Fibonacci Spiral Jigsaw puzzle

Like standard jigsaw puzzles, this puzzle has only one solution, but instead of every piece being a different shape and approximately the same size, every piece is the same shape and a different size. The placement of the pieces is based on the the Golden Angle (~137.5º), and is the same pattern found in Sunflowers, pine cones, and roses, to name just a few. The puzzle has 8 spirals in one direction, and 13 in the other. 8 and 13 are numbers in the Fibonacci series, which is an additive sequence where any number in the sequence is the sum of the previous two numbers in the sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34...

Watch this stop-motion animation, which shows how all the pieces are related to each other:


Step 1: Laser-Cut the Pieces

The puzzle is approximately 22" in diameter. You will need 24"x24" sheet of material to make it. I used MDF for the puzzle, but you could also use plywood, mat board, acrylic, etc. I've attached two different DXF files (which you should be able to open in Adobe Illustrator):

"8-13 puzzle - 22in dia - 6 deep.dxf"
This is the same as the puzzle in the image and video. The pieces get about as small as possible given the kerf of most laser cutters.

"8-13 puzzle - 22in dia - very deep.dxf"
This has many more (smaller!) pieces. I've provided it in case you want to just print an image of the puzzle, or want to scale up the puzzle.
Fibonacci Spiral Jigsaw puzzle
8-13 puzzle - 22in dia - 6 deep.dxf198 KB
Fibonacci Spiral Jigsaw puzzle
8-13 puzzle - 22in dia - very deep.dxf757 KB
 
 

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