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Results tagged with billiards
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user 25510
Billiards are a class of dynamical systems in which a point particle moves uniformly in a domain $D\subset \mathbb{R}^d$ except for mirror-like reflections from the boundary. Varying $D$ leads to examples satisfying many ergodic properties. Billiards enhance visual explanations of dynamical concepts to students and the general public. There are many applications in physics and image processing. The free motion and/or reflection rule may be generalized.
7
votes
Which polygons have *simple* periodic billiard paths?
Consider the simple polygonal billiard path itself. It is a polygon and it is convex,
because all interior angles are less than $\pi$. Now start with an arbitrary convex polygon.
It is a billiard path …
- 91.8k
36
votes
What "real life" problems can be solved using billiards?
I am very surprised that nobody mentioned the REAL reason why mathematicians are
so much interested in billiards. …
- 91.8k