NAPA vs Beauty Math

NAPA - Star Map NARIT Astronomy & Planetarium Application, or “NAPA” is an astronomy and planetarium app that will help guide you to the night sky. Identify those dots in the sky. Learn about stars, constellations, planets, and other deep sky objects by simply pointing your phone at the sky. Adjust the time and NAPA can be used as a star map to help plan your future observation. Familiarize yourself and learn more about the patterns that make up the night sky. Select and use NAPA to locate deep sky objects that you can locate with a binocular or small telescope. NAPA is made by professional and amateur astronomers, along with public outreach professionals with the aim to help bridge the gap, making astronomy accessible to everyone. This app is made free to use with the aim to assist schoolteachers and public outreach personnels with their engagement with the public. Unlock the pro version (coming soon) to access the full potential of this app. Turn your phone into powerful tools that can help you with your observation and stargazing events with features that will assist in your astronomical needs. NAPA features: • Point and observe: Display the celestial objects in the position of the sky that your smart device is pointing at. • Point and drag the screen to turn this app into a star map. • Adjust the time to plan your observations at any given date and time. • Simulate the positions of planets that you can see at any time. • Select constellations, planets, or deep sky objects of interest and locate its position in the sky. • Real images of deep sky objects

Beauty Math is an interactive math art museum. See the beauty first—then understand the idea. Wander the Gallery by mood: Inspiration, Zen, Kinetic, and Nature. Or switch to the Laboratory and explore by math branch—shapes, geometry, polar curves, Fourier, calculus, chaos, and fractals. Turn a few art dials and watch equations morph in real time. Smooth motion. No drawing board. Just living geometry. HIGHLIGHTS • 20+ interactive models—from flower of life and rose curves to Lorenz and Mandelbrot • Live parameter tuning with on-screen formulas • Step-by-step derivation mode to reveal how forms are built • Zen Mode for distraction-free immersion • Capture Beauty—save stills, GIF, or MP4 loops to your photos • Multilingual UI (English, Chinese, and more) FREE TO EXPLORE Many galleries are free to browse and play. Chaos, Fourier, and Calculus unlock with Beauty+ (auto-renewing subscription). Dynamic GIF/MP4 exports include a small free trial, then an optional Export Pack. PNG stills stay free. BeautyMath is built for designers seeking generative inspiration, anyone who wants visual calm, math enthusiasts who love precise systems, and students who learn better when symbols become motion. Open the museum. Turn a dial. Watch math become art. —— Auto-Renewal Terms (Beauty+) —— 1. Terms of Use: https://sites.google.com/view/beautymathterms 2. Privacy Policy: https://sites.google.com/view/beautymath 3. Beauty+ is an auto-renewing subscription that unlocks Chaos, Fourier, and Calculus galleries while active. It does not include unlimited GIF/MP4 exports (Export Pack is a separate consumable). 4. Subscription products: a. Beauty+ Monthly — $2.99 per 1 month (or local equivalent shown on the App Store) b. Beauty+ Yearly — $19.99 per 1 year (or local equivalent shown on the App Store) 5. Payment is charged to your Apple ID account at confirmation of purchase. 6. The subscription renews automatically within 24 hours before the end of the current period unless canceled, and your Apple ID will be charged for renewal. 7. To cancel, go to Settings → [Your Name] → Subscriptions at least 24 hours before the period ends. After canceling, you keep access until the end of the paid period. 8. Restoring purchases on a new device signed in with the same Apple ID does not affect your existing Beauty+ subscription.