Fractal Navigator

Navigate through living mathematics.

Fractal Navigator turns motion into exploration: tilt your iPhone to explore through the Mandelbrot set as it zooms ever deeper, bend a growing fern to see its repeating pattern, and watch the dragon curve copy itself fold by fold.

THREE WORLDS • Mandelbrot — tilt to steer, auto-zoom to dive. Four color palettes. Bookmark the places you find. • Garden — a fern grown live from the same L-system rules botanists use to model real plants. Tilt the phone and wind blows through it. Shake for a new plant. • Fractal Curves — the dragon curve and Sierpinski arrowhead reveal themselves fold by fold. A build-it-yourself challenge lets you fold the curve on your own.

LEARN AS YOU FLY Wonder cards surface the ideas behind what you're seeing — self-similarity, infinite boundaries, how simple rules grow complex shapes. A museum mode keeps the experience running hands-free for exhibits and classrooms.

BRING YOUR OTHER DEVICES (OPTIONAL) Everything works with just your iPhone. Add AirPods and your head steers too. Add Apple Watch and the crown grows the garden while wrist tilt reshapes the plant.

No account. No ads. Nothing collected — bookmarks stay on your device.