17:00
Natural tilings: from hard rock to soft cells - Gábor Domokos
In this lecture Gábor Domokos will use the geometric theory of tilings to describe natural patterns ranging from nanoscale to planetary scale, appearing in physics, biology, and geology. Rock fragments can be modelled by polyhedra having, on average, six flat faces and eight sharp vertices, reflecting Plato’s postulate of pairing the element Earth with the cube. If we depart from polyhedra and admit curved faces then we can tile space without any sharp corners with a new class of shapes, called soft cells, which appear in both living and non-living nature.
Gábor Domokos is a research professor at the Budapest University of Technology and Economics. He is best known for proving a conjecture of V.I. Arnold by constructing, with Péter Várkonyi, the Gömböc, the first homogeneous, convex shape with just one stable and one unstable static equilibrium. Since then he has developed geometrical models of natural shapes and their evolution, including Martian pebbles, turtles shells, planetary crack patterns, rock fragments, asteroids, ooids, supramolecular structures and, most recently, soft cells.
Please email @email to register.
This lecture will be premiered on our YouTube Channel on Thursday 22 May at 5pm (and any time after). No need to register for the online version.
The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
Our latest series of shorts on YouTube sees us asking our mathematicians if they use their mathematics in their everyday lives, either consciously, subconsciously or not at all.
You never quite know what to expect, but geometry as a stress buster, how to empty bottles quicker, not taking the same route round a tree each time you go for a walk?
You can watch the first films via the videos below. First up is Nivedita, Graduate Student in Mathematical Physics. Next to Nivedita is Josh, postdoc in Mathematical Biology.