Icosahedron

Topic

3D Geometry

Definition

An icosahedron is a three-dimensional shape with twenty flat triangular faces.

Description

The icosahedron is one of the five Platonic solids, known for its twenty equilateral triangular faces. It is a highly symmetrical shape, often studied in geometry for its aesthetic and mathematical properties. Icosahedrons are used in various fields, including architecture and art, to create visually appealing structures. In mathematics, they are important for understanding the properties of regular polyhedra and their role in spatial reasoning. In math education, icosahedrons help students explore the concept of symmetry and the relationship between different polyhedral shapes. For example, Euler's formula 

V − E + F = 2

can be applied to the icosahedron, where V is the number of vertices, E is the number of edges, and F is the number of faces.

The game Dungeons and Dragons 
includes icosahedron-shaped dice.

For a complete collection of terms related to 3D Geometry click on this link: 3D Geometry Video Collection.