Transit

Sequence a series of matrix transforms so a single vector routes step-by-step through every gate on the plane — order is everything.

How to play

A start vector must pass through an ordered set of waypoint gates. You build a chain of transform modules; the vector follows the path your chain creates, applying each matrix in turn.

• Tap modules to append them to your chain, left to right — matrix multiplication is not commutative, so order matters.
• The vector routes through the gates one transform at a time; every gate must be hit in sequence.
• Toggle Show eigenvector rails to reveal the special directions a matrix only stretches and never rotates.
• Thread all gates in order to clear the level.

Controls

• Desktop: click modules to add them, Undo to remove the last, and Reset to clear the chain; pick Easy/Medium/Hard and Daily/Practice from the bar.
• Phone & tablet: tap the modules and buttons — fully touch-friendly.

Tips & strategy

• Use the eigenvector rails: aligning your vector with an eigenvector means the next matrix only scales it, keeping your aim predictable.
• Plan the whole route before committing — undo is cheaper than a wrong final order.
• A rotation followed by a scale lands somewhere very different than a scale followed by a rotation.

What you'll learn

Transit reimagines composition of linear maps as a routing puzzle, complete with eigenvectors and eigenvalues.

• Skills: linear algebra, linear transformations, eigenvectors and eigenvalues
• Best for: advanced high school / college
• For parents & teachers: linear maps, eigenvectors and eigenvalues.

About Transit

Transit reimagines composition of linear maps as a routing puzzle, complete with eigenvectors and eigenvalues surfaced as visible rails. It's an original, free browser game with difficulty tiers plus daily and practice modes.

A free, original browser game on PlayPendium — no download, no install. Browse all games →