run in turbo mode https://turbowarp.org/964042490?turbo&hqpen&size=500x400 supports any stage size up to 4000x4000 please do not turn fencing off unless you like it when your processing power is wasted on things you can't see Controls: arrow keys to move i/+ to zoom in o/- to zoom out r to reset (it has to be held for at least a second, you can also reset sliders to their default settings by holding r and clicking them) wasd to change X and Y offset (will also change the map to represent offset instead of your position) click the visualizer to snap to that position h for orbit mode j to get the Julia set at the current position Settings: Fractal Formula - The formula used, changing this will change which fractal you are looking at. Formula Type - Determines how that formula is calculated, as Scratch does not allow for complex numbers, it has to be calculated a different way. x,y - multiplication on X and Y, this formula is the fastest, but it doesn't properly support exponents, use if you just want the ^2 fractals. r,θ - uses trigonometry, slower but allows for exponents (including complex exponents!) Image Quality - The amount of pixels in the image, 1 = 150x150 Z Offset - The offset of Z, while it's normally 0, you can change it to whatever you want! For the Julia set, Z Offset will control C instead. Iterations - How many times to run the formula, increasing this will make the image higher quality, but take longer to generate. Exponent - The power used in the equation. For the X set, Exponent will control C instead. Parameterization - Mandel - C is set to the pixel, Z and E can be customized. Julia - Z is set to the pixel, C and E can be customized. X - E is set to the pixel, Z and C can be customized. Distance - How far away an orbit needs to go from the center before it is considered "lost" and calculation ends. Render Style - Determines what process is used to render the fractal Regular - Black if a point shoots off to infinity, otherwise color it. Anti-Buddha - Stamp each spot an orbit landed if it didn't shoot off to infinity. Buddha - Stamp each spot an orbit landed if it shot off to infinity. Inverted - Instead of adding by C, add by 1/C. Color Mode - TBA
2swap for the idea of the X-set option Benoit Mandelbrot for like discovering the Mandelbrot idk V2.5.1 fixed a bug where the tricorn didn't render anything in x,y mode V2.5 added a new fractal, sized down fractal buttons to support up to 12 of them without needing a dropdown. V2.4 added Inverted rendering type v2.3.1 r now has to be held to reset view v2.3 Exponent sliders now change the C in X-set mode. Setting names now properly update with Parameterization to be more accurate. v2.2 - Fixed a bug where decimal and complex exponents did not render correctly - Orbit mode now respects your X and Y position v2.1 - Added Distance and Render Type settings v2 - Fixed Mandelbrot rendering problems #fractal #mandelbrot #complex #complexnumbers #math