Neighborly families in \(E^d\) consisting of either \(d\)-pyramids over \((d-1)\)-cubes, or else of \(d\)-cubes

DOI10.1007/s00022-018-0452-0zbMath1402.52015OpenAlexW2897820786MaRDI QIDQ1990611

Ayal Zaks, Joseph Zaks

Publication date: 25 October 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0452-0

zbMATH Keywords

\(d\)-cubesconvex \(d\)-polytopes\(d\)-pyramids based on \((d-1)\)-cubesneighborly families of convex \(d\)-polytopesrods and frames

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Three-dimensional polytopes (52B10)

Cites Work

• Bounds on the cardinalities of families of nearly neighborly quadrilaterals
• Neighborly families of \(2^ k\) k-simplices in \(E^ k\).
• Putting convex \(d\)-polytopes inside frames
• Two neighborly families of 3-pyramids and of 3-boxes in \(E^{3}\)
• No nine neighborly tetrahedra exist
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