立方体问题 [英] Cube problem

问题描述

有人可以指导我如何解决这个问题吗?

http://petr-mitrichev.blogspot.com/2009/10/hard-problem-ten-years-later.html [ ^ ]

could some one guide me how can we fix this ???

http://petr-mitrichev.blogspot.com/2009/10/difficult-problem-ten-years-later.html[^]

推荐答案

我认为您应该尝试在 ^ ]论坛.您可能在那里有更好的答案来采用这种方法，一旦有了想法，便可以重新讨论实现方法.

也许我完全错了，或者我的选择无法通过数学方法解决(长时间不使用代数和向量空间)，但是考虑到一个立方体的边长相同，并且四个相邻点的边彼此垂直(V12与V14和V15)
然后您可以尝试:
获得沿Z方向穿过每个点Xa，Ya的直线的垂线，然后尝试求解球的垂线系统，假定S1(沿线L1的球)必须切入L2和L5，S3必须切入L2.与L7和S6相同的点必须在与先前相同的点上剪切L5，L2和L7.那将为您提供一半的立方体.
然后，您可以在另一侧进行相同操作，或者尝试查找与以前建立的点成90度和45度角的线，这些点沿其他垂直线在同一坐标中相交.

I think you should give a try in the Algorithms[^] forum. You may have better answers there to get the approach and once you have the ideas, then reask about the implementation.

Maybe I''m totally wrong or my option can not be resolved mathematically (long time without using algebra and vector spaces), but considering that a cube has same side length, and sides of 4 adjacent points are perpendicular to each other (V12 with V14 and with V15)
Then you could try:
Get the ecuation of the line that goes through each point Xa,Ya along the Z-direction and then try to solve an ecuation system of spheres assuming that the S1 (sphere along line L1) must cut L2 and L5, S3 must cut L2 in the same point and L7, and S6 must cut L5, L2 and L7 in the same points as the previous ones. That would give you the half of the cube.
Then you can do the same for the other side, or try to find lines with 90 and 45 angles parting of the previously founded points that intersect in the same coordinates along the other vertical lines.

谢谢，我已经完成了大部分的计算，我的数学不好，但是谷歌是我的朋友.我面临的问题是找到能以最佳方式形成立方体一个面的硬骨鱼.谢谢.

thanks, i have done most of the calculations, i am not good in maths, but google is my friend. the problem i was facing is to find the coordiantes that will form one face of the cube in a optimal way. thank you.

感谢4的回复.自最近几个小时以来，我一直在努力解决这一问题.而且我实际上不需要任何特定语言的答案，如果可能的话，我只需要一个即可指导我.您可以指出解决该问题的方法，而不必指出很多错误，这对您很有帮助.任何方式都再次感谢您的答复.

取得了一些进展，现在我可以确定方形了(我会说矩形)，但是问题是如何找到每个矩形的坐标?

thanks 4 the response. I am trying to solve this since last few hrs. and i do not actually need an answer in any specific language, i just need some one to guide me, if at all posible. and instead of pointing out so many mistakes, u could have mentioned the approach to solve this problem, that would be very help full. any ways thanks again for the response.

made a bit progress on it, now i can determine the sqaures(i shld say rectangles) but the problem is how to find the coordiantes for each rectangle??

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