The Julia can be generated by a quadratic equation in the complex plane. Select a complex number c. Then for a point z in the plane, carry out the iteration,
zn+1 = zn2 + c.
Colour-code the point according to how many iterations are required before its magnitude exceeds any given threshold. Repeat for all z in the region of the plane.
Chat with our AI personalities
doing diophantine equations.
"Julia, may I borrow your eraser?"
Julia Barr is 5' 1".
the name Julia comes from the latin Julius or Julian
The Mandelbrot set is named after Benoît B. Mandelbrot.The Julia set is named after Gaston Maurice Julia.