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There are five regular polyhedra. They are the tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
The tetrahedron is composed of four equilateral triangles.
Schläfli symbol: {4,3}
Dual: Octahedron
Surface Area: 6a2
Volume: a3
Vertices: 6, Edges: 12, Faces: 8
The cube is composed of six squares.
Schläfli symbol: {8,3}
Dual: Cube
Surface Area: 2a2√3
Volume: (1/3)a3√2
Vertices: 6, Edges: 12, Faces: 8
The octahedron is composed of eight equilateral triangles.
Schläfli symbol: {5,3}
Dual: Icosahedron
Surface Area: 3a2√(25 + 10√5))
Volume: (1/4)a3(15 + √5)
Vertices: 20, Edges: 30, Faces: 12
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The dodecahedron is composed of twelve pentagons.
Schläfli symbol: {3,5}
Dual: Dodecahedron
Surface Area: 5a2√3
Volume: (5/12)a3(3 + √5)
Vertices: 12, Edges: 20, Faces: 20
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The icosahedron is composed of twenty equilateral triangles.