We introduce a construction of large neighborly and nearly-neighborly families of d-polytopes in Ed, obtained by putting smaller such families in rods, to form suitable frames for a larger collection. We use it to exhibit, among general results, a nearly-neighborly family, consisting of 9 × 4 d - 2 combinatorially d-boxes in Ed, for every d≥ 3 (like 36 3-boxes in E3) and a neighborly family of 3 × 2 d - 1 of prisms over d-simplices (like 12 triangular prisms in E3).
|Journal||Journal of Geometry|
|State||Published - 1 Aug 2018|
Bibliographical notePublisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.
- Nearly-neighborly families
- Neighborly families
- Rods and frames
ASJC Scopus subject areas
- Geometry and Topology