Voronoy polyhedron - definição. O que é Voronoy polyhedron. Significado, conceito
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O que (quem) é Voronoy polyhedron - definição

OPERATION THAT BEVELS A REGULAR POLYTOPE AT ITS EDGES AND VERTICES
Cantellation; Cantellated polyhedron; Expanded polyhedron
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Polyhedron         
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  • The octahedron is dual to the cube
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  • Full [[icosahedral symmetry]] divides the sphere into 120 triangular domains.
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  • A skeletal polyhedron (specifically, a [[rhombicuboctahedron]]) drawn by [[Leonardo da Vinci]] to illustrate a book by [[Luca Pacioli]]
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  • Matemateca IME-USP]])
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  • The [[tetrahemihexahedron]], a non-orientable self-intersecting polyhedron with four triangular faces (red) and three square faces (yellow). As with a [[Möbius strip]] or [[Klein bottle]], a continuous path along the surface of this polyhedron can reach the point on the opposite side of the surface from its starting point, making it impossible to separate the surface into an inside and an outside.
  • Universum museum]] in Mexico City
SOLID IN THREE DIMENSIONS WITH FLAT FACES
Polyhedra; CHILIAHEDRON; Polyhedrons; Chiliahedron; 3-polytope; Polyhedron and Polyhedra; Nullitope; 3-dimensional polytope; Polyhedral surface; Hedron; Hedrons; Null polytope; N-hedron; Volume of a polyhedron; Coptic polyhedron; Acoptic polyhedron; Nonacoptic polyhedron; 0-gon; Null polygon; Topological polyhedra; Orthogonal polyhedron; Orthogonal polyhedra; Orthogonal polyhedrons; Facet of a polyhedron
·noun A polyscope, or multiplying glass.
II. Polyhedron ·noun A body or solid contained by many sides or planes.
Polyhedrons         
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  • The octahedron is dual to the cube
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  • Full [[icosahedral symmetry]] divides the sphere into 120 triangular domains.
  • 50px
  • 120px
  • A skeletal polyhedron (specifically, a [[rhombicuboctahedron]]) drawn by [[Leonardo da Vinci]] to illustrate a book by [[Luca Pacioli]]
  • 50px
  • Matemateca IME-USP]])
  • 120px
  • 120px
  • 50px
  • The [[tetrahemihexahedron]], a non-orientable self-intersecting polyhedron with four triangular faces (red) and three square faces (yellow). As with a [[Möbius strip]] or [[Klein bottle]], a continuous path along the surface of this polyhedron can reach the point on the opposite side of the surface from its starting point, making it impossible to separate the surface into an inside and an outside.
  • Universum museum]] in Mexico City
SOLID IN THREE DIMENSIONS WITH FLAT FACES
Polyhedra; CHILIAHEDRON; Polyhedrons; Chiliahedron; 3-polytope; Polyhedron and Polyhedra; Nullitope; 3-dimensional polytope; Polyhedral surface; Hedron; Hedrons; Null polytope; N-hedron; Volume of a polyhedron; Coptic polyhedron; Acoptic polyhedron; Nonacoptic polyhedron; 0-gon; Null polygon; Topological polyhedra; Orthogonal polyhedron; Orthogonal polyhedra; Orthogonal polyhedrons; Facet of a polyhedron
·pl of Polyhedron.
Chiliahedron         
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  • The octahedron is dual to the cube
  • 120px
  • 120px
  • 50px
  • Full [[icosahedral symmetry]] divides the sphere into 120 triangular domains.
  • 50px
  • 120px
  • A skeletal polyhedron (specifically, a [[rhombicuboctahedron]]) drawn by [[Leonardo da Vinci]] to illustrate a book by [[Luca Pacioli]]
  • 50px
  • Matemateca IME-USP]])
  • 120px
  • 120px
  • 50px
  • The [[tetrahemihexahedron]], a non-orientable self-intersecting polyhedron with four triangular faces (red) and three square faces (yellow). As with a [[Möbius strip]] or [[Klein bottle]], a continuous path along the surface of this polyhedron can reach the point on the opposite side of the surface from its starting point, making it impossible to separate the surface into an inside and an outside.
  • Universum museum]] in Mexico City
SOLID IN THREE DIMENSIONS WITH FLAT FACES
Polyhedra; CHILIAHEDRON; Polyhedrons; Chiliahedron; 3-polytope; Polyhedron and Polyhedra; Nullitope; 3-dimensional polytope; Polyhedral surface; Hedron; Hedrons; Null polytope; N-hedron; Volume of a polyhedron; Coptic polyhedron; Acoptic polyhedron; Nonacoptic polyhedron; 0-gon; Null polygon; Topological polyhedra; Orthogonal polyhedron; Orthogonal polyhedra; Orthogonal polyhedrons; Facet of a polyhedron
·noun A figure bounded by a thousand plane surfaces.

Wikipédia

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 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.