WE ALREADY have solid, liquid, gas, plasma and Bose-Einstein condensate. Now it seems we may be on the verge of discovering a whole host of new forms of matter - all based on mathematics. Nils Baas, a mathematician at the Norwegian University of Science and Technology in Trondheim, has unearthed a plethora of possibilities for the way the components of matter can link together. He made the discoveries while researching the field of topology - the study of the properties that objects share because of their shape.
article in NS
Brunnian hyperstructures might be usefull in the context of tensile structures?