Open space design
Introduction
A fractal can be understood as a repeating pattern; This means that the same shape is repeated when observing nature at different scales. The most commonly cited examples are snowflakes.
Benoit Mandelbrot coined the term Fractal Geometry in 1975 and he himself observed its relationship with architecture. The key mathematical property of a fractal object is that its fractal metric dimension is a non-integer number; fractals are objects of any type, in which their surface is irregular, but in which that irregularity is geometrically repeated at different scales. The structure will have the same basic elements, whether seen as a whole, or analyzing its parts; They are infinitely complex, but they develop through interactions, which allows them to be studied through sequences.
In Architecture
Contenido
En esta disciplina se han llevado a cabo varios análisis y comparaciones con la arquitectura Fractal, porque se considera que muchos arquitectos de la antigüedad, basaron sus diseños en los principios fractales. Importantes edificios de la antigüedad, arquitectura vernácula y el diseño urbano de ciudades alrededor de todo el mundo han presentado en su diseño patrones relacionados con estos. En losetas para piso son muy comunes los patrones de fractales.
Classification
In nature there are objects that have fractal characteristics. If you take a branch of a tree, you will see that its shape is similar to that of the tree and the same will be noticed by comparing the smaller branches, but there will come a point at which the tree cannot be decomposed any further, that is, it will not be a perfect fractal.
Using algorithms as design tools. It allows us to generate projects that explore algorithms and computing as a generative design tool and that combined with current design processes producing a new and unusual architectural form, which we can call Fractal Architecture, although cases of this type of architecture were already seen in buildings built centuries ago.
An example is: The Menger sponge, where as the iterations increase the surface increases until it tends to infinity, while at the same time it encloses a volume that tends to zero.