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Optimized Rolling Knot

Optimized Rolling Knot

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A digital file for 3D printing a small tritangentless trefoil knot. 

This model has been mathematically optimized for rolling, based on our work in this paper: Optimizing Morton's Tritangentless Knots for Rolling.

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  • Licensing

    This digital download is available under a Creative Commons Attribution-NonCommercial license. You may not sell digital copies or physical prints of this model online or use it for commercial purposes.

  • Friendly Use

    People are free to print this model to give or sell to local friends, schools, and craft fairs in person, wtih attribution to "mathgrrl". For additional permissions please contact

  • 3D Printing Tips

    This model prints well in bulk, multiple copies at a time. We suggest printing with a small raft and minimal supports; do some test prints to find settings that make supports easy to remove.