Chaos Mandlebrot v3.0.1

Julia Set (c)

Visual Control

Color Palette

Resolution Quality

Bifurcation Plane 50%

Brightness 1.0

Opacity 30%

Flatten (2D) 0%

Density 1M

State Management

Load JSON

Selected Orbit

Re(c): 0.00

Im(c): 0.00

...

(Click for Audio)

Chaos Dashboard

Bifurcation Diagram

Interactive Cobweb

r =

Lorentz vs Quadratic

Coeff (k):

Parabola Shapes

Set r:

Controls & Math

Movement (3D):

Rotate: Drag Left Mouse / One Finger
Pan: WASD keys / Arrow Keys / Drag Right Mouse
Zoom: Scroll Wheel / Pinch

New Features (v3.0.1):

Save/Load JSON: Save your visualization state to a file and load it back later.
Brightness Control: Adjust the intensity of the point cloud.

Lyapunov Exponent:

$$\lambda \approx \lim_{N \to \infty} \frac{1}{N} \sum_{n=0}^{N-1} \ln |f'(z_n)|$$

App Version: 3.0.1