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Interactive mathematics for conjecturing with your hands.

An interactive is not an illustration after the mathematics. It is a place where the mathematics can begin: move something, watch a constraint, and ask what remains possible.

A four by four arrangement of binary kolam tiles.

LIVE LAB · TILINGS AND INVARIANTS

The Kolam Tile Laboratory

Build a closed connected kolam from sixteen binary tiles, investigate legal moves in a 15-puzzle, and try to navigate between configurations in the same orbit.

Tile matchingConnectivityParityAlgorithms

Open the interactive Read the companion note

A rhythm for exploration

Play

Begin without instructions beyond the goal. Let the constraints become visible through failed and successful moves.

Understand

Name the patterns you notice, translate them into mathematical statements, and decide what would count as evidence.

Teach

Use the same object as a classroom investigation, with prompts that preserve room for student decisions.

More journeys are being prepared

Future laboratories will grow from geometry, algebra, number theory and mathematical games. Math Nomad will favour a small collection of carefully developed interactives over a long catalogue of disconnected demonstrations.

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© 2026 Mohan Rajendran · Math Nomad

Mathematics is better when it can be touched, tested and shared.

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