The accessible introduction to 2swap’s outer-billiards video describes moving an exterior point an equal distance past its contact point with the table, producing periodic orbits and singularities. Patterns change with polygon shape; the introduction discusses Richard Schwartz’s 2007 proof of an unbounded orbit for the Penrose kite. It then extends square tiling in the Euclidean plane to pentagons in hyperbolic space, without claiming that all outer-billiards questions are solved. This summary relies on the verified introduction; the video body and a separate related explanation could not be retrieved directly.