0.00 $

0 item(s)

These two polyhedra have the following fundamental parameters:

The form of each side |
Pentagon |
Triangle |

Number of sides |
12 |
20 |

Number of vertices |
20 |
12 |

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

What does this mean for us? Based on a dodecahedron, an icosahedron can be constructed.

To do this, on each of the 12 faces of the dodecahedron, we select the face center. By connecting all the centers, we obtain an icosahedron. This obtained icosahedron will be exactly inscribed in the original dodecahedron.

A similar procedure can be performed on an icosahedron and obtained from it a dodecahedron.

This property indicates that the icosahedron and the dodecahedron form a dual pair.

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

An interesting feature in the transition from a dodecahedron to an icosahedron is the emergence of three polyhedra belonging to the class of semi-regular words, in other words, Archimedean solids.

The invention of the calendar is a remarkable event for humanity. The fact that a year consists of...

This article will introduce you to the technology of manufacturing geometric metal solids used by...

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

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

Euler’s Formula for polyhedra is a remarkable mathematical formula connecting the number of...

Is it possible to conduct additional school classes in geometry collecting models of polyhedra? Of...