Cantellation (geometry)
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 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.
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Apeirogonal antiprismApeirogonal hosohedronApeirogonal prismArchimedean solidCantellated 120-cellCantellated 24-cell honeycombCantellated 24-cellsCantellated 5-cellCantellated 5-cubesCantellated 5-orthoplexesCantellated 5-simplexesCantellated 6-cubesCantellated 6-orthoplexesCantellated 6-simplexesCantellated 7-cubesCantellated 7-orthoplexesCantellated 7-simplexesCantellated 8-simplexesCantellated polyhedronCantellated tesseractCantellated tesseractic honeycombCantellationChamfer (geometry)Conway polyhedron notationCuboctahedronExpanded polyhedronExpansion (geometry)HemipolyhedronHeptellated 8-simplexesList of polygons, polyhedra and polytopesOmnitruncationOrder-2 apeirogonal tilingPrism (geometry)Rectification (geometry)RhombicosidodecahedronRhombicuboctahedronRhombidodecadodecahedronRhombitriapeirogonal tilingRhombitriheptagonal tilingRhombitrihexagonal tiling
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Cantellation (geometry)
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 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.
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En geometria, una escantellaci ...... lacions regulars i enrajolats.
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En geometrio, laterotranĉo est ...... uredro al ĝia rektigita formo.
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In geometry, a cantellation is ...... ge and for each opened vertex.
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Скашивание — операция в простр ...... щелей образуются новые грани.
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945,031,485
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title
Expansion
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Expansion
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En geometria, una escantellaci ...... lacions regulars i enrajolats.
@ca
En geometrio, laterotranĉo est ...... olo de Schläfli t0,2{p,q,...}.
@eo
In geometry, a cantellation is ...... ge and for each opened vertex.
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Скашивание — операция в простр ...... щелей образуются новые грани.
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Cantellation (geometry)
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Escantellació (geometria)
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Laterotranĉo (geometrio)
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Скашивание (геометрия)
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