Michi vs Euler's Circuit

Embark on a Timeless Puzzle Journey Step into a fresh take on a classic puzzle game with Michi: World — a reimagined Slitherlink experience. Solve handcrafted puzzles and unlock new ages, from primitive stone huts to sleek space colonies. Each completed puzzle brings you closer to the next era, with no shortcuts—only clever thinking and satisfying progression. Replay earlier challenges, unlock new themes, and enjoy a calming yet brain-teasing experience.

Trace every wire in a single stroke, and light up the circuit. Euler's Circuit is a quiet one-stroke (Eulerian circuit) puzzle. Tap or drag from node to node to trace the wires. Wherever there is only one way forward, the current runs on its own — the only thing you ever decide is which way to go at a fork. Designed not to tire you out - Straight runs auto-advance, so you only act where a real choice exists - Dead ends carry no penalty — you simply rewind to the last fork you chose - No lives, no game over, no timers - One set is five circuits: a complete session in about three minutes Clean solutions, not high scores - Three stars per circuit: finish it, finish without a dead end, finish without a hint - "Elegance" multiplies the wire count by Euler's number e (2.718…) for a flawless solve, or √e if you used a hint - New sets open as you complete them, growing larger and branchier - Daily Challenge: the same five circuits for everyone in the world, with a streak calendar - Game Center leaderboards for total stars and today's elegance The mathematics is the game Every circuit is generated so that each node has an even number of wires — by Euler's theorem, a solution always exists. A dead end only means your route stranded an island of wires behind you. The title spiral is an Euler spiral (clothoid). Background particles orbit the unit circle of e^(iθ), colors step around the hue wheel by 1/e, and the soundtrack is synthesized in real time using just intonation (1 : 9/8 : 5/4 : 3/2 : 5/3), with melodies walking the scale in the digits of e. Ads appear only between sets — never while you are tracing — and never in the Daily Challenge. The one-time Premium purchase removes them entirely.