词汇 | polyhedron |
释义 | polyhedron noun[ C ] mathematics specializeduk /ˌpɒl.iˈhiː.drən/ us /ˌpɑː.liˈhiː.drɑːn/pluralpolyhedrons or polyhedrauk /-drə/us a solid shape with four or more flat surfaces: 多面体 A cube is a polyhedron.立方体属于多面体。 Geometrical shapes -cornered circularly congruently conic cuboid cylindrically lozenge orbicular ovally ovoid parallelogram pentagon polytope prism pyramid quadrilateral rectangle rectangular rhombus three-dimensional polyhedron | American Dictionarypolyhedron noun[ C ] us/ˌpɑl·iˈhi·drən/pluralpolyhedrons or polyhedraus/ˌpɑl·iˈhi·drə/ geometry a solid shape with four or more flat surfaces Examples of polyhedronpolyhedron Then we obtain a facet-defining inequality of the projected polyhedron. For example, the sample points of a polyhedral obstacle can be the vertices of the polyhedron. Section 2 describes the approach for the construction of enclosing and enclosed ellopsoids of convex polyhedra. An approach for computing the enclosed ellipsoid of a convex polyhedron by compressing, stretching and scaling operations on its best-fit enclosing ellipsoid is introduced. Finally, we derive a facet-defining inequality of the original polyhedron by introducing the fixed variables in the inequality obtained in the previous step. Alternatively, ' 'paper bag' ' icons can mark the position of polyhedra, revealing their size but not their shape. For simulations, the links of redundant robots are modeled by a union of line segments or convex polyhedra. In particular, special care must be taken to avoid infinite loops bouncing back and forth between refining segments and facets of the input polyhedron. Therefore, the proposed method just focuses on generating an enclosed ellopsoid, which is as large as possible, to fit the polyhedron tightly. Gluing copies of a 3-dimensional polyhedron to obtain a closed nonpositively curved (pseudo)manifold. Consequently, how to accurately model convex polyhedra is very important for efficient minimum separating distance computation and collision detection. By a polyhedron we mean a convex 3-dimensional polytope. This section introduces polyhedra and studies the problem of how many tetrahedra are needed to mesh them. Note that each graph (that is, one-dimensional finite polyhedron) is a local dendrite. A polyhedron's representation is given by the equation (2). These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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