mathematics

Mandelbrot Set

Zoom into the Mandelbrot set — the most famous fractal in mathematics. This 3D rendering maps iteration count to height, creating a stunning fractal landscape with infinite boundary complexity.

Mandelbrot

A-Level

The Mandelbrot set is the set of complex numbers c for which the sequence zₙ₊₁ = zₙ² + c (starting from z₀ = 0) remains bounded. The boundary is infinitely complex, exhibiting self-similarity at all scales.

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Max Iterations100

📐 Formulas

z_{n+1} = z_n^2 + cMandelbrot recurrence

|z_n| \leq 2 \;\forall nCondition for membership

📋 Syllabus

AQA3.13