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Beginner-friendly guides to the Mandelbrot set, Julia sets, fractal coordinates, and the mathematics behind infinite complexity.
The formula, the infinite boundary, and why the Mandelbrot set captivates mathematicians and artists alike.
5 min readUnderstanding x, y, zoom, iterations, and exact viewer links for reopening deep fractal locations.
3 min readNamed Mandelbrot landmarks and deep zoom coordinates worth reopening in the viewer.
5 min guideTurn any curated location or community submission into a clean desktop or phone wallpaper.
4 min guideSister fractals to the Mandelbrot set, each parameterized by a single complex number — and infinitely varied.
6 min readEscape time coloring, smooth shading, and palette cycling — the algorithms behind the vivid gradients.
6 min readWhy the Mandelbrot boundary has dimension 2 even though it's a curve, and what non-integer dimensions mean.
8 min readThe Mandelbrot set is infinite — but your computer isn't. Learn what actually limits zoom depth.
7 min readOne absolute value in the iteration formula creates a completely different fractal universe.
5 min readSelf-similarity, recursion, and the mathematics of shapes that repeat at every scale.
6 min readThe mathematics of fractional dimension, infinite perimeter, and endless detail.
7 min readTwo related fractals, one surprising mathematical connection.
6 min readSee the mathematics in action in the interactive viewer.
