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A polyhedron is obtained by combining two geometric solids - an octahedron and a cube.

The use of two colors - blue for the octahedron and yellow for the cube allows you to see, then after combining the centers of the polyhedra coincided, and each of the vertices counts belonging to the original polyhedron.

The edges of the octahedron and cube are as follows:

The edges of the octahedron and cube are as follows:

To create a polyhedron, use the following nets. Eight pieces for the octahedron (blue) and six pieces for the cube (yellow).

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What is the relationship between an octahedron and a cube?

(challenging task called “a star”)