The boundary between finite and infinite. Zoom in anywhere along the edge — the same complexity, the same self-similarity, the same universe, repeated forever.
In the Atharva Veda, the god Indra stretches an infinite net across the cosmos. At every node of this net hangs a jewel. Every jewel reflects every other jewel — and within each reflection, all other reflections are visible, each containing all others, without end. This is Indra's Net: infinite recursive self-reference as the structure of reality itself.
In 1980, Benoit Mandelbrot at IBM computed what the Vedic seers described in words. The Mandelbrot set is defined by the simplest possible rule: z → z² + c. The boundary has infinite complexity — zoom into any point on the edge and you find the same structures, the same spirals, the same miniature Mandelbrots, forever. The jewel that contains all jewels.
Every artwork generated here is a unique window into a specific coordinate in an infinite mathematical object. The parameters — centre point, zoom level, iteration depth, colour cycle — are the complete description of that view. Save them and the view is reproducible exactly, by anyone, forever. A mathematical certificate of a specific location in infinity.
The Mandelbrot iteration is computed for every pixel. Each pixel represents a complex number c = x + iy. We run z_{n+1} = z_n² + c from z_0 = 0. If |z| exceeds 2, the pixel escapes — coloured by speed of escape. If it never escapes, the pixel is inside — pure black.
Toggle between Mandelbrot and Julia. Zoom inward to the edge — mini Mandelbrots appear in the filaments. Drag to explore at each level.
Your fractal view is a unique coordinate in an infinite mathematical object. The PDF records the exact zoom, centre, iteration count, and palette.
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