cross-polytope oor Spaans

cross-polytope

naamwoord
en
( geometry) A polytope that is the convex hull of points, two on each Cartesian axis of a Euclidean space, that are equidistant from the origin; an orthoplex.

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politopo de cruce

en
a regular polytope dual to the hypercube in any number of dimensions
es
politopo regular convexo
wikidata

Geskatte vertalings

Vertoon algoritmies gegenereerde vertalings

voorbeelde

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The measure and cross polytopes in any dimension are dual to each other.
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The cross-polytope is the dual polytope of the hypercube.
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Important examples of convex bodies are the Euclidean ball, the hypercube and the cross-polytope.
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The n-dimensional cross-polytope has 2n vertices, and 2n facets (n−1 dimensional components) all of which are n−1 simplices.
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The dual of a dekeract can be called a 10-orthoplex or decacross, and is a part of the infinite family of cross-polytopes.
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The 4-dimensional cross-polytope also goes by the name hexadecachoron or 16-cell.
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Cross-polytope - Wikipedia, the free encyclopedia
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Higher-dimensional cross-polytopes are generalizations of these.
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In this way, we can see (if not fully grasp) the full four-dimensional structure of the four-dimensional regular polytopes, via such cutaway cross sections.
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She then produced three-dimensional central cross-sections of all the six regular polytopes by purely Euclidean constructions and synthetic methods for the simple reason that she had never learned any analytic geometry.
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An important example of this type comes from computational geometry: the duality for any finite set S of points in the plane between the Delaunay triangulation of S and the Voronoi diagram of S. As with dual polyhedra and dual polytopes, the duality of graphs on surfaces is a dimension-reversing involution: each vertex in the primal embedded graph corresponds to a region of the dual embedding, each edge in the primal is crossed by an edge in the dual, and each region of the primal corresponds to a vertex of the dual.
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11 sinne gevind in 7 ms. Hulle kom uit baie bronne en word nie nagegaan nie.