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Great Dodecicosidodecahedron

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  • Vertex description: 10/3.5/2.10/3.3
  • Faces: 44
  • Edges: 120
  • Vertices: 60
  • External facelets: 180
  • Dual: Great dodecacronic hexecontahedron

Dual of the great dodecacronic hexecontahedron.

After building part of this model I decided it was too flexible for my liking. I used "Selection>Mouse Selection Mode>Create Facets" to create the small triangles shown here that fit across each vertex.
These can be glued to the existing tabs inside, and make the model a lot more robust. Tip: you can set the net-spacing to zero when you print out the triangles since they don't need tabs. This also gives you the advantage that the negative regions between triangles are also the same triangles, so there's less cutting required.
Close-up of model.
Another close-up of model.
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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