From Golden Spirals to Constant Slope Surfaces
From Golden Spirals to Constant Slope Surfaces
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DOI：
10.1063/1.3459064
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发表时间：
2009-03
期刊：
影响因子：
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通讯作者：
M. Munteanu
中科院分区：
文献类型：
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作者：
M. Munteanu
本文求出欧几里得三维空间中所有的常斜率曲面，即曲面上某一点的位置向量与该点处曲面的法线夹角为恒角的曲面。这些曲面可以看作是广义螺旋的二维类似物。利用我们找到的参数方程，画出了一些图像。
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.