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

Semi-Regular Polyhedrons

Semi-regular polyhedra are several groups of polyhedra: 1. Archimedean solids; 2. Catalan solids; 3....

What Magic Edges issue to start from?

Suppose you first saw the edition “Magic Edges” on the counter of a bookstore or on Internet...

How to master stereometry?

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

Stellated octahedron - a challenging task

This is a new, very unusual way to create a star octahedron model. The polyhedron itself was...

Prince Rupert's Cube

In issue 25 of the Magic Edges, we turned our attention to the fact that by cutting a cube with a...

Polyhedra in nature. Part 2

In the micro-world, polyhedra are found in the form of molecules, viruses and bacteria - the...

Polyhedra at a science festival

The festival of fascinating science was held in Moscow on April 24 and 25, 2015 at the physics...