Julia Morphism

Continuous morphing of the Julia set boundary as the complex parameter c(t) traces a closed loop through the Mandelbrot parameter space.

60 FPS • Canvas 2D

Click + Drag to interact with field

Live Parameters

Morph Velocity 0.4

Parameter space orbit speed

Max Iterations 24

Fractal escape depth

65 chars high

Analytical Equation

z_{n+1} = z_n^2 + c(t), \quad c(t) = -0.8 + 0.15 e^{i \omega t}

Compact Formula

z = z² + (-0.8 + 0.15 e^(iωt)), iter_escape = min(k | |z_k| > 2)

Renderer Logic

const tempX = zx * zx - zy * zy + cr;
zy = 2 * zx * zy + ci;
zx = tempX;
iter++;

Open in Playground Zero Dependencies • Standalone

#fractal #julia-set #complex-numbers #chaos #mandelbrot #experimental

Author: Math Art Core Target: 60 FPS