Ultra Mandelbrot: Fractal Zoom

See extraordinary shapes nobody has ever seen before. Just a tap away.

An infinite world that keeps revealing more. Ultra Mandelbrot turns the Mandelbrot set into a landscape of spirals, miniature worlds and intricate patterns, all calculated on your iPhone.

Pick from over 100 hand-picked destinations and watch the journey unfold. Or tap anywhere to let the app explore for you, drilling down a path into infinite detail, forever. Pinch, drag and twist to take your own route. Touch the picture to pause; resume whenever you like.

Give the same world a different character with 16 looks. Try reflective Metal, rippling Water, vivid Rainbow, Retro CRT and other animated materials.

Save your discoveries as photos with their precise locations. Name your favourites, browse your gallery and share the original images. Maths computations are saved to return to your saved zooms ultra-fast.

• Over 100 curated destinations, plus random discovery
• Automatic deep zooms and touch exploration
• Pan, pinch and rotate with natural gestures
• 16 colour palettes and material finishes
• Named photos, a local gallery and image sharing
• Optional depth and iteration information
• Works offline, with no account, ads or analytics

Ultra Mandelbrot uses Metal and high-precision calculations to reveal detail at zooms past 10¹⁰⁰⁰⁰×, far beyond ordinary floating-point. Very deep views take longer to calculate; rendering speed depends on your device and the location you choose.