1. Introduction to Fractal 1.1 Definition of Fractal 1 1 1.2 Properties of Fractal 1 1

2. Sierpinski's triangle 1 construction Sierpinski's triangle 2 2 2 Sierpinski's triangle area 3 3 3 Increasing number of triangles 3 3

Fractal application 1 Tile surface 10 1.1 Phon Koch curve 10 1.2 Space fill fractal 12 2 Realistic image reproduction 13 3 Fractal compression 16

6. Conclusion 17 Appendix A. Cocho Edge 18 B. Kochstar 18 C. Binary Tree 19 D. Random Binary Tree 20

Impact: 1. Beyond the duality of fractals and social substances 2. We will participate in a complex fractal of practical and consumer practices, ie social importance, so we will focus on different fractals, ie social material time and space I notice that there is not. Diversity and locality of fractal society materials - mutuality of worldwide communication practices. 4. Multiple Spatiotemporal Fractals - Entanglement of Social Materials Work and Consumption Practices. We are changing the skills and identity of the university to adapt to the new fractal - social material career path

Fractal Definition: Repeating an (iterative) geometric pattern on a smaller (or larger) scale to generate irregular shapes and surfaces (self-similar) that can not be expressed by classical (Euclidean) geometry . Fractals are especially used for computer modeling of irregular patterns and structures found in nature. (1) Compared with this art form, fractal is a unique form of digital art that uses mathematical expressions to create art in infinite variety of formats, details, colors, and light. Simply put, fractals are a graphical representation of mathematical expressions. The formula for a particular image determines how each pixel in the image is formed and color. (Pixels are small squares, which are the smallest display elements that make up the image displayed on a computer monitor or television.) A normal fractal image contains millions of pixels.