Devil's curve
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File:Devils curve a=0.8 b=1.svg
Devil's curve for a = 0.8 and b = 1.
File:Devils curve a=0.0-1.0 b=1.svg
Devil's curve with 
ranging from 0 to 1 and b = 1 (with the curve colour going from blue to red).
ranging from 0 to 1 and b = 1 (with the curve colour going from blue to red).In geometry, a Devil's curve is a curve defined in the Cartesian plane by an equation of the form
Devil's curves were studied heavily by Gabriel Cramer.
The name comes from the shape its central lemniscate takes when graphed. The shape is named after the juggling game diabolo, which involves two sticks, a string, and a spinning prop in the likeness of the lemniscate. The confusion is the result of the Italian word diavolo meaning 'devil'.[1]
References
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<references />, or <references group="..." />External links
- MathWorld – Devil's Curve
- The MacTutor History of Mathematics (University of St. Andrews) – Devil's curve
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