Christoffer Åström and Alexander Åström
Based on archaeological artefacts with geometrical motifs, which can be interpreted as impressions of knots and links, the Åström brothers develop mathematical models. These models are the basis for further realisations of knots and links, using purpose made rope.
The multiplicity of rectangular diagonal shaped knotworks, like the ones shown in the figure, can be obtained by the greatest common divisor function. The arguments consist of the number of bights on two sides, perpendicular to one another. Given a multiplicity greater than one will enable the possibility to use differently coloured pieces of rope to realise a knotwork. In our example, all the knotworks consist of 7x7 bights on the sides. We have chosen 14 of the possible alternatives and arranged these in a modular stack with the purpose to visualise the colour metamorphose that arise when different components, one by one, shifts colour.