Physical, passive objects of our surrounding environment are commonly described and perceptually identified by the shape they take. In the latest years, many advance have been made in Computer Graphics and Computer Vision to capture and reconstruct the 3D geometry of a wide range of complex objects featuring an intricate shape, such as folded cloth or human hair. However, connecting such 3D geometry, which intrisically encodes the effect of the surrounding environment, to the mechanical properties of the underlying object, has been under-explored. In this talk I will present some first attempt that we made to tackle this challenge, on the example of fiber assemblies subject to contact and friction.