Abstract: Dynamical Symmetries redux 2.0
To summarise: what follows is a review of how the static proportion ratios used in architecture and the arts for centuries can now for the first time also be be applied to buildings, artifacts and the entire built environment in terms of optimised dynamics, to their forms and now also to their energy and material performance over time.
The reason is that the archetypal fractal, the golden ratio, acts in an energy and matter optimising (if not actually minimising), attractor in numerous models of complex dynamical and other physical systems.
Not only that, but in these models it frequently emerges over time as the path of least resistance to regions of maximum complexity. So we are also seeing one of the key ways that nature paradoxically (in the face of entropy), evolves greater complexity from very simple rules. We see the golden ratio through new eyes, revealed as an emergent pattern, signature or property of natural systems that evolve and self-organise over time, often far from equilibrium and to incrementally higher levels of complexity.
It can therefore become both an icon for beauty and static proportion on the one hand, but now also be understood as acting dynamically in systems and processes over time, as an icon for promoting environmentally sustainable design and development as well as ecological and cultural mimesis or self-similarity.
This approach naturally leads to a sustainable, complex, contemporary yet contextual, vernacular informed approach to design with a resulting strong genius loci or sense of place for architecture and design artifacts in their cultural/climate context and also in space and time. Dynamical Symmetries is therefore a meditation on creation as as fusion of the poetic and the pragmatic, the infinite and finite, the irrational and the rational – of Dionysis and Apollo.