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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?

Tetrahedron

Cube (but when talking about Platonic solids, it is commonly referred to as a "hexahedron").

Octahedron

Dodecahedron

Icosahedron

Note: 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 face

q = Number of faces at each vertex

So 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!

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Q: What is the Platonic Solid and How many are there and What are their names?
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