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There are 5 platonic solids which are the only 5 regular polyhedra (possible).
Plato attributed 4 of them to the 4 elements:
- Fire ≡ Tetrahedron
- Earth ≡ Cube
- Air ≡ Octahedron
- Water ≡ Icosahedron
Aristotle added the fifth element "Ether" saying the heavens were made of it; he did not associate the fifth platonic solid, the Dodecahedron, to it.
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What does each platonic solid represent?
Platonic solids are 3D shapes formed using only regular shapes. Only 1 type of regular shape is used to make a platonic solid. Platonic solids are the simplest and purest form of 3D shapes.
Is a cylinder a platonic solid?
No. All the faces of a Platonic solid are identical regular polygons.
What are the properties of a platonic solid?
A Platonic solid is a regular, convex polyhedron. The same amount of edges must meet at each vertex, all the faces need to be uniform, and all the dihedral angles must be the same.
Which platonic solids are prisms?
A cube is the only platonic solid which is a prism.
What makes a solid a regular platonic solid?
A Platonic solid is a solid all of whose face are regular and congruent polygons.There are five of these:A Tetrahedron. Four faces, each an equilateral triangle.Ad InfoA Hexahedron (Cube). Six faces, each a square.An Octahedron. Eight faces, each an equilateral triangle.A Dodecahedron. Twelve faces, each a regular pentagon.An Icosahedron. Twenty faces, each an equilateral triangle.
