Conway’s Checkers

Conway’s Checkers

Suppose you take the infinite square lattice and put solitaire pieces on all points (x,y) that lie on or below the x-axis. Using solitaire moves, can you reach a position where the point (0,5) is occupied?

Note: A solitaire move consists in a piece jumping over a neighbouring piece to a vacant square and removing (or "taking") the neighbouring piece.

You can attempt this challenge interactively here.

Hint: if you can’t get there, don’t feel too bad about it.

This puzzle is attributed to J H Conway.

Spoilers

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