From Golden Spirals to Constant Slope Surfaces
Differential Geometry
2011-06-21 v1
Abstract
In this paper, we find all constant slope surfaces in the Euclidean 3-space, namely those surfaces for which the position vector of a point of the surface makes constant angle with the normal at the surface in that point. These surfaces could be thought as the bi-dimensional analogue of the generalized helices. Some pictures are drawn by using the parametric equations we found.
Keywords
Cite
@article{arxiv.0903.1348,
title = {From Golden Spirals to Constant Slope Surfaces},
author = {Marian Ioan Munteanu},
journal= {arXiv preprint arXiv:0903.1348},
year = {2011}
}
Comments
11 pages, 8 figures