Morphon vs Fractal Wallpaper

Sixty-three simulations from real physics, chemistry, and mathematics — running entirely on your device's GPU. Touch them. Pinch into a Mandelbrot set. Inject a vortex. Drag a magnet and watch a fractal basin re-paint. Drop pebbles into a pool and watch the waves bounce off the walls. Nothing is pre-recorded; everything you see is computed from the underlying equations as you watch. WHAT'S INSIDE • Fractals — Mandelbrot, Julia, Burning Ship, Newton, IFS chaos game, and ten construction fractals (Koch snowflake, Hilbert curve, Apollonian gasket, and more) that build up one iteration per second • Cellular Automata — Conway's Game of Life, Lenia, Brian's Brain, Forest Fire, neural CA • Reaction-Diffusion — Gray-Scott, Belousov-Zhabotinsky, Turing morphogenesis (square + hex lattice) • Fluid Dynamics — incompressible Stable Fluids, shallow water, Kelvin-Helmholtz instability with optional vortex shedding past a cylinder, non-Newtonian oobleck • Wave Phenomena — Chladni plates, Faraday waves, cymatics, animated underwater caustics • Chaos — Lorenz / Rössler / Halvorsen attractors, magnetic-pendulum fractal basins, Hénon-Heiles • Phase Transitions — Ising, XY-model, Potts, Kuramoto oscillators, percolation, bubble foam coarsening • Field & Flow — Perlin noise, curl-noise, flow fields, paint-your-own velocity fields • Growth — crystal nucleation, L-systems, real DBM Lichtenberg lightning, differential growth • Collective Behaviour — slime-mould Physarum, Boids flocking • Plus granular sand, cloth, sandpiles, Schelling segregation, small-world networks, and more INTERACTION Every simulation responds to touch in a way that's specific to it. Drag to inject dye into a fluid; pinch to zoom into a fractal; flip spins in the Ising model; drag the magnets in the Magnetic Pendulum and watch the basin re-paint. Multi-touch is supported throughout. KEEP YOUR ART Save stills (PNG) and short loops (MP4) directly to Photos, share to social, or just sit back and watch. Six color palettes including viridis, magma, plasma, and turbo apply across every simulation. NO ACCOUNTS, NO ADS, NO TRACKING Morphon collects no data, runs no analytics, and connects to no servers. Whatever you make stays on your device. UNIVERSAL & OPTIMISED Built for iPhone and iPad. Targets 60 fps on every supported device with thermal-aware downshift on older hardware. Pencil-aware on iPad: pressure and tilt drive simulation parameters where it makes sense. Open it. Touch it. The math does the rest.

Fractal turns a simple word or number into stunning, infinitely detailed fractal art — right on your iPhone and iPad. Type any seed, like "nebula" or "1024", and Fractal instantly generates a unique, colorful image. The same seed always recreates the same artwork, so your favourites are easy to find again. Tap Surprise for an endless stream of new creations. EXPLORE SIX FRACTAL FAMILIES • Mandelbrot — the classic set with endless detail at every zoom • Julia — flowing filaments and spirals shaped by a seed point • Burning Ship — jagged, ship-like structures • Tricorn — the mirrored "Mandelbar" • Phoenix — swirling tendrils with a feedback term • Celtic — heart-shaped lobes from a folded Mandelbrot MAKE IT YOURS • Eight vivid colour palettes: Aurora, Inferno, Ocean, Neon, Sunset, Viridis, Candy and Mono • Fine-tune detail, hue, colour density and interior glow • Drag to pan and pinch or double-tap to zoom deep into the structure • Hand-tuned gallery of beautiful starting points SAVE & SHARE • Export high-resolution artwork straight to your Photos • Share to Messages, Mail, social apps, or set as a wallpaper FAST & PRIVATE • Rendered live on your device’s GPU with Metal • Completely offline — no account, no network, no tracking • Photo access is requested only when you choose to save an image Whether you want a one-of-a-kind wallpaper, a relaxing way to explore mathematical beauty, or a creative tool for generative art, Fractal makes it effortless.