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Platonic solids

Platonic solids

A platonic solids is regular or convex polyhedra with congruent faces of regular polygons and the same number of faces meeting at each vertex. There are only five platonic solids, they are Tetrahedron, Cube or hexahedron, Octahedron, Dodecahedron and Icosahedron.

These shapes are named after the ancient Greek Philsopher Plato, in his Timaeus ca in 350 BC. Pluto speculated this five shapes with the fundamental components of the physical universe. He equated tetrahedron with the "element" fire, cube with earth, icosahedron with water, octahedron with air, and dodecahedron with the stuff of which the constellations and heavens were made. Naturally, the tetrahedron, cube, and octahedron all occur in crystal structures.

Tetrahedron is 3 sided equilateral triangle which has 4 faces, 4 vertices and 6 edges.

Cube or hexahedron is 4 sided square, which has 6 faces, 8 vertices and 12 edges.

Octahedron is 3 sided equilateral triangle, which has 8 faces, 6 vertices and 12 edges.

Dodecahedraon is 5 sided regular pentagon, which has 12 faces, 20 vertices and 30 edges.

Icosahedron is a 3 sided equilateral triangle, which has 20 faces, 12 vertices and 30 edges.

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Daily Maths Topic Today - platonic solids.

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