Regular Polyhedra

What is a Polyhedron?

Polyhedron is a three dimensional figure made up of sides called faces, each face being a polygon. A polygon is a two dimensional figure made up of line segments called edges that are connected two at a time at their endpoints. In a polyhedron, several polygonal faces meet at a corner (vertex). When all the edges of the polygon are of equal length the polygon is called regular. An equilateral triangle and a square are examples made up of three and four edges respectively. Polygons whose sides and angles are not of equal measure, are called irregular. Regular Polyhedra is also known as Platonic Solids. There are only five platonic solids.

Equilateral triangles

-Tetrahedron

3 faces at each vertex

-Octahedron

4 faces at each vertex

-Icosahedron

5 faces at each vertex

Squares

-Cube (hexahedron)

3 faces at each vertex

Pentagons

- Dodecahedron

3 faces at each vertex

Here are short explanations of some Polyhedra…

Tetrahedron

This is the simplest of all the polyhedra. It uses the least number of faces to enclose any three-dimensional space. The polygon that makes up these faces is also the simplest polygon. Tetrahedron has 4 vertices, 6 edges and 4 faces.

Hexahedron

Hexahedron is the most common polyhedron. ...