Types of Polytopes

Discussion of tapertopes, uniform polytopes, and other shapes with flat hypercells.

Types of Polytopes

Postby ubersketch » Sun Dec 24, 2017 6:34 pm

This is a list of types of polytopes where it is based off of the relationships between elements.

Compound
A polytope where some of the edges are not connected by any element to another.

Exotic
A polytope where more than two facets are on a ridge.

Exotical
A polytope where the elements are exotic but the polytope itself isn't exotic.

Fissary
A polytope with compound vertex figures but is not compound.

Complexified
A polytope with compound facets but is not compound.

Degenerate
A polytope where every facet is d-1 hypercoplanar with another and there are finite elements.

Unbounded
Has at least one element at infinity.

Tesselation
A polytope where all of the facets are d-1 hypercoplanar and there are infinite elements.

Manifoldic
A polytope where all of the facets lie on a manifold.

Coincidic
A polytope where the facets coincide.

Cofacetal
A polytope where some of the facets are d-1 hypercoplanar.

Skew
A polytope with an infinite amount of facets that are not d-1 hypercoplanar.

Solid
A polytope which is not coincidic, n-1 hypercoplanar, on a non-orb manifold, nor a compound.
User avatar
ubersketch
Trionian
 
Posts: 67
Joined: Thu Nov 30, 2017 12:00 am

Return to Other Polytopes

Who is online

Users browsing this forum: No registered users and 1 guest