This is the rhombic dodecahedron, one of the Catalan solids.

Now here’s the same polyhedron, but with the three-valent vertices truncated, exposing eight triangular faces.

Here’s what it looks like with only the six four-valent vertices truncated.

Finally, here’s the fully truncated rhombic dodecahedron.

I created these polyhedra using *Stella 4d*, a program you can try for free right here.

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must be interesting to figure out how the end result will look

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