BeautOfFractals

Beauty of Fractals turns mathematical structures into an immersive visual journey for iPhone and iPad. Explore the Mandelbrot set and a diverse collection of related fractals with natural touch navigation, fast Metal rendering, precise CPU deep zooms, expressive palettes and abstract rendering styles, iCloud-synced favorite spots, PNG export, and Apple Watch render mirroring. FEATURES - Explore Mandelbrot, Power of n (2-12), Julia, Burning Ship, Tricorn, Celtic, Newton, Kleinian, Mandelbrot Relief, Mandelbulb 3D, Mandelbox 3D, and Eight Rainbows - Navigate naturally with pinch-to-zoom and touch gestures - Use Automatic precision selection from fast interactive views through guarded Extreme Precision - Reveal selected Mandelbrot structures around 10^50x, with deeper views available as an experimental frontier - Render difficult deep zooms with adaptive reference anchors and coverage repair - Let the app choose an iteration budget from the center orbit plus a reserve, or select up to 250,000 iterations manually - Save and revisit precise favorite spots with thumbnails, palette, quality, mode, and effective iteration counts - Sync favorites through iCloud across iPhone, iPad, and Mac - See render progress, final previews, and the current zoom on Apple Watch - Create abstract worlds with Metallic Dreams, Embossed Metal, Guilloché, Spheroid Glass, Quantum Glass, Quantum Traps, and Orbital Waves - Shape each new style with its dedicated touch control - Choose from additional expressive color palettes, including Aurora, Auric, Pearl, Rainbows, and Deep Current - Export PNG images recalculated locally for the selected output size - Collapse the controls for an unobstructed view of the fractal - Follow longer calculations with clear render status and diagnostics Beauty of Fractals is designed for exploration. There are no accounts, advertisements, analytics, or tracking. Rendering and export happen locally on your device. Optional iCloud sync and Apple Watch communication use Apple system services.