F.A.S.T vs Make Chirps

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!

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.