One Line Draw
What is One Line Draw?
One Line Draw (One Line) is a Graph-Theory and Eulerian-Path puzzle. The technical core involves "Single-Stroke Navigation"—connecting all edges in a geometric figure without retracing any line. It is a test of Topological Visualization.
Description
Connect all the dots on a geometric grid using a single, continuous stroke. Players must visualize the entire path beforehand, as backtracking is prohibited in this test of spatial logic.
How to Play
Drag your finger to connect all the dots. The gameplay is Continuous Stroke Puzzle: fill the entire shape without lifting your finger. Interaction involves Node-Counting—identifying "Odd-Degree" vertices (dots with an odd number of connecting lines) to determine the starting point.
How to Get High Scores in One Line Draw
Solving complex shapes hinges on "Odd-Node Identification." In graph theory, a path can only be completed in one stroke if it has Exactly 0 or 2 "Odd Nodes." If you see a dot with 3 or 5 lines coming out of it, you Must start your drawing there. Starting at an "Even Node" when odd nodes exist will always lead to a logical dead-end.
Frequently Asked Questions
Q: Can I cross a line I already drew?
No. The game logic treats each edge as a "Single-Use Asset." Once a path is filled, it becomes a "Solid Wall" that cannot be intersected.
Q: What is the "Red Line"?
Some levels have a "One-Way" line (marked with an arrow). You can only pass through this edge in the specified direction, which further restricts your pathing options.
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