Title: Unusual Surroundings for a Mandelbrot Post by: element90 on July 03, 2013, 11:25:37 AM A sequence of zooms leading to a Mandelbrot island, not in the standard Mandelbrot set. (https://copy.com/cUiTAFdC691h) (https://copy.com/7DHL4pI8iDGN) (https://copy.com/Fkjn01UBkYbc) (https://copy.com/uNehCQPP7R7v) https://copy.com/cUiTAFdC691h (https://copy.com/cUiTAFdC691h) https://copy.com/7DHL4pI8iDGN (https://copy.com/7DHL4pI8iDGN) https://copy.com/Fkjn01UBkYbc (https://copy.com/Fkjn01UBkYbc) https://copy.com/uNehCQPP7R7v (https://copy.com/uNehCQPP7R7v) Formula: z = transform(z) z = alpha(beta*z^gamma + delta*z^epsilon) initial z = 1 alpha = location in the complex plane beta = -2.5 gamma = -2 delta = 1 epsilon = -5 Two transform sets: A - empty B - inverse fold out (circle diameter = 2.5) Transform sequence AB i.e. the transform sets are applied on alternate iterations. Colour method is absolute log of exponential inverse change sum |