0.00 $
 0 item(s)

Dual pairs of polyhedra. Part 2

What is the relationship between an octahedron and a cube?

These two polyhedra have the following fundamental parameters:




The form of each side



Number of sides



Number of vertices



If we pay attention to the number of sides and vertices of these two polyhedra, then they are the opposite.

On the basis of a hexahedron, an octahedron can be constructed. To do this, we select the center of the face on each of the 6 faces of the hexahedron. By connecting all the centers together we obtain an octahedron. This obtained octahedron is exactly inscribed in the original hexahedron.


A similar procedure can be done on an octahedron and get a cube out of it.
This property indicates that the octahedron and the hexahedron form a dual pair.

Video from our partners - the team "ART KOSEKOMA", clearly demonstrates this transformation.

An interesting feature in the transition from a cube to an octahedron is the appearance of three polyhedra belonging to the class of semi-regular ones, in other words Archimedean bodies.


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 star of hope

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

Archimedean polyhedra

< Archimedes, a scientist from the Ancient Greece, discovered 13 types of polyhedra, called...

Octagonal clock

The Italian company BULGARI (Bulgari), founded in 1884, actively uses for advertising purposes the...

Polyhedra on the stamps

Stamps cover all significant events happening in the world. Much attention was paid to polyhedra...

Polyhedron. What is it?

A polyhedron is a solid bounded by flat polygons, which are called faces. Sides of the faces are...

Polyhedra in architecture. Part 5

Architects have used the elements of polyhedra in designing their constructions since ancient...