Compound of Five Tetrahedra
This shows 5 interlocking tetrahedra arranged with their vertices forming a dodecahedron. Read more on the Wikipedia article. For even more, read John Baez's notes in his article on the 600 cell (part 2).
Several experts have called this model "challenging", and I agree. But it's not too difficult. I suggest looking through the following before you start.
- Thomas Hull's instructions
- Michal Kosmulski's further details
- Dirk Eisner's alternate instructions (a comment on a Flickr page)
When you're ready to join the triangles, pay very close attention to the over/under pattern in the instructions you choose to follow. I found that what I wanted most was the ability to rotate the examples slightly, and that's why I added the interactive spinner for my model. I hope it helps!