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Octahedron. How to make pdf template


The ancient Greeks gave the polyhedron a name according to the number of faces. "Octo" means eight, "hedra" means the face (octahedron - a solid with eight faces).

Therefore, the question - "What is an octahedron?", We can give the following definition: "An octahedron is a geometric solid of eight faces, each of which is a right triangle."


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

The octahedron 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 8;
The number of edges adjacent to the top is 4;
The total number of vertices is 6;
The total number of edges is 12;


The regular octahedron is composed of eight equilateral triangles. Each vertex of the octahedron is a vertex of four triangles. Therefore, the sum of flat angles at each vertex is 240 °.

The octahedron has a center of symmetry. The center of the octahedron has 9 axes of symmetry and 9 planes of symmetry.





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