Almost regular integer Fibonacci pentagons
type: Item
instance of: scholarly article
title: Almost regular integer Fibonacci pentagons
zbMATH Open document ID: 0776.11007
author: James H. Jordan
author: Blake E. Peterson
published in: Rocky Mountain Journal of Mathematics
publication date: 1993-11-29T00:00:00Z
review text: In this note two families \(A_ n\) and \(B_ n\) of pentagons with integral sides and integral diagonals are constructed. \(A_ n\) has 3 sides \(a_ n=F_{n+1} F^ 2_{n+2}\) and 2 sides \(b_ n=F_ n F_{n+2} F_{n+3}\), where \(F_ n\) denotes the \(n\)-th Fibonacci number. \(B_ n\) has 4 sides \(c_ n=F^ 3_{n+2}\) and one side \(g_ n=F^ 3_{n+2}+(-1)^ n F_{n+4}\).
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 218641
zbMATH Keywords: integer pentagons
zbMATH Keywords: Fibonacci numbers
zbMATH Keywords: pentagons with integral sides and integral diagonals
reviewed by: Robert F. Tichy
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072619
OpenAlex ID: W2038105663
cites work: Q3763176
cites work: Auf einem Kreis liegende Punktmengen ganzzahliger Entfernungen
DOI: 10.1216/RMJM/1181072619
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description: scientific article; zbMATH DE number 218641