The Mandelbrot and Mandelbar escape time fractals are instances of a more general fractal with four parameters, p, q, s, t . The Real Mandel is defined by
(x,y)=(r cos theta, r sin theta) --> (r^s cos p theta, r^t cos q theta). For s=2, t=2, p=2, q=2 we get the Mandelbrot set, and with q=-2 we get the Mandelbar set. In this animation q went from 2 to -2 while the other parameters were held at 2.
The Mandelbrot and Mandelbar escape time fractals are instances of a more general fractal with four parameters, p, q, s, t . The Real Mandel is defined by
(x,y)=(r cos theta, r sin theta) --> (r^s cos p theta, r^t cos q theta). For s=2, t=2, p=2, q=2 we get the Mandelbrot set, and with q=-2 we get the Mandelbar set. In this animation q went from 2 to -2 while the other parameters were held at 2.
jstarret 1 year ago