These two polyhedra have the following fundamental parameters:

The form of each side |
Triangle |
Square |

Number of sides |
8 |
6 |

Number of vertices |
6 |
8 |

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 solids.

So far, we have actively used glue to assemble polyhedrons from the Magic Edges sets. Moreover, we...

ARCHIMED (287 - 212 BC) - Ancient Greek mathematician, physicist and mechanic. Archimedes is the...

In this article we will introduce you to the technology of manufacturing geometric metal solids,...

In geometry the section which deals with three-dimensional figures is called stereometry. The word...

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

The “business card” of the Republic of Belarus is a new building of the National Library in Minsk....

The article in “Science and Life” (1989, №6, Cherenkov A. Khramov V.) tells about an interesting...