Sequence a series of matrix transforms so a single vector routes step-by-step through every gate on the plane, order is everything.
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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.
Origins
Chaining transform modules so a vector passes through ordered gates is composition of linear maps.
Requiring the waypoints in order is the original constraint.
Order is the whole difficulty, and it is the same lesson matrix multiplication teaches: transformations do not commute. Rotating then stretching lands somewhere different from stretching then rotating, which a chain of gates makes impossible to ignore.
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.
