Ooh, this is so cool, part of my PhD was on the topology of liquid crystal textures like these! The LC's in this movie are in the "cholesteric nematic" phase: the molecules are rod-shaped and like to line up with each other with a "twist", wiki: https://en.wikipedia.org/wiki/Cholesteric_liquid_crystal … 1/nhttps://twitter.com/vancew/status/1087870532911955968 …
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which makes it less sensitive to noise and thus applicable to the messy real world! Here's a donut computed from data from a double-twist loop, and also two views of a toron. The toron's surface is a rainbow-striped beach ball, and the points at the top and bottom where the 10/npic.twitter.com/mYjEdiGfTj
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rainbow colors collide correspond to the hedgehog defects. Now, to turn a toron into the double-twist loop, open up the defects into holes, and then pull the holes together through the middle and glue into a donut! Much easier to visualize and it's topologically the same. 11/npic.twitter.com/9VhDed3jzs
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To read more on this, see this nice summary of our work by Miha Ravnik: https://physics.aps.org/articles/v6/65 (a link to our paper is there too) and this more recent article on some wild new textures that Paul and Ivan found called "twistions": https://phys.org/news/2017-02-never-before-seen-topological-solitons-experimentally-liquid.html … 12/13
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To summarize, (1) liquid crystals are awesome, (2) topology is awesome, and (3) you should follow
@vancew to see more beautiful pictures and movies! Thanks for reading my first thread! 13/13 oh god it's been years, i'm just a theorist, i hope i haven't misinterpreted the movie...Prikaži ovu nit
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