BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

The Plaid model, outer billiards, and Truchet tilings Schwartz, Richard

Description

I'll explain a combinatorial model, which I call the plaid model. For each rational parameter, the construction produces a finite union of embedded polyhedral surfaces in a cube. When the surfaces are sliced in one direction, the resulting curves encode the dynamics of outer billiards on kites. When the surfaces are sliced in other directions, they give the same families of curves (up to isotopy) as those produced by Pat Hooper's Truchet tile system.

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International