  We present a method for modelling textile structures, such as weft knits, on
families of bicontinuous surfaces. By developing a tangible interpretation of
mathematical theory, we combine perspectives of art, design, engineering, and
science to understand how the architecture of the knit relates to its physical
and mathematical properties. While modelling and design tools have become
ubiquitous in many industries, there is still a significant lack of predictive
advanced manufacturing techniques available for the design and manufacture of
textiles. We describe a mathematical structure as a system for dynamic
modelling of textiles in the form of a physical prototype which may be used to
inform and predict relevant textile parameters prior to fabrication. This
includes dimensional changes due to yarn relaxation, which would streamline
production of knit textiles for industry, makers and textile artists.
