Here are some models built with the Zome system.
This is a three-dimensional projection of a "hyperdodecahedron." A hyperdodecahedron is a four-dimensional
platonic solid with 120 faces, each of which is a three-dimensional regular dodecahedron.

The above is a computer-generated picture made using the vZome software, available for free
from the programmer, Scott Vorthmann, here. Several graduate students and I recently built
a real-world ("rZome") version of this model. Here are some pictures of our progress.
The innermost layer is regular dodecahedron, made with blue edges:

Next we add 12 "squashed" dodecahedra, one on each face of the central
dodecahedron:

Here is the model with the 12 squashed dodecahedra added.

After that, another layer of squashed dodecahedra of various shapes is
added. The final result is this:

Here is the gang who worked on the project:
If you have enough Zome of your own, here are some pictures of partial
versions, that can help you make your own.

Below is the next-to-last stage. The final product is shown at the top of this page.