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SKU 00005

£15.00

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Fractal tray puzzles are high quality wooden puzzles based upon space filling fractal curves. The pattern is a single line that crosses all of the two dimensional space without ever repeating. The puzzles follow these simple rules to break the line into multiple pieces that are almost identical but are actually unique. The pieces are so similar in style that once they are placed into the puzzle it is hard to see where the pieces are. The puzzles can be tricky to solve even if you have the solution on hand.

There are 4 space filling curves that lend themselves well to this type of puzzle.

- The Hilbert Curve: first described by the German mathematician David Hilbert in 1891. A square space filling pattern drawn to it's 6th iteration. This is the easiest of the three puzzles.

- The Gosper Curve: named after Bill Gosper and also known as the flowsnake. The triangular pattern is reminiscent of a complex snowflake.

- The Dragon Curve: first investigated by NASA physicists John Heighway, Bruce Banks, and William Harter. It's rounded flowing pattern and nearly identical pieces make it the hardest of the three puzzles.

- The Terdragon Curve: Computer scientist Donald Knuth is said to have first discovered the Terdragon curve.

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