5 (Platonic solids)
By Llisa | Published: October 5, 2011
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
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- each face is the same-sized square
- 3 squares meet at each corner
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The 5 Platonic Solids
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Tetrahedron
- 3 triangles meet at each vertex
- 4 Faces
- 4 Vertices
- 6 Edges
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Cube
- 3 squares meet at each vertex
- 6 Faces
- 8 Vertices
- 12 Edges
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Octahedron
- 4 triangles meet at each vertex
- 8 Faces
- 6 Vertices
- 12 Edges
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Dodecahedron
- 3 pentagons meet at each vertex
- 12 Faces
- 20 Vertices
- 30 Edges
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Icosahedron
- 5 triangles meet at each vertex
- 20 Faces
- 12 Vertices
- 30 Edges
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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.
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