How to Play One Stroke
Each level presents a graph — a set of nodes connected by edges. Your goal: draw a path that visits every node exactly once. Tap a starting node, then tap connected nodes one by one to trace your route. If you get stuck, undo your last move or reset and try a different approach.
Early puzzles are intuitive and have obvious solutions. As you progress, the graphs grow larger, edges become trickier, and multiple paths may exist — but only one (or a few) will reach every node. The game trains your spatial reasoning and pattern recognition with every level.
Campaign Chapters
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Chapter 1 — First Steps (Levels 1-40)Small graphs with 4-8 nodes. Learn the mechanics and build your intuition for path-finding.
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Chapter 2 — Branching Out (Levels 41-80)Larger graphs with more connections. Dead ends appear and careful planning becomes essential.
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Chapter 3 — Complex Webs (Levels 81-140)Dense networks with crossing edges and false paths. Only precise route selection works.
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Chapter 4 — Master Class (Levels 141-200)The ultimate test. 20+ node puzzles that challenge even the sharpest minds.
What Is a Hamiltonian Path?
A Hamiltonian path is a concept from graph theory: a route through a graph that visits every vertex (node) exactly once. Named after mathematician William Rowan Hamilton, finding such paths is one of the classic problems in computer science. One Stroke turns this elegant mathematical challenge into a satisfying, accessible puzzle game anyone can enjoy.
Trophies and Achievements
One Stroke features 31 trophies tied to your progress and skill. Complete chapter milestones, solve puzzles under par time, beat streaks of levels without resetting, and conquer the entire 200-level campaign to earn bronze, silver, gold, and the elusive platinum trophy. Sign in with a free GameVolt account to sync your trophies across devices.
Cloud Save and Cross-Device Play
Your campaign progress, solve times, and trophy unlocks save automatically in your browser. Create a free GameVolt account to sync everything across devices — work through levels on your phone during your commute and pick up exactly where you left off on your laptop.
