F.A.S.T vs PerturbLab

F.A.S.T (Fancy Archimedean Spiral Tool) Unlock the world of mesmerizing spirals with F.A.S.T – your ultimate tool for creating, exploring, and customizing beautiful mathematical spirals. Whether you're captivated by the elegance of curves or fascinated by the geometry of logarithmic and Archimedean spirals, F.A.S.T offers you endless possibilities for creative discovery. Key Features: - Archimedean & Logarithmic Spirals: Dive into the classic forms of Archimedean spirals or the distinctive beauty of logarithmic (Bernoulli) spirals, each customizable to perfection. - Intuitive Controls: Adjust arc length, separation, rotation, segment count, and even color to create spirals that are uniquely yours. Every control slider is designed to let you shape each aspect with precision, from the spiral's curvature to the color that brings it to life. - Dynamic Colorization: Explore the full hue spectrum with seamless color transitions that allow you to bring your spirals to life in vibrant ways. From soft gradients to intense shades, your creations can be as colorful as you wish. - Expert Mode: Ready to go beyond? Activate Expert Mode and access advanced options that make every tweak feel like an art form. Experiment with rotations, mirrored patterns, and detailed configurations to find the perfect look. - Dark Mode & More: Customize your workspace with Dark Mode, make high-contrast visualizations, and adjust your settings to fit your unique style. F.A.S.T has been built to look great on both iPhone and iPad, adapting seamlessly to your device's orientation and dark/light settings. - Made for All Ages: Ideal for curious minds of all ages, F.A.S.T offers easy-to-use controls that make it engaging for young explorers and a true creative outlet for geometry enthusiasts. Whether you're creating spirals for inspiration, education, or pure enjoyment, F.A.S.T provides a delightful environment to explore the world of curves. For a lighter experience for children and babies, be sure to check out "F.A.S.T Baby" for simpler, touch-friendly spirals. Discover the beauty of mathematics and design. Let F.A.S.T inspire your creativity today!

See how a tiny change at the start grows into a completely different world. PerturbLab is a chaos and physics simulator with 176 experiments – Double Pendulum, Three-Body orbits, the Lorenz butterfly, Game of Life and more – that run live on your device. Free, offline, no ads, no account. WHAT YOU SEE • Side-by-side comparison: the same system runs twice, one copy nudged by a tiny amount. Watch them move together, then split apart. Overlay both runs and follow the distance between them on a live log-scale chart. • Simple rules, surprising order: Langton's Ant, cellular automata, chip-firing and walkers grow complex patterns from a single rule. • Tipping points: percolation, the Ising magnet, epidemics, traffic jams and synchronization sweep across a critical value so you can see the sudden change happen. WHO IT IS FOR • Students: see sensitive dependence, strange attractors and phase transitions instead of just reading about them. • Teachers: a ready-made classroom demo on iPhone or iPad, with side-by-side runs in landscape on iPad. • Curious minds: endless generative patterns to watch, tweak and share. 176 EXPERIMENTS IN 9 CATEGORIES • Classics and pendulums: Double Pendulum, Triple Pendulum, Spring Pendulum, Driven Damped Pendulum • Celestial and particles: Three-Body, Restricted Three-Body, N-Body, Billiards, Magnetic Pendulum • Oscillators and circuits: Duffing, Van der Pol, Chua's Circuit, Coupled Oscillators • Maps: Logistic Map, Hénon Map, Standard Map, Arnold's Cat Map, Clifford and De Jong attractors • Flows: Lorenz, Rössler, Thomas, Aizawa, Halvorsen and the Sprott family of chaotic flows • Fields and grids: Gray-Scott reaction–diffusion, Kuramoto oscillators, sandpiles, aggregation • Visual systems: fractal ferns, dragon curves, flow fields, iterated function systems • Rule emergence: Langton's Ant, Wireworld, turmites, rule 184 traffic, Pascal's triangle modulo n • Phase transitions: percolation, Ising magnetization, epidemic threshold, forest fires, Kuramoto locking NEW IN THIS VERSION • A short note for every experiment: what it is, what to watch, what to try • Favorites, recent experiments and search • Share the current picture as an image, with the settings that made it • Opens where you left off • Divergence chart and full dark mode • Now in English, Simplified Chinese, Traditional Chinese, Japanese, German and French CONTROLS Presets (Calm, Chaotic, Dramatic), perturbation and trail sliders, 0.25x to 4x speed, random seeds, pause and reset. Every run is reproducible from its seed. PRIVACY Everything runs on your device. PerturbLab has no ads, no tracking, no account and collects no data. Privacy policy: https://anymk.app/privacy/perturblab