Periodic billiard paths on regular polygons (Diana Davis)

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Abstract: Mathematicians have understood periodic billiards on the square for hundreds of years, and my collaborator Samuel Lelièvre and I have understood them on the regular pentagon for about five years now. During the COVID-19 pandemic, I have been in France, working with Samuel to extend our understanding to all regular polygons with an odd number of sides. In this talk, I’ll briefly explain results and techniques for the square and pentagon, and then show lots of nice pictures of billiards on polygons with more than 5 sides, that we have created recently.

I made this with a green screen (a.k.a. a tablecloth hanging from an Ethernet cord) and 85 consecutive virtual backgrounds.

A talk for the Nearly Carbon Neutral Geometric Topology conference, June 2020.
  1. Diana Davis
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Комментарии
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With a huge respect this is a strong concept, , one request for you that please make a video on tensor maybe short video...

puneetkumar
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This channel will be boost very soon we r here for ur support 🙏

puneetkumar
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I request you to upload your teaching lectures on real analysis and theory of numbers, it's humble request madam

MANISHKUMAR-tcbs
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Hi Diana, apart from drawing pretty pictures what world applications are there? What return on investment did you offer tax payers who funded your research?

ChauTu