patterns and maths

I have been fortunate in having my pattern research selected for inclusion in a really exciting exhibition opportunity in Bristol, led by academic Lucy Ward from University of the West of England.

“APERIODIC brings together artists, scientists, musicians and others in an exhibition about pattern. The show presents work that explores ideas relating to the mathematics and science of ‘aperiodic order’: the absence of regular or repetitive patterns. Or, more simply, ‘things that almost repeat, but not quite’. The exhibition is part of the APERIODIC festival of art, science, music and performance taking place this July in Bristol.” official exhibition text (APERIODIC, 3-14 July 2024 at Kit Form Gallery, Bristol)

The two pieces I had selected explore block rotation in the over printing of further colour layers, resulting in a building up of a more complex design:

Geo / grid / star Lino print

Fields of seemingly reliable compositions of geometric motifs provide the rhythm of assurance through repetition of geometric rhythms but the swapping of small details amongst the motifs unsettles the overall pattern and disrupts the repeating design. The block is rotated before printing of the second colour.

6-spot rotation, multi-direction Lino print

Built upon Lewis F. Days’ principles of distribution of motifs in pattern design (1901), motifs are placed within a tile, 6 x 6 to provide balance and direction when repeated. As the second colour is applied the block has been rotated by 90 degrees in each printing of the tile over the original blue. The repeat is broken and a disorder is established.

One of the highlights of having the work selected for exhibition was the opportunity to have a mathematician review my work aligned to their own interests in pattern. Yotam Smilansky is a Lecturer in Dynamical Systems and Analysis at the University of Manchester, with a special interest in aspects of order and disorder in geometric patterns so I was interested in what they had to say about the work on exhibition.

Yotam Smilansky on Kate Farley, ‘Geo / grid / star’ and ‘6-spot rotation, multi-direction’:

We notice a certain form, a sense balance, but it might take us a little while before we realise exactly what’s going on. Then we get it: the complicated object before us is made of a single ingredient, copied and superpositioned. It is surprising, even magical, how the unassuming process of layering rotated copies of a single pattern can result in a rich family of objects with a wide range of properties. This is evident, for example, in the moiré patterns of twisted bilayer graphene, where a slight change of angle results in completely different electrical properties, and is beautifully demonstrated in Farley’s mesmerising prints.

Yotam’s response interested me as I’ve been exploring ways to disrupt and challenge the repeating tiles through transformation and evolution of individual elements within an apparently repeating pattern. I’m certainly keen to continue with this work and am grateful for this opportunity to gain feedback as well as discover the work of other pattern-makers. You can read other reviews of exhibiting artists by mathematicians here.

Thank you Lucy, Yotam and all those supporting the event.

Leave a comment