I assembled this using Stella 4d, software available here.
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RobertLovesPi.net 
I think I added the same model on Wikipedia, extending as a uniform infinite polyhedron if you continue it. Mine also has a central icosahedron and octahedra around it.
Image:
https://en.wikipedia.org/wiki/File:Icosahedron_octahedron_infinite_skew_pseudoregular_polyhedron.png.
Article:
https://en.wikipedia.org/wiki/Skew_apeirohedron#Uniform_skew_apeirohedra
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Cool — thanks! 🙂
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