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Gavin Harper is a mathematician working right at the heart of genetics

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March 2010
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mathematics and art

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In the late 1940s, American painter Jackson Pollock dripped paint from a can on to vast canvases rolled out across the floor of his barn. Richard P. Taylor explains that Pollock's patterns are really fractals - the fingerprint of Nature.

Tags: logarithm : mathematics and art : fractal : dimension : scaling : chaos : Levy flight


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Imagine stepping inside your favourite painting, walking around the light-filled music room of Vermeer's "The Music Lesson" or exploring the chapel in the "Trinity" painted by Masaccio in the 15th century. Using the mathematics of perspective, researchers are now able to produce three-dimensional reconstructions of the scenes depicted in these works.

Tags: mathematics and art : matrix : perspective : projective geometry


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Mathematics is helping the blind move forward and us all to step inside the past.

Tags: Projection : mathematics and art


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Whether you love maths or hate maths, your opinions on the subject were probably formed early. So primary teachers have a vital role to play in promoting mathematical skills. Plus meets primary teacher and maths coordinator Maureen Matthews.

Tags: philosophy of mathematics : mathematics and art : public understanding of mathematics : mathematics enrichment


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The work of Donald Coxeter, who died on 31 March 2003, will continue to inspire both mathematicians and artists.

Tags: curvature : mathematics and art : escher : hyperbolic geometry : mathematics in the media : symmetry : group theory : geodesic dome


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Carla Farsi is both an artist and a mathematician, who declared 2005 her Special Year for art and maths. Find out what she got up to, and what it's like being a part of both worlds.

Tags: mathematics and art : visualisation : teaching


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Two designers tell us how they took the long way round to design, and how the maths and science they took in on the way helps them with their work today.

Tags: mathematics and art : design


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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.

Tags: philosophy of mathematics : mathematics and art : public understanding of mathematics : architecture : sculpture


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Peter Markowich is a mathematician who likes to take pictures. At first his two interests seemed completely separate to him, but then he realised that behind every picture there is a mathematical story to tell. Plus went to see him to find out more, and ended up with a pictorial introduction to partial differential equations.

Tags: navier-stokes equations : mathematics and art : differential equation : reaction-diffusion equations : animal patterning : Alan Turing : partial differential equation : optimal transportation


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Images based on Lyapunov Exponent fractals are very striking. Andy Burbanks explains what Lyapunov Exponents are, what the much misunderstood phenomenon of chaos really is, and how you can iterate functions to produce marvellous images of chaos from simple mathematics.

Tags: mathematics and art : fractal : chaos : dynamical system : logistic map : iteration : error : Lyapunov Exponent : orbit : bifurcation


Tags: logarithm : mathematics and art : fractal : dimension : von Koch curve


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Victoria Gould has always known she would be an actor, and went straight from studying arts at school to running her own theatre company. But she eventually had to come clean about her guilty secret - she loves maths - and has since managed to combine a career as a research mathematician and teacher with a successful acting career on television and in theatre. She tells Plus why she needs to use both sides of her brain.

Tags: mathematics and art : convergence : hardy : ramanujan : infinite series : Riemann zeta function : mathematics and theatre : partitions : maths education


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In 1979 decorating work in a house in Vienna revealed a set of medieval frescoes depicting a cycle of songs by a 13th century poet, who was particularly fond of satirising the erotic relationships between knights and peasant maidens. The frescoes are of great historical significance, but they are badly damaged. In this article Carola Schönlieb explores how mathematicians use the heat equation to fill in the gaps.

Tags: mathematics and art : Image analysis : differential equation : digital photography


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Mathematicians and artists mingle in London

Tags: mathematics and music : mathematics and art : fractal : hyperbolic geometry


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Mathematics takes to the stage with A disappearing number, a work by Complicite, inspired by the mathematical collaboration of Hardy and Ramanujan. Rachel Thomas went to see the play, and explains some of the maths. You can also read her interview with Victoria Gould about how the show was created.

Tags: mathematics and art : convergence : divergence : infinite series : Riemann zeta function : mathematics and theatre


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Many people find no beauty and pleasure in maths - but, as Lewis Dartnell explains, our brains have evolved to take pleasure in rhythm, structure and pattern. Since these topics are fundamentally mathematical, it should be no surprise that mathematical methods can illuminate our aesthetic sense.

Tags: mathematics and art : fractal : minimal surface : tessellation : escher : golden ratio : geometric patterns : geometric abstraction : origami : regular polyhedron : anamorphis


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Computer-generated art is on the rise, and with it comes a further blurring of the boundaries between maths and art. Lewis Dartnell looks at some stunning examples.

Tags: computer simulation : mathematics and music : mathematical modelling : mathematics and art : computer gaming : computer animation : computer graphics


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Fractal Modelling of Pollock paintings called into question

Tags: mathematical modelling : mathematics and art : fractal : chaos : Levy flight


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Conversations across science and art

Tags: klein bottle : mathematics and art : architecture : sculpture


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An unconventional perspective on an art show

Tags: mathematics and art : string theory


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Mathematics illustrates the forefront of visualising science

Tags: Möbius strip : klein bottle : mathematics and art : hyperbolic geometry : visualisation : elliptic geometry