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arXiv · 0903.1348

From Golden Spirals to Constant Slope Surfaces

Marian Ioan Munteanu
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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.

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Marian Ioan Munteanu. 2009-03-07. From Golden Spirals to Constant Slope Surfaces. https://doi.org/10.1063/1.3459064

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