Nested Polyhedra
Posted by
evansd2
 
Joined Sep 18, '17 

I’m Robin, it’s a pleasure to meet you.

IMG_2204

I’ve been circling this idea for a while, wanting to nest one polyhedron inside another, but I could never decide on a method to calculate the angles and sizes. Short version: I figured it out.

Notes:

  • 1/8 BB plywood.
  • It’s a bear to put together. Gotta take your time, the model gets very rigid as it gets more complete.
  • 5 different parts, a total of 240 pieces.
  • Overall size: 5" diameter
  • No glue.

The three quarters view is probably the best for seeing the inner and outer structures. Inside is a icosahedron, outside is a dodecahedron. (for some reason it won't upload again, so scroll back up.)

You get some fun symmetries when you start aligning the model in certain ways,

IMG_2205

It can look radically different depending in the viewing angle.

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Overall, the design is really sturdy, despite the fact that the struts are only 0.125" x 0.125" thick. I may scale the connectors up and see about making this at a very large scale. As it stands now the longest elements are the dodecahedron edges, at 1.44". I could jump that up to be 19" long, I wonder how large the model would be? Let’s go see. HAH! It’d be 71" in diameter, just under six feet. That’s crazy. Like “can’t fit into the house” crazy. I wonder if the 1/8" baltic would stand up at that size or if it would collapse under its own weight?

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Anyway, there you go, the latest creature.


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