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The ancient Greeks gave the polyhedron a name according to the number of faces. “Ikosi” means twenty, “hedra” means a face (Icosahedron is a solid with twenty faces).

Therefore, the question “What is an icosahedron?” Can be given the following definition: “An icosahedron is a geometric solid of twenty faces, each of which is a right triangle.”

The polyhedron belongs to regular polyhedra and is one of the five Platonic solids.

The icosahedron has the following characteristics:

The face type is a regular triangle;

The number of sides at the verge - 3;

The total number of faces is 20;

The number of edges adjacent to the top is 5;

The total number of vertices is 12;

The total number of edges is 30.

The regular icosahedron is composed of twenty equilateral triangles. Each vertex of an icosahedron is a vertex of five triangles. Therefore, the sum of flat angles at each vertex is 270 °.

The icosahedron has a center of symmetry - the center of the icosahedron has 15 axes of symmetry and 15 planes of symmetry.

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