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Stackable packings of rhombic dodecahedra — image 1
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Stackable packings of rhombic dodecahedra

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Rhombic dodecahedral skeletons printed together for stacking and observing the lattice.

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Model information

Category
Math
License
Creative Commons — Public Domain

I updated the photographs since the originals did not print well. For some reason my printer leaves a lot of threads as it moves between the small spots on each layer. Lowering the print temperature helped, but other adjustments had little effect. The filament made a difference as well, with the black filament being the worst. It may have absorbed some moisture.

For another way to build the same kind of lattice, see https://www.printables.com/model/1561669-ball-and-stick-components-for-rhombic-dodecahedron

There is a single dodecahedron, four packed in a layer, and three packed in a layer for an alternate orientation. The last one is built with a support that is easy to snap off.

I included alternatives with thicker edges that should print more reliably, but still leave some hanging threads that need to be removed. You can eliminate the very thin threads be applying light heat such as holding a few inches above a candle flame if you don't have a heat gun.

The thin-edge ones are a little fragile at the given scale but will print at 150% the size. I have not tried any larger. At some point, the bridges will be too long.

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