polytope Definition
a geometric figure with flat sides and straight edges in any number of dimensions.
Using polytope: Examples
Take a moment to familiarize yourself with how "polytope" can be used in various situations through the following examples!
Example
A cube is a three-dimensional polytope.
Example
The dodecahedron is a five-dimensional polytope.
Example
The regular octahedron is a two-dimensional polytope.
polytope Synonyms and Antonyms
Synonyms for polytope
Phrases with polytope
a polytope where the line segment joining any two points inside the polytope lies entirely within the polytope
Example
A regular tetrahedron is a convex polytope.
Example
A regular simplex is a simple polytope.
Example
The regular dodecahedron is a regular polytope.
Summary: polytope in Brief
A 'polytope' [ˈpɑːlɪtəʊp] is a geometric figure with flat sides and straight edges in any number of dimensions. It includes shapes like cubes, dodecahedrons, and regular octahedrons. Polytopes can be further classified into types like convex, simple, and regular polytopes.
