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The square pencils fit in the existing orthogonal channels through the gyroid, while the hexagonal ones have holes cut for them and pass through the vertices of the 2 laves graphs which are the skeletons of the surface (as shown here https://vimeo.com/2553639)

Fully assembled! It took a bit of force to get the hexagonal ones in. If I was printing it again I think I'd scale it up by a few %

Here with just the 4 tetrahedral axes, and here's the stl:
https://skfb.ly/pnTYC
This is the one I printed, sized for the pencils as in Matt's video, though as I say, a little bit more clearance would have been better. I might also do one for circular pencils so people don't need the custom ones.

@nilesjohnson Yes it is. I'll upload the file for if anyone else wants to try

@Danpiker awesome! Please let me know so I can try it out :)

@nilesjohnson shared the STL here: https://mathstodon.xyz/@Danpiker/112859215840044255

@bonkers @Danpiker @nilesjohnson I want one too! I could ask the folks at work to print me one in some exotic metal alloy, but I know what they'd say