There’s a chance you might be totally off your rocker - but you make cool things!!
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Nice work, I like your doubles.
Previously, you might be interested in:
and
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These are awesome. Very cool. Jealous of you guys who can figure these out with only using the laser cutter. All mine use 3D printed internals.
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This is awesome! Also, don’t let @evansd2 fool you; he’s the one who got me started on polyhedra!
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Very neat! Reminds me a little of these little circles with triangular folds inscribed on them that we used to glue together into shapes.
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You could make your connectors longer, and then add a triple of 60 deltoids, and why stop there? Chances are you could keep making shapes that fit the voids and your model to get larger and larger.
If my GF weren’t in Seattle at the moment I’d probably have already tried it.
You might like my edge woven poly:
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That is awesome
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Very cool!
For completeness, here’s an edge piece for the rhombic thingahedron so it’s the same size (~88mm in diameter) as the other one:
It’s not symmetric because the pentagon side doesn’t go as far as the triangle, so the sides are marked.
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I’ve had this in the back of my mind for the last year, finally got some free time to build it!
The added bit, sits on the flat sides of the triangle and pentagon connectors: 
And finally: My first run of those edge pieces were too snug for the plywood we’re using now so I had to run it again with the slot a little wider. I can’t throw anything away without seeing if it has a use, so I discovered you can make a ring out of them:
Just had to share. 
It’s been way too long since I’ve had a chance to play with the laser toy.
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I bet that one was tough to assemble, that’s a very tight design!
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Also you may like this:
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These are all amazing and make my head hurt just thinking of putting them together 
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What Ryan said…
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I remember seeing that last year, skimmed over it to get the concept and I’ve been meaning to go back and fill in the details. Thanks for the reminder! I don’t think it would help me much here because I’m cutting the pieces out of scrap plywood, uploading just the individual shapes then duplicating and arranging them in the preview. (And wow, the preview is way more accurate than the last time I used it. Thank you Glowforge!) But if I wind up making full sheet layouts I’ll definitely use this so I can tweak the fit without having to rebuild the entire thing!
I forgot to mention that the previous shape is called a “disdyakis triacontahedron”
I turned it into a sort of stellation by straightening the edges and poking out the kite-shaped bit so the pentagon side has a flat face:
That almost makes it a Compond of Five Octahedra but the edges of the octahedra aren’t quite straight.
Here are the pieces: 
Going from to to bottom you need 30, 30, 12, 20, and 60 of each type.
Next up: Rhombic hexecontahedron - Wikipedia!
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You know I love me some polyhedrals. Awesome shapes, they are all interesting and fun. Getting that last piece to fit must be challenging!
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parts: 
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The trick is to set everything up as loose as possible first. Even then it is tricky to get that last piece in, so I first build two halves then get them connected and everything lined up. Then slowly snug it up evenly while turning it around. That step is much easier on the spherical projections. 
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