FRACTALENGINE ____________________ NOTE - Most fractals will look similar if you use numbers with an absolute value larger than 1! This is a fractal generator that lets you explore complex dynamics using an engine powered entirely by Scratch. FractalEngine is built to visualize a fractal called a Julia Set, generated by repetitively applying this formula to complex numbers: Z = Z^x + C In this equation, Z is a complex number made from X and Y screen positions. C is a constant complex number (Chosen by you!) The higher the exponent, the more extreme the fractals will become. By changing the values of C, you create different fractal patterns — Circles, spirals, and much, MUCH more. -- Notable Julia Sets -- Try these values for C to create some wild Julia sets! Use formula Z^2+C for these fractals: (Note: type 1 when it asks you to choose function from list function. This automatically sets the function to Z^2+C.) C real: -0.8 C imaginary: 0.156i C real: 0.355 C imaginary: 0.355 C real: -1 C imaginary: 0 C real: 0 C imaginary: 0 (This creates a perfect circle and is the only exception to the infinite repitition rule.) C real: 0.285 C imaginary: 0 C real: -0.4 C imaginary: 0.6 -- CHANGELOG -- 1.0 - Initial release. 1.1 - Implemented repetitive requests. 1.2 - Implemented a feature that fills the requested forms at random. On the first request, type "rand", and it will auto-fill everything for you. 1.3 - Implemented color schemes: 1 - Classic - The first color scheme used during the first release and earlier development stages. The color cannot be changed, unfortunately. 2 - Colorful - The only available color scheme after its final implementation - 1.1. 1.4 - Implemented function Z^4 + C. Beware, this makes extremely wild fractals, and takes extremely long to render. Be careful out there, kids! 1.5 - Refreshed logo, and added 3 new fractal viewing color schemes. 3 = Fire ||| 4 = Voidcore ||| 5 = Vibrance Green. Have fun! 1.55 - Changed the entry jingle, updated the logo, and made a few performance improvements. The legacy jingle may still be found in the project's files. ------------------------------------- Tags #All #Games