Eulerian puzzle game icon

Eulerian

Trace every edge. Solve the path.

PuzzleGraph TheoryiOS
The Concept

A 300-year-old puzzle, reimagined for your fingertips.

In 1736, mathematician Leonhard Euler asked whether you could cross every bridge of Königsberg exactly once. That question gave birth to graph theory. Eulerian turns this elegant problem into an addictive puzzle game — trace every edge of the graph without retracing your steps. No repeats. No leftovers.

Design

Beautiful notebook aesthetic, hand-sketched puzzles.

Every puzzle feels like it was drawn by hand on a real notebook page. Torn-edge dividers, warm paper textures, and smooth animations create a calming, tactile experience. Choose from 16+ themes to make the game truly yours.

01

Select

Tap a starting node on the graph.

02

Trace

Draw your finger along each edge.

03

Solve

Traverse every edge exactly once.

04

Earn

Get star ratings based on speed.

200+Handcrafted levels
10Level packs
16+Themes
4Difficulty modes
Endless puzzles
Progression

Start simple. Get deviously tricky.

Begin with straightforward 3-node graphs and work your way through increasingly complex structures. 200+ handcrafted levels across 10 packs are validated to always have a valid Eulerian path — every puzzle is solvable, but finding the solution is the challenge.

I

Beginner

Simple shapes, 3–4 nodes

Packs 1–3
II

Intermediate

Crossing edges, 5–6 nodes

Packs 4–6
III

Advanced

Dense graphs, 7–8 nodes

Packs 7–8
IV

Expert

Complex multi-path puzzles

Packs 9–10
Endless Mode

Infinite puzzles, procedurally generated.

Finished the campaign? Jump into Endless mode with procedurally generated puzzles that never run out. A seeded random number generator ensures deterministic graphs, so every puzzle is fair and always solvable.

Deterministic Generation

SeededRNG produces the same puzzle for the same seed — share challenges with friends.

Smart Hints

Hierholzer's algorithm powers the hint system — get nudged in the right direction when stuck.

Offline Play

No internet required. Play anywhere, anytime — on the plane, in a café, wherever.

Customization

Make it yours with 16+ notebook themes.

From warm Washi paper to electric Neon, every theme transforms the entire game board — background, nodes, edges, and effects. Free themes ship with the game; premium themes unlock a deeper palette.

WashiParchmentBlueprintOceanNeonChalkboardFrosted MintLavender DuskRose GoldSolar FlareTerracotta
The Story

Centuries-old math, modern minimalism.

Based on a problem first posed by Leonhard Euler in 1736, Eulerian brings graph theory to your fingertips in a beautiful, approachable package. No math degree required — just curiosity and a love for elegant puzzles.

Available on the App Store.

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