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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. Owen Maresh‏ @graveolens Mar 15
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      @Sabetta_ @Gelada can some number of hyperbolic helicoids be assembled into Platonic solid configurations so that spiral centers correspond to vertices?

      1 reply 0 retweets 0 likes
    2. Edmund Harriss‏ @Gelada Mar 16
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      Replying to @graveolens @Sabetta_

      In this setting wouldn’t each “face” be only able to have one vertex.

      1 reply 0 retweets 0 likes
    3. Owen Maresh‏ @graveolens Mar 16
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      Replying to @Gelada @Sabetta_

      Take the vertices of a tetrahedron -- I think I was thinking of the tattoo image, start with hyperbolic helicoids between pairs of vertices, and the two fitting together (maybe touching or deforming one another like modular paper art)

      1 reply 0 retweets 0 likes
    4. Owen Maresh‏ @graveolens Mar 16
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      Replying to @graveolens @Gelada @Sabetta_

      all Platonic solids have an even number of vertices, so take pairs of them and link with hyperbolic helicoids (maybe they all have uniform charge distributions so repel one another?)

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      Owen Maresh‏ @graveolens Mar 16
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      Replying to @graveolens @Gelada @Sabetta_

      and each helicoid might be distorted a little bit to make room for the others it's intercalated with. ... weaving with rotini

      8:20 AM - 16 Mar 2020
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        2. Edmund Harriss‏ @Gelada Mar 16
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          Replying to @graveolens @Sabetta_

          I would love to see the object you describe! Though as soon as you distort the surfaces they are no longer really helicoids.

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        3. Daniel Piker‏ @KangarooPhysics Mar 16
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          Replying to @Gelada @graveolens @Sabetta_

          Not quite the same thing, but you might like these animations of some assemblies of locally helicoid-like surfaces from Ken Baker https://sketchesoftopology.wordpress.com/2008/11/24/the-jvhm-open-book/ …pic.twitter.com/qpJ2pCsnmg

          3 replies 1 retweet 9 likes
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