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Great Rhombicosidodecahedron

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  • Vertex description: 4.5/3.4.3
  • Faces: 62
  • Edges: 120
  • Vertices: 60
  • External facelets: 980
  • Dual: Great strombic hexecontahedron

This is the dual of the great strombic hexecontahedron. It has 980 external facelets to put together! Each vertex is surrounded by a triangle, a square, a pentagram, and finally another square which crosses back through the first one. Over two months passed making this model! I was also busy with other projects though, and even made some other models along the way, so it could be made much quicker.

Note: some people use the name "great rhombicosidodecahedron" to refer to the truncated icosidodecahedron, which confuses things somewhat!

You'll be making lots of these. 60 in fact. Five of these are required for the part below.
This is how I started, although I'd now recommend putting in the purple triangle pairs last. The parts above meet each other at a pinched edge, where the squares pass through each other. Using nets from Great Stella, there should be an already-glued tab on one part at these pinched edges, which can be glued under a face of the other part, adding strength.
Here is the same part upside-down. A part like this was also last to be put in, minus the purple triangle pairs, and without gluing the pinched edges together until the whole piece was in place on the final model. Then attaching the last five triangle pairs completes the model.
You'll also need 20 of this part, to connect the above parts together.
Starting to take form.
More than half way now!
The completed model, viewed down a 5-fold rotational symmetry axes.
The view down a 3-fold rotational symmetry axes.
The view down a 2-fold rotational symmetry axes.
Here's a close-up shot of the detail in the model.
Another close-up.
Another close-up.
These three models are related to each other. They all share the same set of vertices and edges. Four faces surround a vertex in each model, and you may think of these as being two pairs, chosen from a set of three available pairs: (1) a pair of decagrams, (2) a triangle and a pentagram, and (3) a pair of intersecting squares. The great dodecicosidodecahedron has pairs (1) & (2). The great rhombidodecahedron has pairs (1) & (3). The great rhombicosidodecahedron has pairs (2) & (3).

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