Mixpinski’s Myriad

In mathematics a fractal is an abstract object used to describe and simulate naturally occurring objects. Artificially created fractals commonly exhibit similar patterns at increasingly small scales. It is also known as expanding symmetry or evolving symmetry.  Mandelbulb 3D allows us to explore fractals in 3D, creating a seamless amalgamation of maths, art and science.

Understanding how this geometry can become infinite and how it can be built within the constraints of the physical reality was part of the philosophy of my piece.

Mandelbulb 3d fractals:

 

161117 FRACTAL sheet 1

From these specific chosen 3d Fractals I noticed a clear correlation with the natural formation of crystalline structures, in particular Hopper crystals.

Hopper crystals form when there is more rapid growth at the outer edges of a face than at the centre. This results in what appears to be a hollowed out step lattice formation, as if someone had removed interior sections of the individual crystals. This missing part was never actually developed as the crystals grow so rapidly that there is never time for this to be developed. Hopper crystals are very similar to the cubic halite skeletal crystals formed from extreme supersaturation in salt lakes existing in nature. Hopper crystals can be found in rose quartz, gold, calcite, bismuth, salt and ice. I looked at the growth of these crystals to better understand the structural qualities.

Hopper Crystal Formation:

161117 FRACTAL sheet 3.1

From looking at the crystalline structure it became apparent that the connection between the tapered levels was very important to the structure and adaptability of the proposal. The versatility of this connection allows for flexibility and movement within the module. The connector can be placed on any material simply by adapting the end nodes width to factor for the material depth. By creating this modular junction I can join all the stepped timber elements of the proposal in such a way that they are all supporting each other.

Connection options:

161117 FRACTAL sheet 2

Hopper crystal growth is never as predicted due to outside influences such as movement and temperature change. These influences creates the beautiful images we see of their crystalline forms and without these the fractal crystal growth would be predictable and simplistic. It is with these outside interactions that the crystals have their own idiosyncrasies. By combining the hopper crystal growth with the organic forms created with the 3d fractal generator, I created a pavilion proposal. Using a stepped form and the junction designed above I could use the unpredictable growth lines to create an interesting pavilion which can be experienced in the same way that crystals would grow, naturally and not within their algorithmic form. Nature does not always conform to predictability. The pavilion expresses this individuality and in turn expresses the way in which we grow as individuals, adapting to our environments and moulded by our experiences.

This project is a physical exploration of crystal formation centred around the theme of fractals. It aims to combine one joint in order to create a crystalline structure. Inspired by the geometry from the crystalline growth the lattice structure provides sanctuary and calm in a sea of dust and at night mesmerising myriads of stepped lights will illuminate the playa.271117 render night.jpgThe proposed installation will be formed of a mixture of 2 x 4 timber with CNC curved plywood pieces incorporated into the structure. Each 2 x 4 will have a joint or a pocket in order for it to slot into and support the weight of the neighbouring beam or column. The project will appear out of the sand as an elegant stepped fractal structure which gives the proposal an ecclesiastical ambiance.

231117 close up night

The intertwined stepped lattice timber elements form congregation and celebratory spaces, whilst capturing special views of the playa. The stepped elements promote Burners to climb and crawl between the spaces created by the overlapped timbers. At night when you ascend through the individual spaces the lights will constantly change and oscillate. With the lights constantly changing and staggering further through the elements the stepped structure will be enhanced.  The project aims to play with the burners’ perception of depth where the lattice stepped geometry is staggered and rotated. At night this perception is further confused by  the LED coloured strips oscillating along the staggered stepped beams and columns. The burners can seek sanctuary in a space in which dimensionality and form is confused and adapted.

271117 renderday

 

 

 

 

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