Question

What is polyhedron? And explain?

Answer 1

The word polyhedron has slightly different meanings in geometry and algebraic geometry. In geometry, a polyhedron is simply a three-dimensional solid which consists of a collection of polygons, usually joined at their edges.

The term "polyhedron" is used somewhat differently in algebraic topology, where it is defined as a space that can be built from such "building blocks" as line segments, triangles, tetrahedra, and their higher dimensional analogs by "gluing them together" along their faces.

Polyhedron can be viewed as an intersection of half-spaces, while a polytope is a bounded polyhedron.
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Answer 2

A three-dimensional solid is a convex set if it contains every line segment connecting two of its points. ... A convex polyhedron can also be defined as a bounded intersection of finitely many half-spaces, or as the convex hull of finitely many points.