Rondo is now available in Japanese, Spanish, Simplified Chinese, and Traditional Chinese. No ads, no tracking, no account, ever. Thanks for dancing with us.

Bug fixes and performance improvements. No ads, no tracking, no account, ever. Thanks for dancing with us.

Bug fixes and performance improvements. No ads, no tracking, no account, ever. Thanks for dancing with us.

Updated for iOS 27, with bug fixes and improvements. No ads, no tracking, no account, ever. Thanks for dancing with us.

Bug fixes and improvements. No ads, no tracking, no account, ever. Thanks for dancing with us.

Bug fixes and improvements. No ads, no tracking, no account, ever. Thanks for dancing with us.

Behind-the-scenes tidying, plus a few small fixes. No ads, no tracking, no account, ever. Thanks for dancing with us.

Small fixes and quiet improvements under the hood. No ads, no tracking, no account, ever. Thanks for dancing with us.

Small fixes and quiet improvements under the hood. No ads, no tracking, no account, ever. Thanks for dancing with us.

The numbers now take you places. • Collatz Orbit: pick a number and ride its journey all the way down to 1, with a supernova when it soars past what dots can draw. Start it from Settings. • Fluid scrub: flick the dance and it coasts with real momentum, buzzing through the primes as it slows. • Special-number days: opt in to a gentle heads-up when the day of the year is itself a special number, like day 233. • Plus a small maker's mark on shared cards and quiet improvements under the hood. No ads, no tracking, no account, ever. Thanks for dancing with us.

Minor improvements and bug fixes to keep the dance smooth. No ads, no tracking, no account, ever. Thanks for dancing with us.

Rondo turns the counting numbers into a quiet, hypnotic dance. Every number is drawn as a factorization diagram, nested rings of colored dots that show how it is built from its primes, then melts and re-forms into the next. FREE • Go to Number: type any number and jump straight to it • A new speed menu with eight tempos, from a slow ⅙× up to 8×, plus a Loop toggle to let it dance forever • Field Guide: a gentle "collect them all" for special numbers, with an album to fill in as you find primes, perfect numbers, and more • Number Profile: open About to see what makes the number on screen special • Widgets now mirror the look you pick in the app, with new Month and Year formats • Smoother playback, and the dance now follows Reduce Motion RONDO PRO (one-time unlock) Make it yours: • 17 color palettes, including Viridis, Magma, Aurora, and Plasma • Custom backgrounds, your own colors included • Clock Mode: read the time as a living factorization • Sequence packs: primes, Fibonacci, Lucas, multiples, Count by N, and more • Layout controls: factor order, polygon rings, and rotation • Sound tuning: shape how each number sings with scales, keys, and an ambient drone The dance itself stays free, always. No ads, no tracking, no account. Thanks for dancing with us.

Rondo turns the counting numbers into a quiet, hypnotic dance. Every number is drawn as a factorization diagram, nested rings of colored dots that show how it is built from its primes, then melts and re-forms into the next. This is our first big update. Most of it is free for everyone, with a new optional Pro unlock for anyone who wants to make the dance their own. NEW AND FREE • Go to Number: type any number and jump straight to it • A new speed menu with eight tempos, from a slow ⅙× up to 8×, plus a Loop toggle to let it dance forever • Field Guide: a gentle "collect them all" for special numbers, with an album to fill in as you find primes, perfect numbers, and more • Number Profile: open About to see what makes the number on screen special • Widgets now mirror the look you pick in the app, with new Month and Year formats • Smoother playback, and the dance now follows Reduce Motion NEW: RONDO PRO (one-time unlock) Make it yours: • 17 color palettes, including Viridis, Magma, Aurora, and Plasma • Custom backgrounds, your own colors included • Clock Mode: read the time as a living factorization • Sequence packs: primes, Fibonacci, Lucas, multiples, Count by N, and more • Layout controls: factor order, polygon rings, and rotation • Sound tuning: shape how each number sings with scales, keys, and an ambient drone The dance itself stays free, always. No ads, no tracking, no account. Thanks for dancing with us.

Hello! This is the very first release of Rondo. Watch the counting numbers dance as factorization diagrams — nested rings of dots that show how each number is built from its primes, morphing from one number to the next. This first version includes: • The continuous dance, with tap-to-pause, scrub, step, and 1–8× speed • A haptic tap on every prime • Spoken read-out and full VoiceOver factorization • Favorites and diagram sharing • Home Screen, Lock Screen, and StandBy widgets, plus a factorization calendar • An Apple Watch app with Digital Crown scrubbing No ads, no tracking, no account — and free. Thanks for dancing with us.