From Golden Spirals to Constant Slope Surfaces

Details From Golden Spirals to Constant Slope Surfaces From Golden Spirals to Constant Slope Surfaces

2009-03-07

arxiv.org/abs/0903.1348v1

Journal of Mathematical Physics, 51 (2010) 7, 073507:1-9

Mathematics

Differential Geometry

11 pages, 8 figures

Scientific paper

10.1063/1.3459064

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.

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