Ideas of visual mathematical models.

The sum of exterior angles of a convex polygon is 360°.

What’s the sum of squares of first n natural numbers?

Everyone remembers how to find the area of a rectangle. It turns out, that is enough to find the area of a circle.

To find the area of a circle, knowing how to find the area of a triangle is enough.

The formula for the area of a trapezoid can be derived from the one for the area of a rectangle.

To remember how the area of a trapezoid is found, knowing how to find the area of a triangle is enough.

What is the minimal number of parts an equilateral triangle should be cut into so that a square can be formed rearranging them?

Drawing a parabola with a thread according to its geometric definition.

A ball rolling down the slide in a parabolic billiard always makes it to the pocket!

A cardboard model of a dodecahedron — one of the five regular polyhedra.

Three triangular mirrors, some duct tape and a triangle painted in two colors, combined with the theory of reflection groups allow you to demonstrate an interesting model of a classic soccer ball to your friends.

A simple to do demonstration that the number π equals “three and change”.