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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.
Meaning of each platonic solid?
There are 5 platonic solids which are the only 5 regular polyhedra (possible).Plato attributed 4 of them to the 4 elements:Fire ≡ TetrahedronEarth ≡ CubeAir ≡ OctahedronWater ≡ IcosahedronAristotle added the fifth element "Ether" saying the heavens were made of it; he did not associate the fifth platonic solid, the Dodecahedron, to it.
What is the Platonic Solid and How many are there and What are their names?
Answering your questions one at a time.1 - What is a platonic solid?A platonic solid is one with all faces congruent polygons, meaning that they all have the same number of sides, vertices and angle size.2 - How many are there?There are only and exactly five.3 - What are their names?TetrahedronCube (but when talking about Platonic solids, it is commonly referred to as a "hexahedron").OctahedronDodecahedronIcosahedronNote: These individual platonic solids can be identified by their unique Schlafli Symbol. This is demonstrated through the following:{p,q}p = Number of vertices at each faceq = Number of faces at each vertexSo for a dodecahedron, the Shlafli Symbol would be {5,3}, because a pentagon has five {5, or p} vertices, and at any individual vertex three {3, or q} faces meet.Understand? Great!
What is the name of the Platonic solid for which each face has a one-fourth probability of turning up when it is rolled?
tetrahedron
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.
