Can you solve it? The Fields medals for beginners

The winners of the Fields medal were announced last week. Up to four mathematicians under the age of 40 are given the award every four years.

Marina Viazovska won for her work on how to pack spheres in 24 dimensions.

Today's puzzle is about how to pack beer in three dimensions.

This is the first thing. There is a crate issue.

Can you tell me if it's possible to put more than 40 cans of beer in a crate that has dimensions of 8 x 2.6?

James Maynard, a 35-year-old from the UK, won a field medal for his many prime results. There is a puzzle about the number 13 which is a prime number.

There are two The chairs are with a mate.

Each wall of the room has the same number of chairs as the other wall.

June Huh, aged 39, from the US, won for her results linking graph theory. One way to think of a chessboard is as a network of points that are connected to each other.

There are three. People playing chess.

A chessboard is 9x9 There is a grid with black and white cells. There are different people on the square. Is it possible for each square to have a different person on it?

A Frenchman named Hugo Duminil-Copin won a medal for his work in statistical physics. I couldn't find a puzzle about this area. Please put the suggestion in the comments.

I will return to the UK at 5pm with the answers.

There are noSPOILERS.

You can get the Guardian in newspaper form on Saturday if you like this column. The supplement will be free with the paper. There are many different types of word puzzles and a guide of how to solve them, as well as a selection of Japanese logic grid puzzles. Don't forget to watch it.

I put a puzzle here on Mondays. I like to look for puzzles. Email me if you want to suggest one.

I'm the author of several books of puzzles and children's books. The greatest ever quiz book is out now.

I give talks about math and puzzles to schools. Please let us know if your school is interested.