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Small Stellated Dodecahedron

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One of the four Kepler-Poinsot solids. It consists of twelve intersecting pentagrams. As the name suggests, it is a stellation of the dodecahedron. It is also a faceting of the icosahedron.

First, a tip about folding. After scoring all the edges and cutting out the net, I suggest folding the long edge shown before cutting the wedge out at its centre. It may not fold as evenly towards the tapered ends when that wedge is gone.
I use a pentagon at the base of each spike to add rigidity.
Finally, assemble the parts as you would a dodecahedron.
A stack of these models can be made, each scaled by the golden ratio with respect to the next one in the stack. The models fit together perfectly, and various points, lines, and planes align with each other as if by magic.
Here is the same stack viewed from above. Even the shadow is interesting!
Here's a topological version. In this version parts of each face have been cut away so that only faces that truly share an edge are still connected. Where two faces would normally intersect to cause a false edge, now they weave through each other without collision.
Here is a compound of two small stellated dodecahedra, having overall octahedral symmetry.
And a compound of five small stellated dodecahedra, having full icosahedral symmetry overall.

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