Statisticality vs Three

Partly a book, partly a set of demonstrations, and partly a tool, this app introduces you to basic statistics. Topics include box & whisker plots, histograms, median-median lines, linear regression lines, probability distributions, the Central Limit Theorem, and the normal curve. You can enter your own data or work with the provided sample data. Samples include information about US presidents, professional basketball players, coin flipping, dice rolling, the minimum wage, and the expansion of the universe! Each page inludes a Read Me button for basic instructions and a Details button for information about the underlying mathematical concepts.

Three bodies. Countless paths. Watch the beauty of gravity unfold. Three-Body Simulation brings abstract celestial motion into a world of orbits you can watch, interact with, and explore. See three bodies pull on one another as their trails gradually draw patterns, and discover how a simple law of gravity produces rich and fascinating motion. Explore 16 classic periodic solutions From the flowing Figure Eight to Butterfly, Moth, and Bumblebee, discover the shapes and rhythms of different periodic solutions. Detailed introductions to each orbit explain the motion behind these patterns. Discover 10,059 three-dimensional periodic orbits Explore published spatial periodic solutions and discover paths that weave and curve through space. Choose an orbit by number or discover one at random, then rotate the view to see its shape from different directions. Try your own gravity experiment Adjust the mass, initial position, and velocity of each body and watch how the orbit changes. You can also explore random three-body motion to see how the bodies approach, circle, and move away from one another. Turn curiosity into understanding Learn about the origins, history, and basic principles of the three-body problem. See the full system of three equations of motion, explore classic periodic solutions, and learn how the 10,059 spatial periodic orbits were discovered. Let the paths you see become a starting point for understanding gravity and motion. Available on iPhone and iPad in ten languages, including Chinese, English, and Japanese. Orbit data, simulations, and introductions are included in the app, so the core exploration experience works offline. The complete orbit catalog, random motion, and custom experiments are unlocked with a one-time in-app purchase.