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Topological Small Triambic Icosahedron

Dual of the small ditrigonal icosidodecahedron, and a stellation of the icosahedron. This is a stylized version of the polyhedron. The idea is that only true edges of the polyhedron should connect. The false edges that normally appear in a model where faces intersect but don't share an edge have been removed by hiding parts of each face, allowing the faces to pass through each other without collision. I call this a topological model, as it highlights the true topology of the polyhedron. This lets you better see the internal structure of the polyhedron.

Here's the model in Great Stella. It's not easy to make such a model, but with perseverance it is possible! In Stella the pieces have a thickness, but when printing the nets I only printed and used the big outer panels. Here is the .stel file (you need Great Stella or Stella4D to view this file).
Here are the first three pieces glued together around a vertex. I used thicker paper for this model, to add strength since it would be more flimsy than usual. I cut the parts out completely, with no tabs, and used thinner paper to create small caps to fit under each vertex to hold parts together.
Same as above, but turned over and with an extra piece sitting in place below the vertex (not glued yet).
Some more pieces. Be careful to seave the parts together properly, and not to glue closed an area that needs another part below it.
Coming along nicely.

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