Fractal Generator
Explore the beauty of mathematical patterns
Fractal Settings
General Parameters
100
-2.0
1.0
-1.5
1.5
Mandelbrot
The classic Mandelbrot set, showing the boundary between bounded and unbounded values in the complex plane.
Burning Ship
A variation of the Mandelbrot set that uses absolute values, creating a ship-like appearance.
Julia
Similar to Mandelbrot but with a fixed complex parameter, creating unique patterns for different values.
Tricorn
A three-cornered variation of the Mandelbrot set, also known as the Mandelbar set.
Phoenix
A variation that uses a previous value in its calculation, creating complex patterns.
Collatz
Based on the Collatz conjecture, showing the behavior of the sequence in the complex plane.
Newton
Uses Newton's method for finding roots, creating basins of attraction.
Nova
A cubic variation that creates more complex patterns than the standard Newton fractal.
Lyapunov
Shows chaotic behavior through the Lyapunov exponent, creating intricate patterns.
Mandelbox
A 3D-like fractal that uses box and sphere folding operations.
Celtic
Creates Celtic knot-like patterns with intricate interweaving structures.
Buffalo
A hybrid of Burning Ship and Mandelbrot, creating unique geometric patterns.
Heart
Generates heart-shaped patterns with complex internal structures.
Perpendicular Burning Ship
A variation of the Burning Ship with perpendicular components.
Perpendicular Celtic
A variation of the Celtic fractal with perpendicular components.