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In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.

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  • Expansion (geometry)
  • Expansão de sólido
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  • A expansão de sólido é uma operação sobre um poliedro que permite obter outro poliedro. A operação consiste em afastar todas as faces do poliedro e preencher os espaços vazios resultantes com polígonos (triângulos, rectângulos, pentágonos, etc.). A expansão de sólido é caso especial de snubificação em que não ocorre rotação.
  • In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size.
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  • In geometry, expansion is a polytope operation where facets are separated and moved radially apart, and new facets are formed at separated elements (vertices, edges, etc.). Equivalently this operation can be imagined by keeping facets in the same position but reducing their size. The expansion of a regular polytope creates a uniform polytope, but the operation can be applied to any convex polytope, as demonstrated for polyhedra in Conway polyhedron notation. For polyhedra, an expanded polyhedron has all the faces of the original polyhedron, all the faces of the dual polyhedron, and new square faces in place of the original edges.
  • A expansão de sólido é uma operação sobre um poliedro que permite obter outro poliedro. A operação consiste em afastar todas as faces do poliedro e preencher os espaços vazios resultantes com polígonos (triângulos, rectângulos, pentágonos, etc.). A expansão de sólido é caso especial de snubificação em que não ocorre rotação.
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  • Expansion
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  • Expansion
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