Ridge Network of Crumpled Paper

The work presented has investigated the network formed by the complete sets of ridges from samples of crumpled paper. Sheets of paper were crumpled, and their height profiles measured by a laser profilometer. From these data lines of high curvature were identified as ridges. Intersections between ridges were considered as nodes, and the ridges as links between these nodes. The emerging networks have been investigated using network theory. Properties such as the degree distribution, degree correlation and clustering coefficient are reported. These are compared to comparable random networks and networks formed by the Voronoi diagrams. Spatial properties such as the ridge length, domain area and vertex distributions have also been investigated.