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Using a geometric shape called a Reuleaux

Using a geometric shape called a Reuleaux triangle, it’s possible to drill square holes. Click through for all the exciting math!

Update: A video of a Reuleaux triangle rotating in a square. (thx, will)

Update: More on the Reuleaux triangle at MathWorld. (thx, nevan)

Update: The Reuleaux triangle is also the basis for the Wankel engine.. (thx, brian & adam)