Equiangular surfaces, self-similar surfaces and the geometry of sea shells
History and Overview
2017-02-14 v1 Differential Geometry
Abstract
We investigate three-dimensional surfaces where the normal vector forms a constant angle with the radius vector. These surfaces naturally extend equiangular (logarithmic) spirals in the plane.
Keywords
Cite
@article{arxiv.1702.03887,
title = {Equiangular surfaces, self-similar surfaces and the geometry of sea shells},
author = {Khristo N. Boyadzhiev},
journal= {arXiv preprint arXiv:1702.03887},
year = {2017}
}
Comments
This paper was published ten years ago in the College Mathematics Journal (see below). We present here a copy with better illustrations