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The figure of the maximum area that can swim through the channel

I would like to support the tradition of joint solution of interesting problems and offer one of my favorite tasks.



UPD_4. The solution I knew was found by wirzus , the best solution at the moment found by the collective mind :) Special thanks to Laplace and Lockal .



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A channel has been dug that doubles at a 90 degree angle. The width of each section of the channel is 1 meter.

Obviously, a raft of 1 meter by 1 meter can float along the channel (friction against the walls can be neglected). The task is considered on the plane.

It is required to find a larger area figure that can also overcome the channel.

I propose to write my own solutions in which the area is larger than 1 m 2 or, respectively, of the previous best solution. When you find a solution known to me, I will write.

Ready to answer your questions in the comments.

Good luck!


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Source: https://habr.com/ru/post/120930/



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