Name: What Is a Platonic Solid?
Uploaded: 2023-03-16T14:14:56.961Z
Channel: House of Math
Description: A Platonic solid is a special polyhedron where each face is a regular polygon. There are exactly five Platonic solids, and this video reviews them.

Euclid devoted the last part of his famous works “Elements” to the Platonic solids. This is the first known proof that exactly five regular polyhedrons exist.

A Platonic solid is a special polyhedron where each face is a regular polygon. There are exactly five Platonic solids, and this video reviews them.

A special type of polyhedron, where all the polyhedron’s faces are regular polygon

A three-dimensional figure with flat faces, where each face is a polygon

A polygon where all edges have the same length and all interior angles are of equal size

A polyhedron composed of four triangular faces. A regular tetrahedron is a Platonic solid, made up of four equilateral triangles.

A special case of the prism, where all 6 faces are squares. One of the Platonic solids.

A polyhedron composed of eight triangular faces. A regular octahedron is a Platonic solid, made up of eight equilateral triangles.

A polyhedron with 12 faces. A regular dodecahedron is a Platonic solid, made up of 12 pentagons.

A polyhedron with 20 faces. A regular icosahedron is a Platonic solid, made up of 20 equilateral triangles.

A triangle where all edges have the same length, and all interior angles are of the same size

A regular polygon with 5 edges and 5 vertices

Mathagon

Definition

Polyhedrons

Platonic Solids

Surface Area

Volume

What Are Solid Figures?

Introduction

Platonic solids are special polyhedrons where all their faces are regular polygons. There are exactly five Platonic solids, and this video reviews them. 