Chuang seems to have constructed many more beaded structures. I found this P-type minimal surface on his table. He is now in the military service for one year. So we probably won't have new beaded structures in this coming year .
The structure shown in the right of following figure has demonstrate that one can, in general, make 3-D structrures that contain the sp3 bonding. Of course, it is harder to weave this type of structures.