Make Chirps vs MathArt Playground

This educational app displays gravitational wave chirps created by mergers of massive black holes in several different ways, giving users an intuitive understanding of these exotic disturbances of space-time itself produced by cataclysmic events in distant galaxies. FEATURES: • Simulation: Experience the intricate behavior of gravitational waves through physics simulation of inspiralling black holes that merge to form a final black hole which then “shakes off” its excess energy. • Visualizations: See the essence of gravitational waves via waveform plots, frequency evolutions, and spectrograms, to understand the patterns and how they depend on black hole masses. • Auditory Experience: Listen closely as you hear the evolution of gravitational waves, detecting the characteristic increase in time in strength and frequency. Try varying masses to see how pitch is affected. • Dynamic Animations: Witness the captivating dance of black holes in collision animations. Explore the propagation of these waves through space-time with mesmerizing spiral animations. • Educational Insights: Gain a comprehensive understanding of gravitational waves and the pioneering work of LIGO through informative text pages, enhancing your knowledge of these cosmic phenomena. COMPATIBILITY Compatible with iPhone and iPad, iOS 16 or later. ACKNOWLEDGEMENT Supported by the National Science Foundation with grant PHY-2110181.

MathArt Playground is a creative tool that transforms math into dynamic visual art through intuitive controls and geometric patterns. Designed for students, educators, and creative thinkers, MathArt invites users to explore mathematical transformations like rotation, scaling, skewing, and symmetry in a playful and visual way. Interactive Math Meets Art Start with one of 14 built-in shapes and manipulate your design using powerful sliders that control transformations such as layer count, spread, skew, and rotation. Watch your artwork evolve in real time with every adjustment. Customise and Experiment Fine-tune colors, repetition, and shape arrangements to generate mesmerizing patterns and motion. Built-in tooltips help users understand each transformation and its artistic effect. Save, Load, and Share Save up to 12 artworks in your personal gallery and easily reload or edit them. Export your creations with unique artwork codes to share with friends, classmates, or on social media — all without needing an account. Built for Learning and Exploration MathArt is inspired by educational goals and supports visual learning. Whether you're an instructor illustrating geometric concepts or a student exploring math through design, MathArt offers a fun, engaging, and accessible platform.