Gerasimov fractal

Gerasimov fractal — new kind of fractals.
Gerasimov fractal
Gerasimov fractal, was described by August 20, 2013 Ukrainian programmer Sergei Gerasimov on the site «Habrahabr».
Construction
We divide the rectangle into cells so that the number of cells in the vertical is equal <math>Q</math>,
and the number of cells in the horizontal is equal to <math>P</math>. Now let out a periodic beam from
angle, with a period of one box. The beam reflected from the boundaries of the rectangle, and disappears
at the other corner . Notable is the fact that the fractal is obtained only on the condition that
<math>Q</math> и <math>P</math> - coprime integers.
Examples
 
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