Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.
The Eiffel tower is now a longstanding example of hierarchical design due to its non-trivial internal structure spanning many length scales.
The most efficient load-bearing fractals are designed as big structures under gentle loads ... a situation common in aerospace applications.
A systematic way to vary the power-law scaling relations between loading parameters and volume of material aids the hierarchical design process.
The transition from solid to hollow beams changes the scaling of stability versus loading analogously to increasing the hierarchical order by one.
Techniques from random sphere packing predict the dimension of the Apollonian gasket, a fractal made up of non-overlapping hyperspheres.