Origami Maths – Face Graph of a Hypercube

Here’s a quick little project I never got around to writing up. A while ago I was doing a dive into group/category theory and playing around with graphs of various polytopes. I wanted to make a model of the faces of a hypercube.

I tried a couple of different models, using pipecleaners & straws, then another version with lasercut wood struts and cable ties. Eventually I settled on this method, just using string and lasercut cardboard:

Face graph of a hypercube, done in origami and string style

Of particular interest, is that all the vertices look the same, in terms of having the same connectivity. (Not too surprising, but hey).

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