The (10, 3) Network

Above is a sculptural concept based on the crystal structure (10,3)-a, described in the 1950's by the chemist A.F. Wells. I have taken his arrangement of vertices and edges and wrapped a smooth organic volume around it. It is impossible to convey its 3D structure with 2D images, so the .stl file for it is here if you want to view it in a 3D viewer or make your own physical copy with solid freeform fabrication equipment. The underlying structure of vertices and edges has recently been rediscovered by Toshikazu Sunada and called "K4" in this paper.

Wells points out that the structure can interpenetrate space with a copy of its mirror image.  The above rendering gives a sense of how fascinating this is. I have not yet had the opportunity to make physical models from these files, but when I do I will put more images here.