Animation Pack
3 seamlessly looping fractal animations - two continuous inward minibrot-style zooms plus a smooth Julia parameter morph. Designed to keep revealing recognizable fractal structure in motion.
Price
$12.00
Secure payment via PayPal · Instant download · Personal license
About the craft
Every piece in this bundle is rendered from real mathematical equations — no AI, no procedural noise filters, no stock libraries. Generated frame by frame from the underlying systems by a small studio of mathematicians and engineers.
Included
The mathematics
The Mandelbrot set and its companion Julia sets live in the complex plane at the edge of order and chaos. For each complex number c, iterate z → z² + c starting from z = 0: if the sequence stays bounded, c belongs to the Mandelbrot set; otherwise, the escape speed colors the surrounding fractal boundary. Julia sets fix c and vary the starting point, producing connected dust, dendrites, or solid regions depending on where c lies. Both reveal infinite self-similar detail at every zoom level — you can keep magnifying forever and the structure keeps renewing itself. Every image in this collection is computed at high iteration depth with smooth-iteration coloring, so the gradients you see correspond exactly to how fast each point escapes.
z_{n+1} = z_n² + c, escape when |z| ≥ 2
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