Modular bases for rhombic dodecahedron (face-center cubic) packing
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A square and a hexagon with jigsaw fittings that can be assembled into a base for packing rhombic dodecahedrons.
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution — Share Alike
These tiles fit together like jigsaw pieces and will hold rhombic dodecahedrons in position for the two standard orientations of a face-centered cubic sphere packing. The pictures are self-explanatory. I didn't try to make the base liftable once assembled, so it's a little loose. However, the stacks hold together reasonably well.
I included models for the rhombic dodecahedrons themselves. The one with thick edges prints more reliably but uses more filament. In either case, you may need to pull off strands with tweezers.
You can find composed clusters here: https://www.printables.com/model/1571505-stackable-packings-of-rhombic-dodecahedra and they can be stacked without support. The dodecahedrons here are the same as in that printable, and the clusters also fit the bases.