Develop spatial imagination
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Divide the icosahedron (into parts)
It turns out that it is possible to make up an icosahedron using groups of more simple solids. One of such solids is a polyhedron in the shape of a 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. A regular triangle remains based on the polyhedron.
Combining these 20 “tetrahedra”, we get an icosahedron.
Just imagine how 20 totally identical polyhedra meet at a single point and make up a completely new polyhedron – icosahedron!
Video: “Dividing the icosahedron”
The following video, made by our partners, the team of “ART KOSEKOMA”, shows this transformation.
Model
You will need 20 models to make an icosahedron. Download net.
Video: Making an icosahedron using 20 “tetrahedra”
Do you need a demonstration? Let’s try a paper model…
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