Ornamatics DigiTile

DigiTile

AR0795 Ornamatics 2013-2014 Q3

Maikel Scholten 4012402

Tutors: Peter Koorstra, Martijn Stellingwerff

ORNAMATICS 3D-tile for the “Ornamentorium”

INSPIRATION

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COMPOSITION

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OBJECT

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Inspiration The story starts with nature, more specific, with the magnification of a leaf. Leafs and plants grow in the most efficient way for them. But even though this process is random there is a sequence. Many plants show the Fibonacci number in their arrangement of leafs or branches. Fibonacci is a sequence where: n1+n2=n3, n2+n3=n4, nx+n(x+1)=n(x+2). These numbers have another thing in common, their ratio. If you divide nx by n(x-1) you will get the golden section (GS). For example dividing 144 the 13th number and 89 the 12th number gives: 144/89 ≈ 1.618.

The next inspiration is the stacking of wooden poles. This could be compared with the pixels of a television or computer screen. The pixel is the basis for the wider image and cannot be seen individually.

The last inspiration is the way the sunlight shines through the trees in a forest.

Especially the breaking of the light when it hits the trees and shatters. This kind of light creates a mysterious atmosphere.

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1.1 Magnification of a Leaf Here you can see the branching of the vains.

Some say that this branching is based on pure mathematics (see 1.6).

1.2 Sphere Patern By using different scale and shapes of spheres an illusion of depth is created.

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1.3 Wood Grain Patern A structured pile of wood combined with the ‘unstructured’ partern of the wood ends. Each end with its own unique print.

1.4 Forest Light When sunlight shines through the trees the light refracts, and creates an ambience you only feel in forests.

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89 55 1.5 Fibonacci Sequence A sequence where the next element is the sum of the two previous elements. The sequence starts with 0 and 1. The fibonacci sequence closely relates to the golden section (see 1.6).

ÎŚ(phi)=1.618 a+b=c b+c=d c+d=e etc. b/a= 1.618.. c/b= 1.618.. d/c= 1.618.. e/d= 1.618..

1.6 Golden Section

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Originally the dividing of a line piece in two parts (a - b) with a special ratio. The referred ratio is a/b and is called the golden ratio or section (phi) or f.

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1.7 Concept Sketches

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Composition From the Fibonacci sequence I created squares with the same dimensions. When these squares are put together a rectangle is created. This rectangle is called the golden rectangle (GR). The GR forms the basis for the pattern of the 3D tile. In this chapter I will explain the creation of the final 2D pattern which will be used in the next chapter.

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2.1 Fibonacci Golden Rectangle When you combine the fibonacci squares from 1.5 you get the Golden Rectangle. The rectangle has an open space in the center. Where the sequence stops.

2.2 Natures Golden Rectangle The golden rectangle is everywhere in nature. It symbolizes the purest, most abstract form.

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Step 1 Place a golden rectangle into all of the 5 squares.

Step 2 Place extra rectangles into the desired squares to create a more dense area.

Step 3 Now there still are rectangles in the element. You can get rid of them by placing a golden rectangle inside these rectangles.

Now you have a golden rectangle with only squares.

2.3 Fibonacci Golden Rectangle

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A composition of the Golden Rectangle. Combining several Golden Rectangles creates a new patern, an element.

2.4 Patern Density If we follow the rules of the previous image 2.3 we can create dense and open areas. With these different areas it is possible to show different paterns.

2.5 Partern Variation A patern variation on the normal (top right). The variations are mirroring and rotating.

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2.6 Final 2D Patern By combining the elements a ‘composition’ is created. In the middle of every element there is an open.

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Object This chapter is the transition from 2D to 3D. The basis for the 3D object is yet again derived from the Fibonacci sequence. I created five Fibonacci cubes, which still hold the golden ratio. The cubes have a structure and a faรงade. The two come together at 3.4 and form the final 3D object. At the end of the chapter there will be some information on the construction of the structure and the facade.

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3.1 Basic 3D Tile The basic 3D tile is build form the basic 2D patern from image 2.1. Qubes which are related with the golden section.

3.2 3D Structure

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The 3D frame forms a cube where the final tile 3.3 is attached to. The frame is constructed in a way that every scale fits onto eachother.

3.3 3D ‘Facade’ The 3D facade is formed by extruding the patern created at 2.3. This forms the facade for the 3D tile

3.4 3D Object

The 3D object is a composition of 5 cubes all connected with each other at their frame.

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3.5 Frame The framework that forms the cube is designed in a way that every scale fits on every other scales. The different scales are related through the golden ratio

3.6 Frame Material Gloss black painted aluminum.

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3.7 Boxes The extruded boxes that compose the 3D facade are made out of multiplex sheets glued together.

3.8 Box Material

To save material and weight the middle of the multiplex sheets are cut out. In this way the illusion of a solid box stays but the weight is lowered.

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3.9 Putting it Together All the multiplex boxes are connected to eachother and form the 3D facade, which is attached to the aluminum frame.

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Final Object Composition By combining the 3D object from 3.4 an interactional object is created. The object from 3.4 is rotated and mirror to created a ‘random’ effect.

Object interaction The final object composition can be used as an exhibition stand or art object. It fits in an ubran and natural environment.

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