Hot Topics: Shape and Structure Of Materials - Periodic tangling of filaments
Presenter
October 1, 2018
Keywords:
- Tangle
- Knot
- Filament
- Keratin
- Minimal surface
MSC:
- 82D60
- 52C20
Abstract
This talk will give a constructive approach to exploring tangled filaments in a periodic box, where hyperbolic line packings decorate triply-periodic minimal surfaces. A particular arrangement of tangled filaments will be explored in the context of keratin filaments in human skin cells, as well as the broader idea of geometric form as a consequence of the restoring force of a liquid. Finally, I will connect the idea of filament tangling with framework material design.