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Sierpinski triangle (XOR) jigsaw pieces
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Identical jigsaw pieces that can be fit together to produce patterns based on an XOR such as Sierpinski triangles
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution — Share Alike
Identical copies of this jigsaw piece, based on a hexagon, can be fit together at 120° rotations to implement an XOR function between neighbors, as shown:
If you start with a single piece with an output of 1 (2nd or 3rd above) and continue down row by row, you will construct a Sierpinski triangle like the following:
Alternatively, you can being with other starting states. You will always get patterns with empty regions that are either circular holes or larger triangles.