# Euler's Circuit - One Line

> Relaxing logic & brain puzzle

Canonical page: [https://chrome-stats.com/d/id6792647040](https://chrome-stats.com/d/id6792647040)

## Overview

- **ID:** `id6792647040`
- **Platform:** Apple
- **Type:** Apple app
- **Status:** Available
- **Publisher:** Kenichi Horiuchi
- **Category:** Puzzle
- **Version:** 1.0.2
- **Last updated:** 2026-08-23
- **First published:** 2026-08-13
- **Size:** 11 MB
- **Data as of:** 2026-09-16
- **Store listing:** [Apple App Store](https://apps.apple.com/us/app/eulers-circuit-one-line/id6792647040)
- **Website:** [http://kenapps.s3-website-ap-northeast-1.amazonaws.com](http://kenapps.s3-website-ap-northeast-1.amazonaws.com/)
- **Privacy policy:** [https://euler-game-547448217655-ap-northeast-1-an.s3.ap-northeast-1.amazonaws.com/privacy.html](https://euler-game-547448217655-ap-northeast-1-an.s3.ap-northeast-1.amazonaws.com/privacy.html)

## Description

Straight runs trace themselves — you only ever choose at a fork. Five circuits per set, about three minutes a session, and a dead end costs you nothing.

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.

## Rankings

- #2,007,571 — Overall

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Source: [Chrome-Stats](https://chrome-stats.com/d/id6792647040)