In geometry, an apeirotope or infinite polytope is a generalized polytope which has infinitely many facets. An abstract n-polytope is a partially ordered...
abstract polytope is called an abstract apeirotope if it has infinitely many elements; an abstract 2-apeirotope is called an abstract apeirogon.: 25 A...
example: An apeirotope or infinite polytope is a polytope which has infinitely many facets. An n-apeirotope is an infinite n-polytope: a 2-apeirotope or apeirogon...
In geometry, a skew apeirohedron is an infinite skew polyhedron consisting of nonplanar faces or nonplanar vertex figures, allowing the figure to extend...
this list of nonstarry regular complex apeirotopes or honeycombs. For each dimension there are 12 apeirotopes symbolized as δp,r n+1 exists in any dimensions...
theory of polystromata, showing examples of new objects he called regular apeirotopes, that is, regular polytopes with infinitely many faces. A simple example...
theories further generalize the idea to include such objects as unbounded apeirotopes and tessellations, decompositions or tilings of curved manifolds including...
generalize the idea to include such objects as unbounded polytopes (apeirotopes and tessellations), and abstract polytopes. The following are some of...
The concept of an abstract polytope is more general and also includes: Apeirotopes or infinite polytopes, which include tessellations (tilings) Proper decompositions...
Global Information