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STRUCTURES Blog | Mathematical Billiards

Hacker News·1 day ago
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#structures#billiards#mathematics#geometry#article#ama
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by Lael Shelton Costa on January 10, 2024   |   Discuss on: What's that structure? Do you enjoy a game of pool or billiards? I certainly do; I find it very satisfying to pocket a ball with a complicated shot following several bounces. I’m not a very skilled player, though, so I miss a lot of shots. Luckily, I can blame these failures on friction and inelasticity in the collisions, or on the unexpected interference of a different ball. You can imagine my relief when I learned of the existence of mathematical billiards! In this post, I will describe several varieties of mathematical billiards and discuss how I use computer experiments to make progress in studying these games. The images you see partially come from Geogebra and from a piece of software I created and host on my website. More on that later; let’s dive into the first game.…

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