Geodesic
Half-Silvered Mirrors and Wythoff's Game
Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 119-125

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DOI

We propose the following problem. Given an array of vertical mirrors that simultaneously transmit and reflect, and a single incoming ray of light, describe the configuration of all light rays that are generated. We solve the problem here for a certain infinite configuration of mirrors; the solution involves the winning positions (a(n), b(n)) of Wythoff's game.
DOI : 10.4153/CMB-1990-020-3
Mots-clés : 10A32, 10A35, 10F20, 78A05, Secondary 90D42 
Porta, Horacio; Stolarsky, Kenneth B. Half-Silvered Mirrors and Wythoff's Game. Canadian mathematical bulletin, Tome 33 (1990) no. 1, pp. 119-125. doi: 10.4153/CMB-1990-020-3
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     title = {Half-Silvered {Mirrors} and {Wythoff's} {Game}},
     journal = {Canadian mathematical bulletin},
     pages = {119--125},
     year = {1990},
     volume = {33},
     number = {1},
     doi = {10.4153/CMB-1990-020-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1990-020-3/}
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