Geometry, Mechanics, and Biology Applications for Membranes and Filaments Zachary A. McDargh 10.1184/R1/7411391.v1 https://kilthub.cmu.edu/articles/thesis/Geometry_Mechanics_and_Biology_Applications_for_Membranes_and_Filaments/7411391 Nature displays a vast array of geometrically ordered systems, at nearly every length scale. This is especially true in soft matter and biological physics, where geometric<br>considerations help us understand problems from the assembly of helical proteins to the morphogenesis of <br>flower petals. In many cases, this geometric ordering is<br>mechanical in origin: energy must be expended for objects to stretch, bend, and deform. This thesis explores some of the conclusions that can be drawn from this simple observation.<br> 2017-07-25 00:00:00 geometry membranes mechanics