How to make a right icosahedron

Regular polyhedron is called a convex polyhedron if all its faces represent are equal, regular polygons, with each vertex converges to the same number of edges. There are five regular polyhedrons – the tetrahedron, octahedron, icosahedron, hexahedron (cube) and the dodecahedron. An icosahedron is a polyhedron the faces of which are twenty equal right triangles.

How to make a right icosahedron
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Instruction

To construct an icosahedronand use the cube to build. Denote one of its faces, SPRQ.

How to make the correct <strong>icosahedron</strong>

Swipe two segments AA1 and BB1, so that they were connected to the middle of the cube edges, that is, as = AP = A1R = A1Q = BS = BQ.

On segments AA1 and BB1 set aside equal periods of CC1 and DD1 length n so that their ends were at equal distances from the edges of the cube, i.e. BD = B1D1 = AC = A1C1.

Periods of CC1 and DD1 is the rib construction of the icosahedron. Constructing line segments CD and C1D, you will receive one of the faces of the icosahedronand – CC1D.

Repeat building 2, 3 and 4 for all faces of the cube - the result is inscribed in a cube right polyhedron – the icosahedron. With the help of a hexahedron, you can draw any regular polyhedron.

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