圓圓圈圈圓圓 - 拼圖
By Hedda
at 2011-05-24T04:33
at 2011-05-24T04:33
Table of Contents
出自某高智商博客,猜想版上大約有定期在逛那兒的強者已經看過了,請多包涵
問題是:怎麼用圓鋪滿三維空間,而不重複且不遺漏
(這裡的鋪滿相當於建構一系列圓,使得空間裡的每個點恰位於某個圓上)
Hint
原解非常抽像,幸好回覆原博文的版眾補了一個類似引理的東西我總算才看懂
這個引理/提示本身又是一個謎題,解決後原題大概就OK了 當然要挑戰從頭想起
也是可以的。
<欲看請開燈> 已知球面或平面是無法用圓無遺漏無重複的填滿的,然而只要
在其上挖掉兩個點,剩下的部分必可以被填滿。請驗證挖掉的不必是球面的
對蹠點,而可以是任意兩點。 ^^^^^^^^^^^^^^^^^
^^^^^^^^^^^^^^^^^^^^^^^^^
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