The Illumination Problem - Numberphile

Featuring Professor Howard Masur from the University of Chicago. Filmed at the Mathematical Sciences Research Institute (MSRI). Part 2 of this interview: https://youtu.be/AGX0cLbHaog Patreon:...

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I want to talk about a problem inmathematics called billiards studybilliards and talk about maybe a coupleof aspects of that these are calledpolygonal billiards you have some figurein the plane maybe it has straight sidesor maybe not.You can either think of this asbilliards or you could think of thisas a room where the sides of the room havea mirror started a point and we move ina straight line starting at the pointuntil we come to the side and then webounce off the side with the angle ofreflection equal [to] the angle of incidence soThese two angles are the same and thenwe continue till we hit to another side webounce off where the angle of incidenceequals the angle of reflection and soforth when you get into a corner there'sno way of saying what reflection m...
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