Uzumaki vs Morphon

Create mesmerizing mathematical spiral patterns with infinite customization. Uzumaki is an interactive spiral visualization app that transforms mathematics into art. Explore 10 unique spiral types, from classic Archimedean spirals to the mystical Golden spiral, each with its own mathematical properties and visual characteristics. SPIRAL TYPES - Archimedean - Classic evenly-spaced spiral - Fermat - Parabolic spiral pattern - Logarithmic - Nature's growth spiral - Golden - Based on the golden ratio - Hyperbolic - Asymptotic spiral curves - Lituus - Trumpet-shaped spiral - Theodorus - Square root spiral wheel - Vogel - Sunflower seed pattern - Curlicue - Fractal-like spiral - Uzumaki - Chaotic animated spiral FEATURES - 10 beautiful color presets: Rainbow, Ocean, Fire, Matrix, Aurora, and more - 6 line styles: Solid, Dashed, Dotted, Glow, Points, and Triangles - Real-time animation with adjustable speed - Pan and zoom controls for exploring details - Export high-quality PNG images - 4 background themes: Dark, Black, Gradient, and Matching - Curated presets for inspiring configurations - Performance mode for smooth animations - Keyboard shortcuts for quick control PRIVACY FOCUSED - No account required - No personal data collected - All settings stored locally on your device Perfect for artists, designers, math enthusiasts, or anyone who appreciates the beauty of mathematical patterns.

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.