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Topological Small Stellated Dodecahedron

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This is a stylized version of the small stellated dodecahedron. The idea here is that only true edges of the polyhedron should connect. The false edges that normally appear in a model with intersecting faces have been removed by hiding parts of each face, allowing the faces to pass through each other without collision. This lets you better see the internal structure of the polyhedron. A thickness has also been added to the surface to make it a proper solid polyhedron in its own right.

Here's how the model looks in Great Stella. It's not easy to make such a model, but with perseverance it is possible! Here is the .stel file (you need Great Stella or Stella4D to view this file).
This model was built from 12 solid parts, one for each face of the small stellated dodecahedron. These are the nets for one part, printed from Great Stella.
Here the nets have been assembled into one solid part.
The same part viewed from underneath.
The parts are glued to each other like this, with pairs glued at both ends of the true edges of the small stellated dodecahedron. Note how half way along the edge the parts weave through each other but do not touch. In a traditional model, the two faces would intersect here creating a false edge.
The same pair of parts viewed from below. I continued to glue a few more parts together in this way, but be careful, it will become hard to weave new parts into the structure if too many parts are already glued.
I think I glued about five parts together before deciding that any more would make it too hard to slot further parts into place. Once all the parts were finished, I wove them together without glue, just to get everything in place. Here's what it looked like just loosely assembled.
Then glue one part together at a time until it's complete. I started by gluing all parts together around an opposite pair of vertices, which helped hold everything in place.

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