2015/01/15 by Borcea, Ciprian S., Streinu, Ileana
#52C25 #74N10 #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #I.3.5 #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.1501.03551
For materials science, diamond crystals are almost unrivaled for hardness and a range of other properties. Yet, when simply abstracting the carbon bonding structure as a geometric bar-and-joint periodic framework, it is far from rigid. We study the geometric deformations of this type of framework in arbitrary dimension d, with particular regard to the volume variation of a unit cell.