zometerns
Zometerns are a theoretical class of discrete geometric-topological constructs used to model spatial partitioning and information flow in networks. A zometern consists of a finite, connected collection of cells, each cell a polyhedral region, arranged so that neighboring cells share a boundary interface called a seam. Seams meet at junctions, and the incidence relations among seams and junctions define the connectivity of the structure. The term is used in discussions of mesh-like decompositions and has no single canonical form, allowing a variety of layouts to be studied under a common framework.
Construction and representation: A zometern is commonly described by a cell complex together with an adjacency
Properties: Zometerns admit dual descriptions, where cells and seams exchange roles; invariants such as the Euler
Applications and examples: As a modeling tool, zometerns are used to study mesh generation, geometric partitioning,