Geometric and topological modelling of 3D crumpled structures
Abstract
Crumpling is a new method derived of the origami techniques that transforms a single paper sheet into a three-dimensional structure by a systematic generation of random folds. The resulting crumpled object is an innovative answer to packaging industries that need attractive and dynamic products in a sustainable context. In order to understand the performances of crumpled structures and their applications in the field of packaging, this paper firstly details the fundamental characteristics of crumpled surfaces by expressing categories of crumpled creases patterns and patterns networks. The crumpled surfaces connectivity is then studied in an Extended Attributed Adjacency Graph by adding new faces and edges attributes.