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See the Reuleaux triangle drill a square hole:
   • How to Drill a Square Hole  

See the Mobius Strip Script for Alibre:
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0:00-Introduction
0:24-Brilliant!
1:46-Ruleaux Triangle
4:56-Mobius Strip
9:11-Klein Bottle
20:40-Hexisphericon

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This video is sponsored by Brilliant.