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[几何] 猜想

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guanmo1 posted 2021-1-29 21:33 |Read mode
猜想.jpg

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kuing posted 2021-1-29 22:18
搞得多吓人似的,还搞个没用的表达式……其实就是将正 `2n+1` 边形沿对角线(最长那两条)不断对折就形成了那图形,那么 `S_n` 就是这个正 `2n+1` 边形的面积,`n` 无穷大时就是直径为 2 的圆,结果就是 `\pi` 呗,瞬间搞定,还填个啥表,猜个啥。

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kuing posted 2021-1-29 22:41
来个 GIF 最清楚,对应图5:
正边形对折.gif
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1.jpg 2.jpg 3.jpg 4.jpg 5.jpg
6.jpg 7.jpg 8.jpg 9.jpg 10.jpg

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