Simple Hamiltonian: One Line, Number Trail & Cover-All No-Code Puzzle Generator

Hand-drawing one-line puzzles and second-guessing whether they're even solvable?

Generate them instead — and know each one has exactly one answer.

OFFLINE DOCUMENTATION HERE!

Simple Hamiltonian makes cover-all path puzzles for Unity: the kind where a single unbroken line fills every tile on the grid, visiting each one once. It builds them, proves they're uniquely solvable, and hands them to you as ready-to-use assets. You bring the movement, input, and art — it handles the puzzles.

WHAT IT MAKES

• One-line "cover-all" puzzles — fill every tile in a single continuous path

• Free mode (start and end anywhere) or Fixed mode with a set start, end, and numbered checkpoints

• Twistier or gentler boards with coverage and minimum-turn controls

• Make one puzzle, or a whole pack in a single click

VERIFIED UNIQUE

The part most generators skip.

• Plenty of tools make a board that's solvable. Few prove it has only one solution.

• Simple Hamiltonian checks every board and tells you straight: one solution, many, or not yet proven.

• Ship levels you KNOW have a single answer — fair and satisfying, no lucky guessing.

• Or lean the other way: multiple-solution boards make great relaxed, casual levels. Every board is clearly labeled, so you always ship exactly what you intend.

• It always finishes — built-in limits mean a check can never freeze your editor.

RATED DIFFICULTY

• Every verified-unique board gets a 1–5 star rating from how much work it takes to solve.

• Ask for a target — "give me 3-star boards" — and it rolls until it finds them (running off the main thread, so the window never locks up).

• Sort a pack easy-to-hard, gate progression, or match difficulty to the player. The rating is stored on the asset, ready to read at runtime.

SQUARE AND HEX

• Both grid shapes, from the same generator.

• Square (four directions) and hexagonal (six directions).

• Flip one toggle and everything adapts — the generator, the checker, and the rules. No extra setup.

GENERATE YOUR WAY

• A no-code window: set it up, hit Generate, preview the results, and save the ones you like.

• One-click Auto configures a board that verifies for your grid — no trial and error hunting for settings that work.

• Batch whole packs without the editor freezing — generation runs off the UI thread, with a live progress bar and a Cancel button.

• Single puzzles or full packs, stored as assets you drag straight into a scene.

• Reproduce any board from a short seed — share the seed, not the data.

• Or generate at runtime from code, even in the background behind a loading screen — perfect for endless and daily modes.

PLAY IT RIGHT AWAY

• A complete, ready-to-play demo scene is included — not a tech screenshot.

• A landing menu, curated packs or random generation, drag-to-draw play, checkpoints, a win screen, and sound.

• A built-in auto-solver plays back any board's verified solution.

• Drop in your own tile and character art, or run it with the included placeholders.

DROP IT INTO YOUR GAME

• The puzzle engine has no dependencies and works in any project.

• A clean rules layer tells you which moves are legal and when a board is solved — wire your own controls in minutes.

INCLUDES

• A ready-to-play demo scene

• Square and hex support

• Free and Fixed modes with ordered checkpoints

• Verified uniqueness plus a 1–5 star difficulty rating

• Full HTML documentation (multi-page and single-page)

• One-click demo builders (included under Editor/Tools)