Spirolaterals vs Wave Interference Simulator

Spirolaterals allows you to explore geometric line designs based on applying a simple rule to a number sequence. Be warned though: spirolaterals can be very addictive! You can create your own spirolaterals by entering a number or text like your name. Or you can explore the gallery of 80 spirolaterals by tapping Surprise Me! Spirolaterals raise many interesting questions: Which ones repeat and why? What kinds of symmetry are present? What happens when you use a palindrome or when your numbers increase or decrease by the same amount? I have used Spirolaterals in my math classes for many years, and students always find them fascinating. They try their name or phone number. They try to create some particular pattern. This year some students spent hours trying to create a 4x4 grid! If you create an interesting spirolateral, email me and I may include it in the Surprise Me! gallery in a future version, with full credit to you!

The perfect app for high school physics education, offering real-time, visual simulations of wave interference and reflection. 【Key Features】 Intuitively control and observe complex phenomena like wave interference (interference fringes, antinodes, nodes) and reflection (fixed and free ends)—concepts that are often hard to grasp through textbooks alone—right on your smartphone or tablet. Spherical & Plane Wave Placement: Freely position up to two wave sources, with fully customizable wavelengths, frequencies, and phase inversions. Reflection Wall Simulation: Place a reflecting wall (fixed or free end) to visualize reflected waves, virtual wave sources, and even what happens behind the wall in real-time. Interference Line Display: Highlight antinodal lines, nodal lines, and moving interference points to logically understand the mechanics behind wave interference. Total Control: Supports fast-forward, rewind, and frame-by-frame playback. Zoom in and out with a simple pinch, and use smooth scrolling to observe every detail. Classroom & Projector Ready: Includes a "Bold Display" mode for clear screen projection, along with slow-motion and frame-by-frame playback features. 【Recommended For】 - Anyone who wants to appreciate the visual beauty of physics phenomena. - High school and college prep students looking for hands-on understanding of wave superposition and interference. - Teachers seeking interactive, visual educational tools for their classrooms.