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Rhombic dodecahedron, solid and frame — image 1
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Rhombic dodecahedron, solid and frame

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The rhombic dodecahedron, a shape that packs like cannonballs in a square pyramid in a face-centered cubic packing.

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Model information

Category
Math
License
Creative Commons — Public Domain

This is part of a work in progress in which I intend to use a face-centered cubic packing to embed block cellular automata rules. https://en.wikipedia.org/wiki/Close-packing_of_equal_spheres

There are other shapes like it in Printables but you can see how I implemented it with Tinkercad primitives: https://www.tinkercad.com/things/fAiRhgf6jdK-rhombic-dodecahedron

I constructed the frame shape by removing six rhombic prisms at different rotations matching the faces of the object. The frame prints reasonably well, but runs into some issues bridging the top edges.

You can try scaling this bigger or smaller. I printed a frame less than 11mm in height and it might work even smaller.

I'm making this public domain because it is a basic shape, not really a creative work.

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