# Beautiful Maths

## SEE THE ANSWER

## Lexicon

**Field:** mathematical structure on a set of elements with two operations, often named addition and multiplication, which obey certain rules.

**Finite field: **a field with a finite number of elements.

**Graph:** set of points, called vertices, linked by edges. A graph is used to describe relationships between objects.

**Example:** Let us consider four people (Alice, Bob, Camille and Dominique) the following graph makes it possible to visualize who is friends with whom: • Alice is friends with Bob and Dominique• Bob is friends with Alice, Camille and Dominique the following graph makes it possible to visualize who is friends with whom:

• Alice is friends with Bob and Dominique

• Bob is friends with Alice, Camille and Dominique