Tom Hull, Robert Lang and Daniel Kwan are leading figures in the design of Intersecting Wire-Frame Models. In 1999, Tom Hull discovered 'Five Intersecting Tetrahedra', a model which looks elegant and dramatic! Soon after, Robert Lang provided an exhaustive enumeration of all such models with equi-length edges! His articles also provide detailed instructions for assembly. Relaxation of the condition that edges be equi-length allows for many more designs — Daniel Kwan has created many such models that are visually as elegant as Tom Hull's original design. And there are many more to be discovered!

Instructions by Tom Hull. Folding individual units is straightforward. However, assembly of 30 such units is quite tricky. Thanks to Mark (extremeorigami) for the instructional YouTube video.

For fun, you may also watch a cool animation showing the assembly. Finally, there are VRML models by Carlos Furuti that help you to visualize the model in 3D.

A series of articles by Robert Lang narrates his technique for exhaustively enumerating all wire-frame models assembled from identical polyhedral frames (with minor restrictions on vertices and edges). Instructions for assembly are embedded here: Polypolyhedra Part 1, Part 2 and Part 3. For a quick review, see Slides from a Talk. One of Robert Lang's model is 'Six Intersecting Squares': Instructions by Jorge C Lucero are available separately. To visualize Robert Lang's polypolyhedra, VRML models by Carlos Furuti are available. Pictures of K2 and Makalu (two of Robert Lang's models) assembled by wolbashi (Flickr):

(K2)

(Makalu)