Joint PhD project available with CSIRO Data61 Melbourne


From landslides to granular hoppers: can local structure metrics predict flow properties of granular materials?

The flow of granular materials are relevant to any industrial transport process of particulate matter – from minerals and sand to powders and pharmaceutical pills. Flow phenomena of loose or compacted granular materials are also important on the geophysical scale, in landslides, dunes or erosion processes. This proposed PhD thesis project uses state-of-the-art simulation methods for simulating granular flows Read more

“More is different”: Nanofabricated chiro-optical material based on 8-fold intergrowth of gyroid


In a totally different context to the original quote and article, Phil Anderson’s quote “More is different” holds also for the chiro-optical response of gyroid-based photonic materials. Eight intergrown Gyroids give a substantially different chiro-optical response than the single gyroid. The group theoretic prediction from Matthias Saba’s PhD work (Saba et al, PRB 2013) has now been experimentally validated by Nanofabrication experiments in the Center for Microphotonics at Swinburne University (Turella et al, Optics Letters, 2015). Read more

In a Material World


“In a Material World: Hyperbolic Geometry in Biological Materials”, by Myf Evans and myself, is a popular-science type essay on the sort of geometric questions that we see of relevance for soft matter physics, materials science, biology, etc. In particular, what’s the role of hyperbolic geometry and triply-periodic minimal surfaces, and what’s the geometric rationale why they form in soft matter self-assembly. Hopefully an entertaining read, with no claim to be comprehensive, and certainly not original research. Read more

Conference Geometry and Physics of Random Spatial Structures, Black Forest 7-11 Sept 2015


Held in the picturesque Black Forest region of Germany from 7-11 September 2015, this conference will cover the mathematics and physics of disordered spatial structures and systems. Keynote speakers at this event include: Anton Bovier, Paul Chaikin, Wiebke Drenckhan, Matthew Kahle, Randall Kamien, Domenico Marinucci, Frank den Hollander and Rien van der Weygaert. We’re still accepting poster abstracts for this conference, see

Shape Up 2015 : Exercises in Materials Geometry and Topology


We’re still accepting abstracts for what shapes up to be an exciting international conference  on real-world materials, dead and alive, with complex spatial microstructures. An interdisciplinary discussion meeting on patterns and geometry, and their role in biological and synthetic microstructured materials and tissue. We invite contributions from biology, chemistry, materials science, mathematics, physics and related fields addressing the genesis, properties and function of complex nano-scale geometries, as well as underlying geometric and topological concepts for the study of complex structure and shape. More information can be found on See you in Berlin! Read more

Flight through Schoen’s Gyroid Minimal Surface

The cubic Gyroid surface is a “bicontinuous” minimal surface that divides space into two intertwined network- or labyrinth-like subdomains. The two subdomains are enantiomorphic, that is identical apart from different handedness. This animation shows a rotation of a fairly large subsection of this periodic surface, and a flight through one of the two domains. The flight path first follows a three-fold screw axis, and then turns into a four-fold screw axis. In a second run of the same animation, the same surface is shown together with the skeletal graphs that are often used to represent the Gyroid.

A higher resolution file of this animation can be found here (15MB).  An even higher resolution version (90MB) is available here.

If you are using this animation, please reference the publication that describes it: Hyde & Schröder-Turk, Geometry of interfaces: topological complexity in biology and materials, Interface Focus 2(5), 529-538 (2012)

This animation was produced at the ANU during my PhD. Special thanks to Stuart Ramsden for a lot of help!