Wave Simulator Lab by CS vs Deltarium

Wave Simulator Lab is a beautifully designed, hands-on physics simulator for students, teachers, and curious learners. Slide the controls and instantly see how frequency, amplitude, and wavelength shape a wave — no math headaches, no equipment, just pure visual understanding. From a single sine wave to interference patterns, standing waves, damped oscillations, and real audible tones — every feature is paired with clear explanations, interactive controls, and ready-to-share visuals. Built for classrooms, study sessions, and after-school curiosity. WHY LEARNERS LOVE IT • See physics, don't just read it — every parameter updates the wave instantly • Friendly UI built for touch, with smooth animations at 60 fps • Clear, jargon-free explanations next to every concept • Quiz pack with answers explained, so mistakes turn into lessons • Designed for iPhone and iPad, light & dark mode supported FREE FEATURES • Real-time animated sine wave • Frequency, amplitude, and wavelength sliders • Automatic wave speed and period calculation • Play / pause / reset controls • Grid and axis toggles • Light, dark, and themed appearances • Basic learning library • Quiz pack with explanations UNLOCK ALL FEATURES (one-time purchase) • Remove all ads forever • All wave types — cosine, square, triangle, sawtooth, pulse, standing, damped • Compare two waves on one graph • Interference & superposition mode • Standing wave & damped wave modes • Sound wave tone generator (hear what you see) • Advanced measurement tools (ω, k, T, v) • Export wave images to share with classmates or teachers • Save unlimited custom presets • Full learn library + full quiz library • Extra themes (Space Wave, Graph Paper, and more) GREAT FOR • High school & university physics students • STEM teachers preparing live classroom demos • Homeschool families exploring science visually • Sound engineers and curious tinkerers • Anyone who wants to finally "get" waves NO SUBSCRIPTIONS. Pay once, keep forever. All your presets and preferences live safely on your device. Made with love for science classrooms and self-learners everywhere.

Deltarium is a place to walk among worlds, the way a planetarium is a place to walk among stars. Each world is a living system of change. You move a few sliders, press play, and watch what the mathematics does: rabbits and foxes chase each other in cycles, a chaotic attractor traces its butterfly wings, a rocket bends time on its way to another star. Built for kids and curious people first, and for scientists too. There is nothing to sign into, nothing to buy, and no ads. The app runs entirely on your phone and collects nothing. THE 8 WORLDS PREDATOR AND PREY. The classic hare-and-lynx cycle. Set the birth, hunting, and dying rates and watch the populations chase each other around a loop. A guided tour walks through this world one step at a time. THE BUTTERFLY. The Lorenz attractor in 3D, spun with a finger. Turn on the twin path, which starts a hair away from the first, and watch the two separate. The butterfly effect you can see. ESTUARY. A coastal model of nutrients and life that blooms and crashes with the seasons. THE DANCE. Three stars pulling on each other, including the famous figure-eight where they chase one another forever. PARKING IN SPACE. The 5 Lagrange points, the spots where a small craft can hold its place relative to the Earth and Moon. Give all 5 a shared kick and see which ones stay parked and which wander off. RADIOACTIVITY. How a radioactive source fades over time, following the real decay chain from a parent down through its daughters. TIME DILATION. A rocket that holds a steady 1 gravity of thrust all the way to a distant star, flipping over at the midpoint to slow down. The clock on the ship and the clock back on Earth pull apart. BUILD YOUR OWN. Write your own equations, add sliders for the parts you want to tune, and watch the system run. UNDER THE HOOD Every world is a real system of ordinary differential equations, solved on your phone by the same numerical method scientists use. Each screen carries a science card naming the model, its author, and a reference you can look up. The phone's engine is checked against a published Python reference, and all the source code is public at github.com/evanleeturner/deltarium-iphone.