5 (Platonic solids)

How many Platonic solids are there?  Only 5!

Definition from Math is Fun:

A Platonic Solid is a 3D shape where:

  • each face is the same regular polygon
  • the same number of polygons meet at each vertex (corner)

Example: the Cube is a Platonic Solid

  • each face is the same-sized square
  • 3 squares meet at each corner

The 5 Platonic Solids

Tetrahedron Tetrahedron

  • 3 triangles meet at each vertex
  • 4 Faces
  • 4 Vertices
  • 6 Edges
Cube Cube

  • 3 squares meet at each vertex
  • 6 Faces
  • 8 Vertices
  • 12 Edges
Octahedron Octahedron

  • 4 triangles meet at each vertex
  • 8 Faces
  • 6 Vertices
  • 12 Edges
Dodecahedron Dodecahedron

  • 3 pentagons meet at each vertex
  • 12 Faces
  • 20 Vertices
  • 30 Edges
Icosahedron Icosahedron

  • 5 triangles meet at each vertex
  • 20 Faces
  • 12 Vertices
  • 30 Edges

Images courtesy of Wikipedia

Powers of 10 Project

From Wolfram Mathworld…  Click here to make models of the 5 Platonic solids.  Print them on a piece of card, cut them out, tape the edges, and you will have your own platonic solids.

CubeNet
DodecahedronNet
IcosahedronNet
OctahedronNet
TetrahedronNet
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