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Divide the icosahedron (into parts)

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Is it possible to make up an icosahedron using more simple polyhedra?


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It turns out that it is possible to make up an icosahedron using the groups of more simple solids. One of such solids is a polyhedron in the shape of tetrahedron!

In our case three inner faces of the polyhedron should be slightly lower than those of the regular tetrahedron, as you can see in the figure. Regular triangle still remains in the basis of the polyhedron.

Combining these 20 “tetrahedra” together, we get an icosahedron.

Just imagine how 20 totally identical polyhedra meet together at a single point and make up a completely new polyhedron – icosahedron!

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Video: “Dividing the icosahedron”

The following video, made by our partners, the team of “ART KOSEKOMA”, shows this transformation.


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You will need 20 models to make an icosahedron.

Video: Making an icosahedron using 20 “tetrahedra”

Do you need a demonstration? Let’s try a paper model…


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