A Novel Geometric Model of Natural Spirals Based on Right Triangle Polygonal Modular Formations

TL;DR

This paper introduces a new geometric model for natural spirals using right triangle fractals, improving the accuracy of representing phenomena like hurricanes and galaxies.

Contribution

It presents a novel class of spirals based on polygonal formations and demonstrates their superior fit to natural phenomena compared to existing models.

Findings

Better match with natural spirals such as hurricanes and galaxies

Enhanced categorization of spiral phenomena

Improved prediction of physical properties

Abstract

We propose a novel class of spirals that are based on perfect polygonal formations. The spirals are defined by a fractal of right triangles that delineate their geometry and determine their progression rates and modes. We show how these spirals match naturally occurring ones, including hurricanes and galaxies, much better than already proposed models, allowing for more accurate categorization of these phenomena and better prediction of their physical properties.