Develop spatial imagination
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Truncated icosahedron. How to make pdf template
A polyhedron is obtained by successively cutting off each of the vertices of the icosahedron.
A truncated icosahedron is a semiregular convex polyhedron with two properties:
1. All faces are regular polygons of two types - a hexagon and a pentagon;
2. For any pair of vertices, there is a symmetry of the polyhedron (that is, a motion that translates the polyhedron into itself) that transforms one vertex to another.
The truncated icosahedron is one of the 13 solids of Archimedes.
Archimedean solids are semiregular polyhedra in the sense that their faces are regular polygons. Still, they are not the same, while the condition of one of the types of spatial symmetry: tetrahedral, octahedral, or icosahedral is preserved.
The main feature of this polyhedron is that its shape served as the basis for football manufacture. This becomes apparent after applying the black and white version of face painting.
In this case, we did not combine all the details into a single net, because if we print it on a single A4 sheet, the final scale of the assembled figure will be very small. To build a model, you can download a net in pdf format and print on two A4 sheets. Please note that the sheets are the same! The scan is made in the colors corresponding to the classic coloring of a football.
Net truncated icosahedron
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