There is a totally awesome thing you can do with these squares where you can transform them into an electrical circuit that satisfies Kirchoff's circuit laws.pic.twitter.com/iUbDVqHwB5
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There is a totally awesome thing you can do with these squares where you can transform them into an electrical circuit that satisfies Kirchoff's circuit laws.pic.twitter.com/iUbDVqHwB5
That's how they found some smaller ones I think. There was a numberphile video about it anyways
Related interesting theorem: An integer greater than one can be written as a sum of two squares if and only if its prime decomposition contains no prime congruent to 3 modulo 4 raised to an odd power
Perfect square in equation form
1^2 + 2^2 + 3^2 +… + 24^2 = 70^2
In 3 dimensions, a perfect cube
6^3 + 7^3 + 8^3 +… + 69^3 = 180^3
#math @nattyover
چه جالب، فکر کنم این شبیه همون تجزیه یه عدد به اعداد اوله، که وقتی مربع کامل میشد که اون اعداد اول همه توان زوج داشته باشن 
Nathan DeGroot (age 13) in 1957 won a blue ribbon at the Raspberry County Fair for arranging his boxed succulent garden according to this elegant plan. Sadly, a yellow fly infestation arrived due to underwatering and in the end his mother threw it out.
I assume that in a simple perfect square there is only one unique packing of the sub-squares?
If you count morphisms like rotation by 90 degrees and mirroring as the same, then maybe. I cannot find a proof though.
what year is it ? are
liens on earth ? 
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