These Fractal Tray puzzles are based upon space filling fractal curves. The pattern is a single line that crosses all of two dimensional spacewithout ever repeating.
These puzzles follow these rules to break the line into multiple pieces that are almost identical but actually unique. Once you’ve taken all the pieces out getting them back into the tray is no easy task.
These are laser cut in the UK and each puzzle is 200 x 200mm and 6mm thick with each piece being 3mm thick.
Eight variations are available:
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. This puzzle has 15 unique pieces
Gosper Curve – named after Bill Gosper and also known as the flowsnake. The triangular pattern is reminiscent of a complex snowflake. This puzzle has 14 unique pieces
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 one of the hardest of the puzzles. This puzzle has 17 unique pieces
Terdragon Curve – Computer scientist Donald Knuth is said to have first discovered the Terdragon curve. This puzzle has 16 unique pieces
Peano Curve – The first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890
Wunderlich Curve 1, 2 and 3 – These are all variations of the Peano Curve.