随机多边形是以某种随机方式生成的多边形。 Kendall 推测，随着多边形面积变大，随机多边形的形状接近于一个圆盘 (Stoyan et al. 1987, Kovalenko 1999)。
随机多边形
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参考文献
Kovalenko, I. N. "Proof of David Kendall's Conjecture Concerning the Shape of Large Random Polygons." Cybern. Sys. Anal. 33, 461-467, 1997.Kovalenko, I. N. "A Simplified Proof of a Conjecture of D. G. Kendall Concerning Shapes of Random Polygons." J. Appl. Math. Stoch. Anal. 12, 301-310, 1999.Miles, R. E. "A Heuristic Proof of a Long-Standing Conjecture of D. G. Kendall Concerning the Shapes of Certain Large Random Polygons." Adv. Appl. Prob. (SGSA) 27, 397-471, 1997.Stoyan, D.; Kendall, W. S.; and Mecke, J. Stochastic Geometry and Its Applications, 2nd ed. New York: Wiley, 1987.在 Wolfram|Alpha 中引用
随机多边形请这样引用
Weisstein, Eric W. “随机多边形。” 来自 MathWorld--Wolfram Web 资源。 https://mathworld.net.cn/RandomPolygon.html