A regular $n$-gon spiral

Fuente: arXiv
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Autore principale: Fridberg, Kyle
Natura: Preprint
Pubblicazione: 2022
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author Fridberg, Kyle
author_facet Fridberg, Kyle
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2211_06484
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle A regular $n$-gon spiral
Fridberg, Kyle
Metric Geometry
Classical Analysis and ODEs
51N20 (Primary) 40A05, 11L03 (Secondary)
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.
title A regular $n$-gon spiral
topic Metric Geometry
Classical Analysis and ODEs
51N20 (Primary) 40A05, 11L03 (Secondary)
url https://arxiv.org/abs/2211.06484