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Regular star polygons

机译:正星多边形

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摘要

Regular star polygon is a geometric figure most commonly encountered in art and architecture, but it also has its application in solving certain optimization problems. This figure is generated by successively connecting points (most often nonadjacent) that are regularly spaced on the circle, whereby connection is repeated until we return to the starting point. In this paper, we study their geometrical properties and present their role in art and culture.
机译:规则星形多边形是在艺术和建筑中最常遇到的几何图形,但在解决某些优化问题中也有其应用。此图是由连续连接的点(通常是不相邻的点)在圆上规则间隔生成的,从而重复连接,直到我们回到起点为止。在本文中,我们研究了它们的几何特性,并介绍了它们在艺术和文化中的作用。

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