Proofs of Existence and Optimality · Constructive Proofs of Existence

Lesson 6

Nikolai Chukhin · Alexander S. Kulikov

Problem. Can this figure be cut into several equal parts? (In other words, does such a partition exist?)

We call two parts equal if they can be matched by rotating, shifting, and reflecting. Cutting can be done not only along the grid lines.

Mark the correct statements:

5 points

  1. It can be cut into two equal parts.

  2. It can be cut into three equal parts.

  3. It can be cut into four equal parts.