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.
![](http://studioinfinity.org/wp-content/uploads/2022/05/twhead-1024x341.png)
And here are five of them connected by pentagonal faces into a “V” configuration.
![](http://studioinfinity.org/wp-content/uploads/2022/05/20170729_190743-scaled-e1651958846163-1024x950.jpg)
If we’d had time to build three more, they would have closed into a loop, just like these dodecahedra:
![](http://studioinfinity.org/wp-content/uploads/2022/05/20170729_151510-scaled-e1651958912686-1024x772.jpg)
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.)
![](http://studioinfinity.org/wp-content/uploads/2022/05/20170729_151459-scaled-e1651958983309-1024x905.jpg)