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Molson_Hart's profile
Molson Hart
Molson Hart
Molson Hart
@Molson_Hart

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Molson Hart

@Molson_Hart

CEO at http://amazon.com/viahart . CEO at http://edisonlf.com . I tweet about business, e-commerce, supply chain, health, law, & infrastructure

Austin, TX
Joined July 2015

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    1. Alexander Bogomolny‏ @CutTheKnotMath 21 Apr 2018
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      A slight modification of a question from the 1987 Hungarian Mathematical Olympiad for 11-year-olds. Just for the weekend https://www.cut-the-knot.org/m/Geometry/CuttingCubeIntoSmallerOnes.shtml … #FigureThat #math #geometrypic.twitter.com/2LMROAg5nu

      12 replies 6 retweets 17 likes
    2. Molson Hart‏ @Molson_Hart 21 Apr 2018
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      Replying to @CutTheKnotMath

      15 = 8 - 1 + 8 20 = 27 - 8 + 1 22 = 8 - 1 + 8 - 1 + 8 45 = 64 - 27 + 1 - 1 + 8

      1 reply 0 retweets 2 likes
    3. Molson Hart‏ @Molson_Hart 21 Apr 2018
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      Replying to @Molson_Hart @CutTheKnotMath

      So, yes, you can cut a cube into 20, 22, 15, and 45 smaller cubes

      1 reply 0 retweets 0 likes
    4. Viral Doshi‏ @viraldoshi 21 Apr 2018
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      Replying to @Molson_Hart @CutTheKnotMath

      This assumes that cubes can be cut and then collected. Which may not be applicable.

      1 reply 0 retweets 0 likes
    5. Alexander Bogomolny‏ @CutTheKnotMath 21 Apr 2018
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      Replying to @viraldoshi

      No, not necessarily. Depends on what cuts are eligible. I have a saw that cuts straight down, in the direction of the blade, not perpendicular to it. Assuming accurate measurements and a complete mastery of the device, one can cut a 2x2x2 cube from a 3x3x3 cube as a whole

      1 reply 0 retweets 0 likes
    6. Molson Hart‏ @Molson_Hart 21 Apr 2018
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      Replying to @CutTheKnotMath @viraldoshi

      As I wrote it, Viral may be right in the case of the 45 cubes. I don't see a way to cut a 2x2x2 cube and 3x3x3 cube from a 4x4x4 cube without "gluing" 1x1x1 cubes together to form larger n^3 cubes.

      1 reply 0 retweets 0 likes
    7. Viral Doshi‏ @viraldoshi 21 Apr 2018
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      Replying to @Molson_Hart @CutTheKnotMath

      Exactly.. I just posted a solution for 15 and 20 cubes.

      1 reply 0 retweets 0 likes
      Molson Hart‏ @Molson_Hart 21 Apr 2018
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      Replying to @viraldoshi @CutTheKnotMath

      You can do 22 without gluing. Cut into 8 cubes then cut two out of 8 into 8. You are left with 2*8+(8-2)=22 cubes.

      9:46 PM - 21 Apr 2018
      0 replies 0 retweets 0 likes

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