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Great Dodecahedron

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One of the four Kepler-Poinsot solids. It consists of twelve intersecting pentagons. It is also a stellation of the dodecahedron, and a faceting of the icosahedron.

To give the model internal support, I printed out three big pentagons to fit inside, and built three of the star parts shown on the left.
The three strengthened parts fit together, with other trihedral dimples filling in the gaps to complete the model.
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.

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