Polyhedral Loops

Here’s a closeup of some snub dodecahedra that students built as part of a group construction I led at The College of New Jersey in July of 2017. They are each approximately 80cm in diameter.

And here are five of them connected by pentagonal faces into a “V” configuration.

If we’d had time to build three more, they would have closed into a loop, just like these dodecahedra:

Here’s another loop, this time of icosahedra, that the students made along the way. (Platonic ideal alert: this loop is not mathematically exact, it’s just close enough that it can be constructed with these somewhat flexible units.)