通过采取一系列长度为 1, 2, ..., 的步长,并在每一步后转动角度
而形成的图形。螺线正多边形的符号是
,其中
s 表示这些步骤的转动方向为
。
螺线正多边形
另请参阅
Logo, Maurer Rose, Paterson's Worms, Spirograph, Turtle Geometry使用 Wolfram|Alpha 探索
参考文献
Gardner, M. "Mathematical Games: Fantastic Patterns Traced by Programmed 'Worms.' " Sci. Amer. 229, 116-123, Nov 1973.Gardner, M. "Worm Paths." Ch. 17 in Knotted Doughnuts and Other Mathematical Entertainments. New York: W. H. Freeman, pp. 205-221, 1986.Hall, L. "Trochoids, Roses, and Thorns--Beyond the Spirograph." College Math. J. 23, 20-35, 1992.Odds, F. C. "Spirolaterals." Math. Teacher 66, 121-124, 1973.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 239-241, 1991.![](/images/entries/mathematica.gif)
在 Wolfram|Alpha 上被引用
螺线正多边形请按如下方式引用
Weisstein, Eric W. “螺线正多边形。” 来自 MathWorld--Wolfram Web 资源。 https://mathworld.net.cn/Spirolateral.html