Compass & Rule: Architecture as Mathematical Practice in England, 1500-1750, is a lovely online version of the physical exhibition help at the Museum of the History of Science, Oxford, in 2009. Compass and Rule focuses on design and drawing, exploring the role of geometry in the dramatic transformation of English architecture between the 16th and 18th centuries.

The Velodrome, with its striking curved shape, was the first venue to be completed in the London Olympic Park. Plus talks to structural engineers Andrew Weir and Pete Winslow from Expedition Engineering, who were part of the design team for the Velodrome, about how mathematics helped create its iconic shape.

When your eyes see a picture they send an image to your brain, which your brain then has to make sense of. But sometimes your brain gets it wrong. The result is an optical illusion. Similarly in logic, statements or figures can lead to contradictory conclusions, which we call paradoxes. This article looks at examples of geometric optical illusions and paradoxes and gives explanations of what's really going on.

The mathematics of foam coats Olympic swimming venue

Exhibition design is not a career that the mathematically inclined tend to think about, let alone pursue. Barry Phipps is the first interdisciplinary fellow with the Kettle's Yard gallery in Cambridge. His remit is to develop projects of an interdisciplinary nature — "to find the common ground between things." Whilst most people think that art and science are two completely separate non-overlapping areas of human endeavour, Phipps does not see it this way.

Conversations across science and art