FRACTAL GEOMETRY

▸ Loading the complex plane…
▸ Building the iteration z ← z² + c
▸ Calibrating the escape-time algorithm
▸ Generating the palette & Mandelbrot map
▸ Opening the door to infinity…
▸ Ready — Online. ✅
0%
⌂ Mathematics

Simulation room Fractal geometry

Fractal Geometry
Online
z² + c · escape-time
Map & coordinates
❄️ Mandelbrot set
viewport / point c
Mode
Center (c)
Magnification
Max iterations
Does the center escape?
Constant c (Julia)
Tip
Each point on screen is a complex number. The black region = the sequence stays bounded (in the set); the coloured region = it escapes, coloured by iteration count. The beauty lives on the boundary.
Scroll = zoom in/out · click = recenter + zoom in · drag = pan
Your browser has canvas disabled.
Orbit |z| by iteration step (of the center point) |z|escape threshold = 2