Research - 2007
Recursion, in mathematics and computer science, is a method of defining functions in which the function being defined is applied within its own definition. The term is also used more generally to describe a process of repeating objects in a self-similar way. For instance, when the surfaces of two mirrors are almost parallel with each other the nested images that occur are a form of infinite recursion. (See the Wikipedia entry on recursion) Function RecursiveProtocl(inputs) Growth refers to an increase in some quantity over time. Exponential growth occurs when the growth rate of a mathematical function is proportional to the function's current value. In the case of a discrete domain of definition with equal intervals it is also called geometric growth.
Recursive Growth is an investigating into recursive subdivision of surfaces as a mean of growth; associated with to the notion of pressure - an effect which occurs when a force is applied on a surface – and it becomes a potential for structural forms finding. In that example the pressure is applied as a vector on the centroid of each face triggering a cracking process into four triangulates faces, one always remaining normal to the force and therefore parallel to the original face; if the direction of the force is based on gravity and the original face is horizontal it gets “cracked” into three identical faces while the force one is introducing a new type at each generation - if ever starting from an equilateral triangles there is one specific force which is able to generate four identical triangles and therefore maximize the repetition of the parts to one type only.
That series of experimentation is dancing on a fine line between problem solving and design research: while starting from an efficiency quest (in that case looking to maximize repetition) the designer allows himself the option to re-read every steps and afford asymmetries, breakages, failures (for example not further subdividing certain faces, consequently re-introducing differentiation and therefore uniqueness) if ever qualities are emerging - establishing a paradigm of problem caring … |
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