Symmetrical Basis for One Coloured Single-layered Structures – Towards Reflective and Transformative Practice

Abstract

The author identifies the non-polar symmetry Layer Class as an appropriate geometric model for single-layered interlaced structures. The transition from polar to non-polar environment is explored and the expanded range of transformations illustrated. The presence of asymmetric figures (primal sequence), the instructions for transformation (primal code) and the building blocks of weave (lattice cell) are identified. The 80 Layer groups are illustrated and examples of weave from each lattice type shown. It is argued that this symmetry model suggests the presence of a unifying language of innovation that is expressed in both human-generated artefact and living systems. The author begins to construct a model of the internal nature of interlaced structures that is seeded from its asymmetric state, expands and diversifies by a process of unravelling and duplication, translation and anti-translation, and not only accommodates the presence of dislocation but recognises it as a powerful generative element.