What does convex polyhedron mean?

Definitions for convex polyhedron
con·vex po·ly·he·dron

This dictionary definitions page includes all the possible meanings, example usage and translations of the word convex polyhedron.

Princeton's WordNet

  1. convex polyhedronnoun

    a polyhedron any plane section of which is a convex polygon

Wikipedia

  1. convex polyhedron

    A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n {\displaystyle n} -dimensional Euclidean space R n {\displaystyle \mathbb {R} ^{n}} . Most texts use the term "polytope" for a bounded convex polytope, and the word "polyhedron" for the more general, possibly unbounded object. Others (including this article) allow polytopes to be unbounded. The terms "bounded/unbounded convex polytope" will be used below whenever the boundedness is critical to the discussed issue. Yet other texts identify a convex polytope with its boundary. Convex polytopes play an important role both in various branches of mathematics and in applied areas, most notably in linear programming. In the influential textbooks of Grünbaum and Ziegler on the subject, as well as in many other texts in discrete geometry, convex polytopes are often simply called "polytopes". Grünbaum points out that this is solely to avoid the endless repetition of the word "convex", and that the discussion should throughout be understood as applying only to the convex variety (p. 51). A polytope is called full-dimensional if it is an n {\displaystyle n} -dimensional object in R n {\displaystyle \mathbb {R} ^{n}} .

ChatGPT

  1. convex polyhedron

    A convex polyhedron is a three-dimensional geometric figure with flat polygonal faces, straight edges and sharp corners or vertices in which all interior angles are less than or equal to 180 degrees and any line segment drawn between any two points in the figure lies entirely within the figure. In simpler terms, it's a solid object that you cannot 'poke a hole' in or 'pass through' without cutting or deforming its surface. It includes shapes like cubes, pyramids, and prisms.

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Numerology

  1. Chaldean Numerology

    The numerical value of convex polyhedron in Chaldean Numerology is: 6

  2. Pythagorean Numerology

    The numerical value of convex polyhedron in Pythagorean Numerology is: 8


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"convex polyhedron." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/convex+polyhedron>.

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