Fractals – Self- similar Fractals and The collage Theorem.

Paper Outline: I. Abstract II. Introduction a. History i. Fractals ii. The collage theorem III. Fractals a. Geometrical Fractal b. Natural Fractal c. Algebraic Fractal d. Symmetry and patterns. e. Applications of Fractal. IV. The Collage Theorem a. Postulate b. Detailing V. Animations a. Pleoria b. Peacock c. Crystalloon d. Geometric Fractal VI. Fractals Software a. X-aos b. Mandelbulber c. Fractal Grower VII. Conclusion. VIII. References: additional Instruction: Add topic of Fractal Dimension Add topic of interacted function system Required good animation and application. The paper need to pass through the Turntin Software - please