**Geometric bodies are the basis of all the shapes we see every day; some are simple, like the cube and pyramid, others are complicated and have lots of sides. How many sides does a dodecahedron have?**

How many sides does a dodecahedron have? A dodecahedron is a three-dimensional figure with twelve faces that are pentagonal in shape. All faces are flat 2D shapes.

There are five Platonic solids, and the dodecahedron is one of them. Platonic solids are convex polyhedra in which the faces are formed by congruent regular polygons with the same number of faces meeting at each of their vertices.

A dodecahedron consists of 12 congruent pentagons with 3 pentagonal faces meeting at each of the 20 vertices. right Cue Maththere are two types of dodecahedrons: regular and irregular dodecahedrons.

## What is a dodecahedron and how many sides does it have?

The dodecahedron is derived from the Greek word “dōdeka”, meaning “12”, and “hédra”, meaning “face” or “base”, indicating that it is a polyhedron with 12 sides, or 12 faces.

Therefore, any polyhedron with 12 sides can be called a dodecahedron. It consists of 12 pentagonal faces.

## Home work

Imagine that you live in one of the Platonic solids and have a house at one of the vertices. The neighbors live in the other peaks. Every morning go jogging, run in a straight line, never turn around and never change your path. Is it possible to walk in a straight line and return home without passing through the neighbors’ houses? You would most likely assume the answer is “no”.

For over 2000 years, mathematicians have known about Platonic solids, but recently a group of 3 mathematicians, Jayadev Athreya, David Aulicino and Patrick Hooper, found the solution to this problem in a dodecahedron. The dodecahedron has 31 different such paths.