Love For MathCreative Math Education

DIY Challenge 5: Why the 4x4 board fails

The 4×4 chessboard!

We tried finding a path for the Knight’s tour for a 4×4 grid.

Is this possible or not? What do you think is the reason for this?

What students worked out5

  • Student 3

    not possible to cover all. one corner remains if we start with any corner

  • Student 2

    not possible

  • Student 17

    Not possible.

  • Student 1

    Not possible because at least 1 square always remains

  • Student 4

    Not possible because we will have one square left