Explore Infinity In Real Time
GPU-powered Mandelbrot exploration with high precision and rich color palettes

GPU-powered Mandelbrot exploration with high precision and rich color palettes
The Mandelbrot set is one of the most famous images in mathematics. It looks like a black heart-shaped figure surrounded by endless spirals and patterns. What makes it special is that it’s created from an incredibly simple formula, yet it contains infinite detail. Zoom in anywhere on its edge, and new shapes appear—spirals, lightning-like branches, and even miniature “baby” Mandelbrots. This never-ending complexity is why the Mandelbrot set has become a symbol of both mathematics and beauty, showing how simple rules can lead to infinite variety.
Whether you’re a student, an artist, or just curious, this is the fractal explorer you’ve been waiting for.
Dive into ultra-deep zooms (up to 10¹⁶×) with smooth, real-time rendering.
Every zoom reveals new self-similar detail — an infinite landscape blending art, science, and pure mathematics.
Pinch, pan, or jump instantly to iconic regions like Seahorse Valley or baby Mandelbrots. Built-in HUD shows coordinates, iteration budgets, and palette info so you can understand the math as you explore the art.
Mandelbrot Metal includes a 3D Look mode. By simulating light and surface texture across the fractal’s infinite landscape, 3D Look transforms flat color into dynamic relief. With adjustable lighting and shading, you’ll see the Mandelbrot set’s intricate structure with new dimensionality — from subtle contours to dramatic highlights.
GPU-powered rendering with Auto Iteration + calibrated slider for perfect detail every time. Adaptive precision (FP32 → FP64 → double-double) keeps every zoom crisp, from wide views to ten-quadrillion-to-one deep dives.
Never lose your place in infinity. Save any zoom as a bookmark and return instantly, or mark your favorite fractal discoveries for quick access later.
Bookmarks save coordinates, zoom, iterations, palette, and contrast. So, the bookmarked image looks exactly the same each time you load it.
Perfect for building your own library of infinite wonders.
Unlock the full spectrum of fractal beauty with Mandelbrot Metal’s powerful palette system.
Choose from 125+ professionally crafted palettes, including ultra-wide (768-step) LUTs for ultra-smooth ramps, or wide sets for punchier bands.
Import colors from any photo — in HDR & P3 color, fine-tune gradient stops, and save your custom schemes to the library. With gamma-aware interpolation and lookup table (LUT) rendering, every color blend stays smooth and precise, even in the deepest zooms.
Whether you want mathematically accurate gradients or bold artistic expression, Mandelbrot Metal puts the colors of infinity at your fingertips.
Transform your explorations into finished works of art. Export crystal-clear images at resolutions up to 8K, perfectly suited for large prints, presentations, or sharing online.
Save directly to your photo library, copy to the clipboard, or share instantly with friends.
Every capture preserves the vivid colors and intricate detail of your zoom, so your fractal masterpieces look as breathtaking on the wall as they do on your screen.
On the latest iPads and iPhones, Mandelbrot Metal sustains interactive rates at thousands of iterations — without compromise.
Balance speed and quality with HQ refinement, idle refinement, and low power options.
The screenshot, opposite, shows a deep zoom at an incredible magnification of 185,355,176,090,360x using Rainy Day [UW], one of the Ultra-Wide palettes in the palette library.
See the math in motion. With HUD overlays and real-time feedback, Mandelbrot Metal doubles as an educational tool, helping you understand how fractals unfold at infinite scales.
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Mandelbrot Metal is a registered DBA (Doing Business As) of Michael Stebel Consulting, LLC, a Florida limited liability company.
Trademarks: Apple, the Apple logo, iPhone, iPad, Mac, macOS, iOS, Xcode, Swift, and Metal are trademarks of Apple Inc.,
registered in the U.S. and other countries. All other product names, logos, and brands are property of their respective owners.