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.. home projekte theorie art archiv candy guests project with guest prof. koutamanis / delft and ralf schaper / kassel 
My first step on exploring the modeling aspects of mathematically defined form was to get an idea of what mathematica can do and how it is used. of course there is no final method and it can be used for a huge spectrum of tasks. the aspects that interested me most were the graphical output and the immediate exact modeling with formulas mathematica allows. i experimented in 3d surfaces: you can see some of the shapes with the corresponding formulas on this page. though these forms are used a lot already in mathematics, i found it fascinating to manipulate terms and get surprising and beautiful results. 
 1. x^6 - 3xy^2 2. x^3 - xy^2 3. x^2 + 6xy 4. x^5 / y^2 - xy^3 5. x^2 - x3y^3 6. x^3 / 2y^3 + .2y 
Having made this surprising modeling experience - a kind of remote control modelling - i had to think about a way of generating something i could use in architectural terms. as there is no interface of mathematica to cad programs and the most it does is export images, i decided to do some work on this problem. i am currently working on a mesh generator for autocad that will do the same mesh geometry based on a formula. the other approach i will consider later is the conversion of mathematica output into geometry in autocad with a program that reads mathematica data sets. 
as architecture is beginning to abandon the old physical models of generating and thinking about form, the mathematical model is a way of design that is not much explored. mathematically designed form has a pure and elegant feeling to the human eye that, though it may be too smooth for some, could be used as an aesthetic principle. i realized that these forms offer an intricate symmetry that can be used in a modular way of design. large roof series and repeated structures could be built that way. concerning the emotional potential (the human factor) of these forms, they can be compared to existing structures (e.g. frei otto) and have even more range as they are not designed after maximum performance values but beautiful surface properties. forms like that match very well with our time of remote access and remote understanding, even of form. the pair of human aesthetic taste and mathematical consequence is something that reflects our understanding of the world. creating architecture that way would put a challenge to the architect's will to mediate between human and abstract logic of numbers. 
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