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Cardioids in Coffee Cups

Explore the fascinating world of caustics and cardioids in coffee cups, debunking common misunderstandings. Learn about singularities, light patterns, and other places to see caustics. Discover the beauty of math in everyday objects.

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Cardioids in Coffee Cups

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  1. Cardioids in Coffee Cups Dominika Vasilkova (@dragon_dodo)

  2. But according to maths, I’m wrong • With uniformly spaced light – actually a nephroid • Point source gives a cardioid, though.

  3. But cups are 3D…oh no. • I didn’t realise this for an embarrassingly long time.

  4. Other places to see caustics

  5. Thanks for listening! Image credits: https://thatsmaths.com/2014/09/25/curves-with-singularities/ http://www.tankonyvtar.hu/hu/tartalom/tamop425/0038_matematika_Miklos_Hoffmann-Topology_and_differential_geometry/images/caustic_circle.png http://www.singsurf.org/parade/caustics.php http://www.mnn.com/earth-matters/climate-weather/photos/10-stunning-images-of-rainbows-and-their-less-famous-cousins/at http://emerald-stock.deviantart.com/art/Blue-water-light-302043993 http://www.ams.org/news/math-in-the-media/mmarc-07-2003-media#caustics

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