从黄金螺旋到等斜率曲面
From Golden Spirals to Constant Slope Surfaces
摘要：
本文在欧氏空间中找到了所有常斜率曲面，即曲面上一点的位置向量与该点上曲面的法线成常角的曲面。这些表面可以被认为是广义螺旋的二维模拟。利用所得到的参数方程绘制了一些图形。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
