8 citations · 13 across the 2 of their papers we have counts for
3 papers
Tiling Billards on Triangle Tilings, and Interval Exchange Transformations
Paul Baird-Smith, Diana Davis, Elijah Fromm +1
We consider the dynamics of light rays in triangle tilings where triangles are transparent and adjacent triangles have equal but opposite indices of refraction. We find that the be…
The Generalized Zeckendorf Game
Paul Baird-Smith, Alyssa Epstein, Kristen Flint +1
Zeckendorf proved that every positive integer can be written uniquely as the sum of non-adjacent Fibonacci numbers; a similar result, though with a different notion of a legal…
The Zeckendorf Game
Paul Baird-Smith, Alyssa Epstein, Kristen Flint +1
Zeckendorf proved that every positive integer can be written uniquely as the sum of non-adjacent Fibonacci numbers. We use this to create a two-player game. Given a fixed integ…