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Permanent link to this puzzle: mscroggs.co.uk/puzzles/135

Source: Gaurish Korpal

Draw with an \(m\times n\) rectangle, split into unit squares. Starting in the top left corner, move at 45° across
the rectangle. When you reach the side, bounce off. Continue until you reach another corner of the rectangle:

How many squares will be coloured in when the process ends?

If you enjoyed this puzzle, check out Sunday Afternoon Maths LX,

puzzles about area, or a random puzzle.

puzzles about area, or a random puzzle.