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Polyhedra

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Questions and Answers

What are the characteristics of a polyhedron?

A polyhedron has flat polygonal faces, straight edges, and sharp corners or vertices.

What is a convex polyhedron?

A convex polyhedron is the convex hull of finitely many points, not all on the same plane.

What are some examples of convex polyhedra?

Cubes and pyramids are examples of convex polyhedra.

What is a polyhedron in relation to a polytope?

<p>A polyhedron is a three-dimensional example of a polytope, a more general concept in any number of dimensions.</p> Signup and view all the answers

What is the main issue with the mathematical definition of non-convex polyhedra?

<p>The formal mathematical definition of polyhedra that are not required to be convex has been problematic, with different definitions given within particular contexts and no universal agreement over which to choose.</p> Signup and view all the answers