One of the four Kepler-Poinsot solids. It consists of twenty intersecting
triangles.
It is a stellation of the
icosahedron and a faceting of the
dodecahedron.
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I started with this stellation of the icosahedron, which acts as a base
for the final peaks. This adds rigidity to the model. This method of
construction does require
Great Stella
however, since
Small Stella
can not create stellations like this. On the other hand, the nets for
this base stellation are very simple (five connected equilateral
triangles).
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Rather than build the whole base model first and then attach the final
parts to it, I prefer to stick the base parts to the final parts, and
then assemble the combined parts. I print the base parts very slightly
smaller to allow the final part's tabs to fold easily.
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Glue all the parts together. For the last part, I glued one tab, then
put glue on the other four tabs all at once before closing the last
part down over them.
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Here is a compound of the
great icosahedron with its dual.
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