Batik is a traditional art that captures what is perceived by the community of Java in Indonesia to two-dimensional medium of fabric. Batik can be a form of equivalence of the paintings in the public culture in the other hemisphere. But what is reflected in batik tended not "straightforward" what is portrayed by the most commonly known paintings in historical milestones of human civilization. This is because the fractal nature is reflected in batik, while most known paintings are the forms of repose geometry.

The portrayal by using the perspective transformation fractality is stereographic dynamics of the real world into the basic forms of batik which a greater emphasis on the fact that systems in nature tend to be dynamic. The development of contemporary mathematics a fractal is a shape that the current study has become a full-non linear methodological in capturin

g system including our efforts to map what is seen on what is described in batik cloth.

The shape is too similar to living creatures may have a tendency to become idols, and 2-dimensional aesthetic craft in Indonesia acculturation shows a motive works that are so neat batik in the transformation of the image into the arrest of the dynamics of pattern objects.

Fractal geometry of nature Basic Batik Motifs

There are a lot of the basic motifs in the traditional batik. Basic motive is at the authors 'narrative' of what you want to be represented by batik cloth. Basic motif can act as a major constituent of the design of the batik motif to just be Isen or harmonization and ornament. Efforts deconstruction of the basic motifs of batik of Java, for example, shown in Situngkir (2008). This is done by showing a pattern that can be deconstructed as a transformation element in the iteration function system.

For example, traditional batik "plane" that can be seen as the result of the seven transformation of the whole pattern as seen in picture. In fact, as shown in the picture, many Javanese batik using this basic pattern.

There are hundreds of batik design with ornamentation of this plane, which is described as a bird's wing. Batik patterns such as cement, gurdha and more popular use of this basic pattern. So, quite interesting to find general aspects related to the transformation equation used to bring it.

Another example can be taken from batik from Cirebon, West Java - Indonesia. A very popular design named "Mega Overcast" which is often the basis of ornamentation known as a form of "clouds in the sky". This picture is shown in Figure 2.

Designers (people who traditionally known as an intellectual) to make some kind of "fractal transformation equations" given in the form of representation rules, the fractal approach we see science as a form of "atraktor" which mathematically.

"The transformation equation" is an interesting design to manufacture a particular pattern desired by the designer. Thus, in our example above, aircraft and cloud overcast, as well as batik pattern design can be viewed as a product of the iteration function system, is atraktor (cognitively) as traditional artists will display "wings" and "cloud". This can potentially enrich our understanding of cognitive anthropology, which is implemented into the body and other traditional aesthetics.

For example, as the traditional heritage of Java, batik design is inseparable with the life of the king's palace (palace). However, once the palace of Java has become the intellectual center as well as government. The influence of the palace in a show of batik intellectual milestones of ancient history. For example, when people in Cirebon, West Java, know of two palaces (for political purposes), namely: kasepuhan and Kanoman (respectively the oldest and younger), both have the characteristics of different batik designs. "Attractor cognitive" in a chariot representations, in the Palace Kasepuhan described as a model while lion barong Kanoman Palace described as Peksi Naga Liman. This characteristic also occurs in other court in Indonesia such as Yogyakarta and Surakarta.

SFI fractal dynamics to capture the image of
By relying on the geometry, the visualization techniques, such as a motive, using a variety of ways to mimic as closely as possible the various forms of objects to be poured in the media and two-dimensional images. Various techniques do here, ranging from large design forms that need to be very keen attention to the perspective (the perspective) to the various techniques used in the process of drawing (eg, shading in the sketch, and so on).

It is not enough if we are grounded in a fractal pattern as the basis for representation. What do not mimic as closely as possible what you want portrayed but capture the movement and dynamics of the objects that want visualized. In addition to these technical-technical, relying on the representations of fractal consider other aspects, and one of the most important is that atraktor of objects to be described.

Pattern representation with System Function Iterations were acquired as a construction to the basic motif of batik have similarities to the pattern we can get when describing the classical Japanese painting famous artist Katsushika Hokusai of paintings titled "Tsunami Under Kanagawa". Foaming waves can be reconstructed is described by using the pattern function systems including iterations of our generation through the computer. In the picture shown is how the red triangles that indicate the general shape of the sea water patterns, and the depiction of the blue triangles to "catch" a surge of water from the bottom up. Here, the water as a system moves from bottom to top (diagonally to the right).

This spectacular work shows a pattern similar to what is in the traditional batik when we want to pattern reconstruction with the same computer algorithm. In other words, I think we can apply the same when we want to describe the re-awanan cloud patterns, vegetation, sayapan fluttering wings, and so forth as a basic motif of batik that our generative computational experimentation going through the software.

Batik Physics: "Logic" in batik Batik Generation Computing
In the software that we introduce here, we are trying to fractal transformation equations are the basic motifs of batik produces no contact with the user. In other words, the task of software users is to expand the imaginative horizons as wide as possible so that the various motifs can be generated in the fractal paradigm as closely as possible to the system of rules that may be present in the cognitive process of batik designers in the days past when batik used to draw with how to capture the dynamics of visual forms.

Software provided on the occasion Generation Computing Batik is an attempt to describe the basic patterns are formed from three points that form a triangle and its transformation which acts as atraktor. The steps can roughly abbreviated as:

1. Users determine the 3 basic points that become the primary form of representation to be described in outline (note the order of the points that make up the red triangle on the software).

2. It is then the iterative (repeated) determines the 3 points that make up the transformation of the triangle that represents the main form (on our software: the blue triangles as the transformation of the red triangles).

3. Triangles which is the atraktor (towing) points randomly generated by a computing process. Within each triangle (either red or blue) have the same form (or a similar = similar) with the overall shape of the red and blue segituga merged into one. This is the nature of the so-called fractal-like nature with ourselves (self similarity).

Our software does not display the mathematical equations of the transformation of the forms of the triangles. He just kept it in a directory where the software is run. In other words, users need only to the imagination of the patterns to be described (or arrested dynamics) in the process of system functions Iterations were to serve as the basic motif batik. From the triangles are then obtained infinite basic motive to be described as a raw material in depicting batik inspiration in a variety of media and forms, ranging from traditional chanting pemotifan to process the most modern textile.