Morphon vs Unlimited Fractals

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.

Step into a living gallery of mathematical worlds. Unlimited Fractals puts every fractal family worth exploring in your pocket — from familiar escape-time sets and strange attractors to ray-marched 3D worlds. THE FAMILIES - Escape-Time: Mandelbrot, Julia, Burning Ship, Newton, Phoenix, and more - Iterated Function Systems: ferns, trees, spirals, crystals, and carpets - L-Systems: classic curves, plants, islands, and recursive designs - Discrete Maps: Hénon, Ikeda, Clifford, Gumowski–Mira, and others - Strange Attractors: Lorenz, Rössler, Thomas, Aizawa, Halvorsen, and more - 3D Fractals: Mandelbulb, Mandelbox, Menger Sponge, and Quaternion Julia - Plus fractal trees, orbit density, flames, circle packings, complex dynamics, stability maps, growth, cellular fractals, conformal limit sets, and fractal landscapes Drag to travel, pinch to zoom, and hold to dive in and steer the descent. Color with Viridis, Magma, Twilight, or anything else on the shelf; adjust coloring and detail controls; inspect Julia and orbit behavior; or ask the laboratory to surprise you. Enter exact decimal coordinates to revisit a known location — precision grows with how deep you go. Save discoveries as bookmarks by exact coordinate, and share the current view as a picture or as a location someone else can paste back in. No account, no subscription, and no network access — every render happens on your device.