‘Whichever directions you have come from you still have a choice. Moreover, points that start close together get stretched apart as they circulate round the attractor, so they ‘lose contact’, and can follow independent trajectories. This makes the sequence of left and right unpredictable in the long term. This combination of factors stretching points apart and‘re‐injecting’ them back into small regions is typical of all strange attractors. (E.N. Lorenz, Exploring Chaos, Seattle University of Washington press, 1993)
The studio would like to introduce a dynamic vision of the world and so of the urban expansion of our contemporary cities. In particular we are going to study the coastline between New York and New Jersey in relation of the expansion of the city and the water level raise.
This dynamic vision will led us to a non‐linear geometrical interpretation of the physical nature and objects: the fractals.
In fact chaos and fractals are part of the grander subject known as dynamics. This is the subject that deals with change, with systems that evolve in time. Whether the system in question settles down to equilibrium, keeps repeating in cycles, or does something more complicated, it is dynamics that we use to analyze the behavior. You have probably been exposed to dynamical ideas in various places‐in courses in differential equations, classical mechanics, chemical kinetics, population biology, and so on.
Considering the expansion and planning of a city a dynamic process we are going to use a non linear geometry to explore the different possibility of building a safe environment for the a new neigh borough that will be placed in the Upper New York bay area.
Images showing the Lorenz's Attractor and a Fractal Coastline Dimension
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