Can you tile a chessboard with two missing squares?

A chessboard with two domino tiles on top of it.

Problem statement

If you remove two opposite corners of a chessboard, can you still tile it with 2 x 1 rectangles?

In other words, looking at the image above, can you cover the whole chessboard with 2 x 1 domino tiles, except for the top-left and bottom-right corners?

Solvers

Congratulations to the ones that solved this problem correctly and, in particular, to the ones who sent me their correct solutions:

  • David H., Taiwan;
  • Kees de L., Netherlands;

Know how to solve this?

Join the list of solvers by emailing me your solution!

Solution

I'll share the solution to this problem after it has been live for 2 weeks.

Don't forget to subscribe to the newsletter to get bi-weekly problems sent straight to your inbox.

Espero que tenhas aprendido algo novo! Se sim, considera seguir as pisadas dos leitores que me pagaram uma fatia de pizza 🍕. O teu pequeno contributo ajuda-me a manter este projeto grátis e livre de anúncios aborrecidos.

Artigo anterior Próximo artigo

Blog Comments powered by Disqus.