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graveolens's profile
Owen Maresh
Owen Maresh
Owen Maresh
@graveolens

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Owen Maresh

@graveolens

Mathematics Sorceror (sensory alchemist) at the Arctangent Transpetroglyphics Algra Laboratory (ATAL), I transmute mathematics into living rainbows.

somerville, ma
owen.maresh.info
Joined April 2010

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    1. Greg Egan‏ @gregeganSF 20 Sep 2019
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      [1/3] Here at Dehn’s Bakery, we bake all our cakes as perfect cubes. Of course, some customers prefer other rectangular prisms, and this morning we received an order for a cake with edges in the ratios 1:e:π. No problem! We just cut one of our cubes into these 28 pieces ...pic.twitter.com/3HqhZO6Ef9

      6 replies 50 retweets 206 likes
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      Owen Maresh‏ @graveolens 21 Sep 2019
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      Replying to @gregeganSF

      Do you have a description of each of the polyhedra this decomposition consists of I could play with, please?

      4:05 AM - 21 Sep 2019
      • 2 Likes
      • Kranzi Kranzhuber Miche JC
      1 reply 0 retweets 2 likes
        1. New conversation
        2. Greg Egan‏ @gregeganSF 21 Sep 2019
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          Replying to @graveolens

          Greg Egan Retweeted Greg Egan

          The description is in the 3rd tweet in the thread. With that recipe, you can construct the pieces for any edge ratios you like. The 2D dissections between rectangles of different ratios are shown here: https://twitter.com/gregeganSF/status/1174909329981358086 … illustrated with square/rect, but generalise easily.

          Greg Egan added,

          Greg Egan @gregeganSF
          [1/3] Here’s a dissection of a square into pieces that reassemble as a rectangle of any proportions [with the same area]. As @Ykulvaarlck pointed out in a comment to my previous thread, the construction I gave had some redundant cuts; here those cuts have been removed. pic.twitter.com/9O3S3jqVWc
          Show this thread
          1 reply 1 retweet 5 likes
        3. Owen Maresh‏ @graveolens 21 Sep 2019
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          Replying to @gregeganSF

          thank you

          0 replies 0 retweets 2 likes
        4. End of conversation

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