# Hierarchical space frames for high mechanical efficiency: Fabrication and mechanical testing

Fractal structures.

*Mechanics Research Communications* 46, 41 (2012)

D. Rayneau-Kirkhope, Y. Mao, R. Farr, J. Segal

It has been demonstrated theoretically that under certain loading conditions hierarchical structures hold a distinct advantage in efficiency over more conventional designs. Here a particular hierarchical design is studied, and we show that the power-law scaling relations between loading parameters and volume of material required to make a stable structure can be varied systematically. Through computer simulation, we construct mechanism diagrams depicting likely failure modes for a given geometry, which give insight into the optimisation. Using rapid prototyping technologies, the same structure is fabricated and mechanical testing undertaken; the results are compared to theoretical and finite element models.

#### Network valuation in financial systems

P. Barucca, M. Bardoscia, F. Caccioli, M. D’Errico, G. Visentin, G. Caldarelli, S. Battiston

*Mathematical Finance*

#### The space of functions computed by deep layered machines

A. Mozeika, B. Li, D. Saad

Sub. to *Physical Review Letters*

#### Replica analysis of overfitting in generalized linear models

T. Coolen, M. Sheikh, A. Mozeika, F. Aguirre-Lopez, F. Antenucci

Sub. to *Journal of Physics A*

#### Degree-correlations in a bursting dynamic network model

F. Vanni, P. Barucca

*Journal of Economic Interaction and Coordination*

#### Phase transition creates the geometry of the continuum from discrete space

R. Farr, T. Fink

*Physical Review E*

124 / 124 papers