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.

  • Optimal counter-current exchange networks

    RFR. FarrYM Physical Review E

    Optimal heat exchange networks

    Compact heat exchangers can be designed to run at low power if the exchange is concentrated in a crumpled surface fed by a fractal network.

  • Imperfections in a two-dimensional hierarchical structure

    DRYMRFR. Farr Physical Review E

    Structural imperfections

    Fractal structures need very little mass to support a load; but for current designs, this makes them vulnerable to manufacturing errors.

  • Random close packing fractions of lognormal distributions of hard spheres

    RFR. Farr Powder Technology

    Random close packing fractions

    Lognormal distributions (and mixtures of same) are a useful model for the size distribution in emulsions and sediments.

  • Towers of strength

    DRYMRFR. Farr Physics World

    Towers of strength

    The Eiffel tower is now a longstanding example of hierarchical design due to its non-trivial internal structure spanning many length scales.

  • Physical Review E

    Hierarchical structures

    The most efficient load-bearing fractals are designed as big structures under gentle loads ... a situation common in aerospace applications.

  • Mechanics Research Communications

    Hierarchical space frames

    A systematic way to vary the power-law scaling relations between loading parameters and volume of material aids the hierarchical design process.

  • Physical Review Letters

    Ultralight fractal structures

    The transition from solid to hollow beams changes the scaling of stability versus loading analogously to increasing the hierarchical order by one.

  • Physical Review E

    Ever-shrinking spheres

    Techniques from random sphere packing predict the dimension of the Apollonian gasket, a fractal made up of non-overlapping hyperspheres.