TOK 知識論
Evidence and Proof · Lesson 1 · Mathematics: Can you prove it?
Experiment · Can you prove it?

The broken chessboard

Two opposite corners have been cut off a chessboard. 62 squares are left. A domino covers two squares side by side, across or down. Can you cover all 62 squares with 31 dominoes?

Tap a square, then a square next to it, to lay a domino, or drag from one square to the next. Tap a domino to pick it up.

0/31dominoes placed
Attempts: 0 · Most dominoes: 0

Stuck?

Have a go first. Hints appear after your first attempt.

The broken chessboard

Think about the colours of the squares each domino covers.

Write your own explanation before you look at the proof.