyhedra and tilings) is also called expansion by Alicia Boole Stott: it corresponds to moving the faces of the regular form away from the center, and filling in a new face in the gap for each opened edge and for each opened vertex.

Wikidata

  1. Cantellation

    In geometry, a cantellation is an operation in any dimension that cuts a regular polytope at its edges and vertices, creating a new facet in place of each edge and vertex. The operation also applies to regular tilings and honeycombs. This is also rectifying its rectification. It is represented by an extended Schläfli symbol t0,2{p,q,...}. For polyhedra, a cantellation operation offers a direct sequence from a regular polyhedron and its dual. This operation is also called expansion by Alicia Boole Stott, as imagined by taking the faces of the regular form moving them away from the center and filling in new faces in the gaps for each opened vertex and edge. Example cantellation sequence between a cube and octahedron For higher dimensional polytopes, a cantellation offers a direct sequence from a regular polytope and its birectified form. A Cuboctahedron would be a cantellated Tetrahedron, as another example.

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Numerology

  1. Chaldean Numerology

    The numerical value of cantellation in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of cantellation in Pythagorean Numerology is: 9

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"cantellation." Definitions.net. STANDS4 LLC, 2024. Web. 28 Mar. 2024. <https://www.definitions.net/definition/cantellation>.

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