Fibonacci Numbers, Integer Compositions, and Nets of Antiprisms

DOI10.1080/00029890.2019.1644124zbMath1427.52010OpenAlexW2981693976WikidataQ127025301 ScholiaQ127025301MaRDI QIDQ5238049

Rick Mabry

Publication date: 28 October 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1644124

zbMATH Keywords

polyhedraFibonacci numbers\(n\)-antiprismuniform antiprisms

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Continuous blooming of convex polyhedra
• The Number of Different Unfoldings of Polyhedra
• Convex polytopes with convex nets
• D "urer's Unfolding Problem for Convex Polyhedra
• Enumerating nets of prism-like polyhedra
• Convex Polyhedra
• Compositions and Fibonacci Identities
• Weighted Compositions
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