Devil's curve
Devil's curve for a = 0.8 and b = 1.
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
External links
- MathWorld – Devil's Curve
- The MacTutor History of Mathematics (University of St. Andrews) – Devil's curve
This article is issued from Wikipedia - version of the 1/26/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.