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Jan 09 2014
Pebbling a Chessboard
This started here, a video from Numberphile (your new favorite math channel! =P) by Zvezdelina Stankova. This game is also called "Free the Clones" I think, according to her. You don't have to watch the entire thing and you can of course skip this post if you're not into games or math, but watch a bit to get an idea of how the game works. It's simple and fun. Here is a quick version I coded so you can try to find a solution to "free the clones" yourself (make sure scripts are on if you have a script blocker). Click a pebble to play (refer to video for rules):

They say it is impossible, that there are no solutions, because someone proved mathematically that the clones cannot be freed. This GIF shows my step-by-step solution - you can judge for yourself.

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