Almost regular integer Fibonacci pentagons
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 \(g_ n=F^ 3_{n+2}+(-1)^ n F_{n+4}\).
pentagons with integral sides and integral diagonals
scientific article; zbMATH DE number 218641