vix.ing · top · new · best · stats · spec

A regular n-gon spiral

2022/11/11 by Fridberg, Kyle
#11L03 (Secondary) #51N20 (Primary) 40A05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.2211.06484

Abstract

We construct a polygonal spiral by arranging a sequence of regular n-gons such that each n-gon shares a specified side and vertex with the (n+1)-gon in the construction. By offering flexibility for determining the size of each n-gon in the spiral, we show that a number of different analytical and asymptotic behaviors can be achieved.

Related