Four pegs begin at the corners of a unit square on a grid having integer coordinates. At any time one peg may jump a second peg along any straight line and land an equal distance on its other side. The jumped peg remains in place.
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Is it possible to maneuver the pegs to the corners of a larger square?
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bonanova
Four pegs begin at the corners of a unit square on a grid having integer coordinates. At any time one peg may jump a second peg along any straight line and land an equal distance on its other side. The jumped peg remains in place.
+ + + + + + + + + + + +
+ + + + + + + + + + + +
+ + + + + + + + O + + +
+ + + O O + ==> + + + O O +
+ + + O O + + + + O + +
+ + + + + + + + + + + +
Is it possible to maneuver the pegs to the corners of a larger square?
+ + + + + +
+ O + O + +
+ + + + + +
+ O + O + +
+ + + + + +
+ + + + + +
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