Physics Lab

Fractals & Chaos

Explore self-similar patterns emerging from chaos. Visualize Mandelbrot, Julia, Newton fractals and the legendary Chaos Game.

Iterated Function System (IFS)

Start at a random point and repeatedly apply random transformations. A fractal emerges from the chaos!

IFS Preset

Iterations (millions) 2.0M

Color Scheme

Speed

Points Plotted

Generations

Time (ms)

The most famous fractal: z = z² + c. Click+drag to zoom, right-click to zoom out. Double-click to zoom in on a point.

Max Iterations 128

Color Scheme

Zoom Level

Preset Locations

Center (Re)

-0.5

Center (Im)

Zoom

Same formula as Mandelbrot, but fix c and vary z. Drag the c point on the mini Mandelbrot map to explore different Julia sets.

Max Iterations 128

Color Scheme

Julia Preset (c value)

Animate c Value

c Value (Mandelbrot)

c = -0.7+0.27i

c (Real)

-0.7

c (Imag)

0.27

Newton's method for z³ - 1 = 0. Colors show which root each point converges to. Stunning spiraling boundaries!

Max Iterations 64

Polynomial Degree (n in z^n - 1)

Color Scheme

Zoom Level

Polynomial

z³ - 1

Roots