What does platonic solid mean

It is a platonic solid which has a three-dimensional shape with all faces as triangles. The properties of a tetrahedron are:. A cube is a 3D solid object with 6 square faces and all the sides of a cube are of the same length. The cube is also known as a regular hexahedron that is a box-shaped solid with 6 identical square faces.

The properties of a cube are:. An octahedron is a polyhedron with 8 faces, 12 edges, and 6 vertices and at each vertex 4 edges meet. The faces of an octahedron are shaped like an equilateral triangle.

The properties of an octahedron are:. A dodecahedron is a platonic solid that consists of 12 sides and 12 pentagonal faces. The properties of a dodecahedron are:. The properties of an icosahedron are:. Platonic solids are considered to be only 5 solid shapes. Here are the reasons why there are only 5 shapes and not more:. According to Euler's formula, for any convex polyhedron, the Number of Faces plus the Number of Vertices corner points minus the Number of Edges always equals 2.

Let us take apply this in one of the platonic solids - Icosahedron. Example 1: Demi wants to know the name of the platonic solid shown below. Can you name the platonic solid for her? Solution: The given solid has 20 triangular faces and 5 triangles are intersecting at each vertex, which is a property of an icosahedron.

Hence the given solid is an icosahedron. Example 2: Rita was given the following information about a platonic solid that it has 3 faces meeting at vertices and has 4 vertices. Can you find out which platonic solid is this? Solution: Out of all platonic solids, only the tetrahedron has 4 vertices. Martin, Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.

In geometry, a Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken, They're called the Platonic solids [Fig. A Platonic solid has certain characteristics by definition. First of all, its faces are all the same size. For instance, a cube, the most well-known of the Platonic solids, has a square on every face, so all Drunvalo Melchizedek, A Platonic solid is a convex multifaceted 3-D object whose faces are all identical polygons, with sides of equal length and angles of equal degrees.

A Platonic solid also has the same number of faces meeting at every vertex. The best-known Clifford A. Pickover, A Platonic solid is a regular 3-dimensional polyhedron. The 1-skeleton of a polyhedron is the graph that has as its vertices and edges the vertices and edges , respectively, of that polyhedron.

The tetrahedral graph is the 1-skeleton of the Kenneth H. Rosen, A Platonic solid is a regular, convex polyhedron. Constructed of congruent regular polygonal faces with the same number of faces meeting at Edestin is the Batteries.

CBD is not a platonic solid , and is formed from Retrieve it. If by any chance you spot an inappropriate image within your search results please use this form to let us know, and we'll take care of it shortly. Term » Definition. Word in Definition. Princeton's WordNet 0. Wiktionary 0. Freebase 0. Matched Categories Polyhedron. How to pronounce platonic solid? Alex US English. David US English. Mark US English. Daniel British. Libby British.

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