0.00 $
 0 item(s)

Divide the icosahedron (into parts)

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


4 Divide the icosahedron

It turns out that it is possible to make up an icosahedron using groups of more simple solids. One of such solids is a polyhedron in the shape of a tetrahedron!

In our case, three inner faces of the polyhedron should be slightly lower than those of the regular tetrahedron, as you can see in the figure. A regular triangle remains based on the polyhedron.

Combining these 20 “tetrahedra”, we get an icosahedron.

Just imagine how 20 totally identical polyhedra meet at a single point and make up a completely new polyhedron – icosahedron!

3 Divide the icosahedron

Video: “Dividing the icosahedron”

The following video, made by our partners, the team of “ART KOSEKOMA”, shows this transformation.


5 Divide the icosahedron

You will need 20 models to make an icosahedron. Download net.

Video: Making an icosahedron using 20 “tetrahedra”

Do you need a demonstration? Let’s try a paper model…



Dudeny dissection

Is it possible to cut a triangle into such several parts so that one can put a square together?...

Star of the Game of Thrones

  The popular television series "Game of Thrones" is interesting not only by the complex plot, the...

Polyhedra in a computer game

It is not often possible to encounter polyhedra outside of math textbooks. Even though such...

The living world inside a polyhedron

With spring's arrival, all the plants around come to life, foliage appears, everything turns...

The star of hope

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

School project

In the second half of the 19th century, a new teaching method was born in US schools - the project...

Polyhedra in architecture. Part 1

Architectural masterpieces located in different parts of the world reflect the human soul. Secret...