Some deeper toughts regarding the fractal grid

Fractal Grid
From the topological model to the fractal field

Keywords
meta project, explorations of landscape, conceptual infrastructure, connection, matrix, topography, structure, re-programing space, filed distortion, fractalization, endemic, crystal structures

Abstract
Fractal Grid is meta project that explores the conceptual possibility of a Non-topological model based on a generative self-sustained approach.
The approach is grounded on mathematical principles, and developed with the aid of 3d design tools. It explores less usual semantics and arguments regarding fractal development and crystal structures in urban and non-urban landscapes. This way trying to bridge the traditional topological models and an abstract mathematical model in a dynamic relation of interactions .This way generating a “fractalization layer” with the possibility of re-programing space fruition trough the cage relations, layers and densities.
A notion of continuity in the landscape is redefined by the superimposed layer, in a way unifying the traditional entropic relation between urban and highly populated areas an non-urban and less populated areas.
In this way, the current stage of research is still contemplating a larger scope of situations, mainly grouped in urban and non-urban landscapes. Both interacting with the fractalization layer in distinct ways.

The urban layer
The fractal relations establish themselves in a mathematical form trough the city's empty spaces, forming a conceptual infrastructure that generates a ”non-empty” place above, between and even under the urban topography.
The conceptual infrastructure, establishes it self trough the dynamic relation between the cage and the topological urban scene. Defining in this way a new layer-system in the city. This fractalization layer, is assumed as a self justified model of mathematical genesis that bridges both landscape models, one of urban topological origin and another of pure mathematical abstraction. We still may consider a third layer as a by-product of the relation between this two layers, as the space between may also be defined as an hybrid layer, of dualistic characteristics.

The non-urban layer
In the non-urban landscape, the fractal relationship establish itself via the landscape morphology, in this way gaining a much closer, almost promiscuous relationship between the layers.
The fractalization layer is still assumed as a self-driven infrastructure by mean of it's generative nature, but now due to the closer relation with the terrain's morphology it gains it may gain at time a almost endemic nature to the place, merging with it or becoming an extension of it.

Tools
Rhinoceros 3d, Blender, Python, Qhull.

Process
Modeling main geometry body as a NURBS-Type polisurface . Defining key control points. Establish generative limits. grow Fractalize volume into a cloud of points. Turn cloud into a cage.
The process may seem complex but in fact is a very basic modeling process, it's just being applied in a unusual research context. It can be achieved with any major 3d software pack. The mathematical process can be obtained via code (python), via Qhull or even by blender. Qhull and blender have their own rules, in python you can code yourself the tools. For this exploration (at this stage at least) the last two suffice.