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I modified the code, you can now change the number of faces

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What I am missing is the option to customize the number of edges. I would need an allen key with 6 edges, not 8

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It does, if you are careful about dimensions. Of course a 0.5mm allen wrench will break even before you get to use it.
You might have to compensate for your printer's inaccuracies by setting the size a little bit smaller than you need.

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does it actually work?

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