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fermatslibrary's profile
Fermat's Library
Fermat's Library
Fermat's Library
@fermatslibrary

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Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: https://fermatslibrary.com/librarian 

fermatslibrary.com
Joined September 2015

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    Fermat's Library‏ @fermatslibrary Apr 16
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    • Report NetzDG Violation

    Perfect Square: a square which can be dissected into a number of smaller squares with no two equal. In a *simple* perfect square no subset of the squares forms a rectangle. There is a unique simple square of order 21 (the lowest possible order) - composed of 21 squares. 🧐pic.twitter.com/eIpL1Pctwo

    6:23 AM - 16 Apr 2020
    • 390 Retweets
    • 1,785 Likes
    • Adarsh Srivastava Mayur 36derece Omar tyler Nabila fatema Vic clarke Jadin Johnson
    13 replies 390 retweets 1,785 likes
      1. New conversation
      2. Mohamar Rios Flores‏ @MohamarF Apr 16
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        Replying to @fermatslibrary

        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

        1 reply 2 retweets 44 likes
      3. Shardul Heda‏ @ShardulHeda Apr 16
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        Replying to @MohamarF @fermatslibrary

        That's how they found some smaller ones I think. There was a numberphile video about it anyways

        2 replies 0 retweets 8 likes
      4. 4 more replies
      1. Ujjayanta Bhaumik‏ @I_m_Jojo Apr 16
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        Replying to @fermatslibrary

        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

        0 replies 0 retweets 7 likes
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      1. Rey‏ @Rey_Skywalker8 Apr 17
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        Replying to @fermatslibrary

        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

        0 replies 0 retweets 5 likes
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      1. New conversation
      2. یک‌مریم‏ @yekmaryam Apr 16
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        Replying to @fermatslibrary @DrRafaelPG

        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 🤔

        1 reply 0 retweets 2 likes
      3. رافائل سیگنال ناین‏ @DrRafaelPG Apr 16
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        Replying to @yekmaryam

        pic.twitter.com/casiDHvgxP

        0 replies 0 retweets 2 likes
      4. End of conversation
      1. Roger Sauer‏ @rsauer3473 Apr 16
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        Replying to @fermatslibrary

        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.

        0 replies 0 retweets 3 likes
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      1. New conversation
      2. 𝚃𝚑𝚊𝚍 𝙷𝚊𝚛𝚛𝚘𝚞𝚗‏ @ThadHarroun Apr 16
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        Replying to @fermatslibrary

        I assume that in a simple perfect square there is only one unique packing of the sub-squares?

        1 reply 0 retweets 1 like
      3. FlatPanda‏ @AFulgens Apr 16
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        Replying to @ThadHarroun @fermatslibrary

        If you count morphisms like rotation by 90 degrees and mirroring as the same, then maybe. I cannot find a proof though.

        0 replies 0 retweets 2 likes
      4. End of conversation
      1. Dr. Game-Over‏ @h0mer_0s Apr 16
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        Replying to @fermatslibrary

        what year is it ? are 😶liens on earth ? 👏

        0 replies 0 retweets 0 likes
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