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# Event. Festival Math 2018

On September 30, 2018, the best educational projects of Moscow will gather at one site, and through workshops, lectures and interactive tasks, they will help you to understand and love mathematics.

What awaits you at the festival?
The festival will be held in the format of a series of master classes, lectures, interactive activities for children and their parents.
From 11:00 to 18:00 in parallel in the 15 halls of the guests of the festival the most intense program awaits.
To get around the festival, to take part in all the activities "without recording" and complete the quests of the quest will take approximately 3-4 hours.

And, of course, we invite you to stick together a polyhedron and take it with you!

“Mathematical polyhedra from unfoldings: regular polyhedra, Archimedean solids, prisms, pyramids”
Polyhedra / 6 + /

### Archimedean Polyhedra

Archimedes, a scientist from Ancient Greece, discovered thirteen types of polyhedra, now called Archimedean solids, which are also referred to as semi-regular polyhedra.

### Mathematical properties of the Platonic solids

One can specify the following mathematical characteristics in each of the five Platonic solids:

1. The radius of the sphere circumscribing the polyhedron;

2. The radius of the sphere inscribed in the polyhedron;

3. The surface area of the polyhedron;

4. The volume of the polyhedron.

### Practical use of paper models

Quite often a question about a practical use of paper models pops up.  What is the point of paper modeling?

### Polyhedra in nature

In the natural environment, regular polyhedra can be found in the form of crystals (minerals). The form of the tetrahedron is transmitted by antimony sodium sulfate.

### Polyhedron. What is it?

A polyhedron is a solid bounded by flat polygons, which are called faces. The sides of the faces are called edges, and their corners are called vertices. Depending on the number of faces one can specify a tetrahedron (4 faces), pentahedron (5 faces), etc. A polyhedron is considered to be convex if it is located on one side of the plane of each of its faces. A polyhedron is called regular if its faces are regular polygons (i.e., where all sides and angles are equal) and all polyhedral angles at the vertices are equal. There are five types of regular polyhedra: tetrahedron, cube (regular hexahedron), octahedron, dodecahedron, icosahedron.

### Polyhedra in architecture. Part 5

Architects have used the elements of polyhedra in designing their constructions since ancient times. Nowadays this approach distinguishes buildings among thousands of others.

### Divide the icosahedron (into parts)

Is it possible to make up an icosahedron using more simple polyhedra?

### The star of hope

A star is an image of divine idea and will, due to them our Light and Universe were created and started to exist in Space.

### Stellated octahedron - a challenging task

This is a new, very unusual way to create a star octahedron model. The polyhedron itself was discovered in 1619 by the German mathematician and astronomer Johann Kepler.

### Birdhouse

Studio Artemy Lebedev (makes the design for the leading search engine Yandex) was proposed form of a birdhouse in the form of a polyhedron.

The correct polyhedron, the icosahedron, was chosen as the geometric shape.