How to draw ∞? Make a three-bar linkage with length ratios 1:√2:1 and the ends fixed at distance √2 apart. As white rods go around, the midpoint of the longer bar traces a curve called Bernoulli's Lemniscate. It's infinitely nice! [Wiki bit.ly/2sFDUaS] #50FamousCurves
Fun fact: The word "lemniscate" comes from the Ancient Greek λημνίσκος (lēmnískos) meaning "ribbon". #50FamousCurves 
How to draw ∞?
1) Take the unit sphere S: x²+y²+z²=1.
2) Draw the hyperbola H: x²-y²=a² in the (x,y) plane.
3) Project H to S by shining light from the North Pole (0,0,1).
4) Turn the curve on S upside down.
The rotated curve projects to Bernoulli's lemniscate.
#50FamousCurves
1) Take the unit sphere S: x²+y²+z²=1.
2) Draw the hyperbola H: x²-y²=a² in the (x,y) plane.
3) Project H to S by shining light from the North Pole (0,0,1).
4) Turn the curve on S upside down.
The rotated curve projects to Bernoulli's lemniscate.
#50FamousCurves
I've been looking at this for like 5 minutes now... it's so satisfying to watch. Behold the infinite l∞p! #50FamousCurves
Fun fact: Bernoulli's lemniscate is hiding in tori. If you slice a torus that has 2:1 major-minor radius ratio with a plane that touches its inside and is parallel to the axis you get a lemniscate of Bernoulli. #50FamousCurves
How to draw Bernoulli's lemniscate?
1) Draw a rectangular hyperbola with centre O.
2) With any point P on the hyperbola as centre & with radius PO draw a circle.
3) Repeat 2) for many times for different positions of P.
The envelope of the circles is a lemniscate.
#50FamousCurves
1) Draw a rectangular hyperbola with centre O.
2) With any point P on the hyperbola as centre & with radius PO draw a circle.
3) Repeat 2) for many times for different positions of P.
The envelope of the circles is a lemniscate.
#50FamousCurves
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