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Event. Festival Science 0+

fest nauk18October 12-14, 2018. A science festival will be held in Moscow - "Science 0+"

The festival takes place throughout the country and already has its own traditions.
More information about the festival can be found at:

We are waiting for you at the Expocentre Fairgrounds metro station Vystavochnaya.
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

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Archimedes, a scientist from the Ancient Greece, discovered 13 types of polyhedra, called now as Archimedean solids, which are also referred as semi-regular polyhedra.

Each of them is limited by different types of regular polygons where the polyhedral angles and identical polygons are equal. Furthermore, the same number of equal faces meets at each vertex. In the same order each of these solids can be inscribed into a sphere.

Natural polyhedra

Natural polyhedra

In natural environments regular polyhedra can be found in the form of crystals (minerals). 
Sodium sulphate reminds the shape of tetrahedron.

Practical use of paper models

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

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.

Polyhedron. What is it?

A polyhedron is a solid bounded by flat polygons, which are called faces. Sides of the faces are called edges, and their corners are called as vertices. Depending on the number of faces one can specify 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 can be found 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.

The Ministry of Defense in USA has the shape of a regular pentagon.

Divide the icosahedron (into parts)

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

Stellated octahedron - a challenging task

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A new and unusual way of making a model of Stellated polyhedron was discovered by a German mathematician and astronomer Johannes Kepler in 1619. 


icosahedron Birdhouse

Art. Lebedev Studio has offered a new birdhouse in the form of polyhedron.

Polyhedron as an emblem of the town

Polyhedron as an emblem of the town

The founders of the town called Mirniy, situated in Russia in Arkhangelsk region, put an image of the polyhedron, “big dodecahedron”, on to the flag and emblem of their town.