[中譯] PuzzleUp 2010 (1) Equilateral Triangles
看板puzzle (益智遊戲 - 數獨,拼圖,推理,西洋棋)作者meowth (喵貓)時間16年前 (2010/07/14 19:36)推噓30(30推 0噓 9→)留言39則, 12人參與討論串1/1
首頁：http://www.puzzleup.com/2010/
時限：2010/07/14（四）19:00～07/20（三）18:59
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◆Equilateral Triangles
You are using a drawing program on a computer.
You place several equilateral triangles of the same size on the screen.
You observe that you can cover any of these triangles
by moving the other triangles without rotating.
What is the minimum number of triangles you have to place on the screen
to ensure that this observation holds true for every case?
你使用電腦的繪圖軟體並放置數個同樣大小的正三角形在螢幕上.
你發現如果你想要把任意一個正三角形完全覆蓋住,
你可以單純的移動(不可旋轉)其他三角形即可作到.
請問至少螢幕上要有幾個正三角形才能保證如此?
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我想題目的意思是 例如現在有一個"朝上的"正三角形 另一個朝下的
(像電梯上下樓的按鈕那樣)
顯然沒辦法用朝下的不旋轉而完全覆蓋朝上的正三角形
如果再多加一些"朝向不同方向(旋轉過的)"的正三角形 用他們"合力"覆蓋或許就有可能.
那麼至少要有幾個正三角形 才能保證不管他們朝向什麼方向 都可以辦的到?
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