Devil's curve  From Wikipedia, the free encyclopedia Jump to:
navigation, search Devil's curve for a = 0.8 and b = 1. Devil's
curve with a 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  y^2 (y^2 - a^2) = x^2 (x^2 - b^2).  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]   External links[edit]