Polytope vs. Polyhedron

Polytopenoun

(geometry) A finite region of n-dimensional space bounded by hyperplanes (a geometric shape with flat sides, existing in any number of dimensions); the geometrical entity represented by the general term of the infinite sequence "point, line, polygon, polyhedron, ...".

Polytope

In elementary geometry, a polytope is a geometric object with sides. It is a generalization in any number of dimensions of the three-dimensional polyhedron.

Polyhedronnoun

(geometry) A solid figure with many flat faces and straight edges.

Polyhedronnoun

(optics) A polyscope, or multiplying glass.

Polyhedronnoun

A body or solid contained by many sides or planes.

Polyhedronnoun

A polyscope, or multiplying glass.

Polyhedronnoun

a solid figure bounded by plane polygons or faces

Polyhedron

In geometry, a polyhedron (plural polyhedra or polyhedrons) is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. The word polyhedron comes from the Classical Greek πολύεδρον, as poly- (stem of πολύς, ) + -hedron (form of ἕδρα, or ).