Regular Polyhedrons

There are five regular polyhedra: a tetrahedron, an octahedron, a cube (also known as a hexahedron), a dodecahedron, and an icosahedron:

Regular polyhedra tetrahedrontetrahedron
Regular polyhedra octahedronoctahedron
Regular polyhedra cubecube
Regular polyhedra - dodecahedrondodecahedron
Regular polyhedra - icosahedronicosahedron
  
 
 
Why are these five geometric solids called regular polyhedrons?

The sides of regular polyhedra are regular polygons, and regular polygons are those for which, in turn, all sides are equal (e.g., triangle, square).

The reason the word is correct is because all regular polyhedra are made up of regular polygons. But here we must take into account a small but very important detail. Regular polyhedra can consist only of homogeneous polygons (i.e., cubes can only come from squares, and so on). In terms of mathematics, regular polyhedra consist of homogeneous polygons.

Find out about the properties of these geometric solids here.
 

Popular

Dudeny dissection

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

Gift of FIFA

The geometric shape of the box from a distance resembles a rounded shape, which emphasizes the...

Polyhedron as an emblem of the town

The founders of the city of Mirny, located in the Arkhangelsk region, placed a polyhedron, the...

On Cosmonautics Day, let's bring the stars

  There are coincidences, which we do not even suspect. April 12 - Cosmonautics Day!...

Polyhedron. What is it?

A polyhedron is a solid bounded by flat polygons,...

Dual pairs of polyhedra

What does the dodecahedron and icosahedron have in...

Polyhedra in the cinema

Modern cinema has tried to attract the attention of the viewer, using geometric forms of "alien...