The 'Platonic solids' are three-dimensional shapes formed by putting together identical regular faces. Every corner and every edge is identical to every other corner and edge. There are five such 'solids': the tetrahedron, cube, octahedron, dodecahedron and icosahedron. The 'Archimedean solids' are three-dimensional shapes that are formed when more than one type of repeating face is used. The corners are still identical with each other. Shapes include the famous truncated icosahedron (better known as the football) composed of 12 pentagons and 20 hexagons.

Concepts

tetrahedron, platonic solids, polyhedra

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Additional Tags

dodecahedron, icosahedron, octahedron, archimedean solid, euler's law, platonic solid, cube

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Classroom Considerations

• Knovation Readability Score: 4 (1 low difficulty, 5 high difficulty)

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Common Core

HSG-GMD.B.4