Modern information technologies. 3 Software



Yurkovska Victoria Viltaliivna

National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"


Using fractals as elements of

websites and eBooks


We know that fractal - the image obtained on the basis of "Julie set" class forms, which are calculated by complex numerical coordinates. Each point is attributed to a certain color depending on how it behaves while performing a number of simple but repetitive mathematical operations, which reflecting the final geometric pattern. In the words of famous German computer graphics Frank Herbert: « I think that art coming centuries, looking back on our time, come to conclusions very different from those which come to our contemporaries. Respected currently painters and sculptors will be forgotten, but the emergence of electronic media will be declared the most significant change in the history of art. »


Today, elements using fractal design have become very popular in  screensavers of monitors in the "pending" and a in the video player. The use of such elements in the design of websites and electronic publications would allow pain to create exquisite design. Therefore, market analysis software to create fractals for choice optimum in terms of the use to design websites and e-books is important.

       One of the perspective types of computer graphics is fractal art. The concept of fractal, fractal geometry and fractal art appeared in the late 70's, now firmly established as a routine mathematicians and computer artists.


On the basis of the analysis found that many image editors have built-in tools to create fractal patterns. However, these tools are usually of secondary importance and have limited scope for adjusting generate fractal patterns.


Established that the most successful to create fractals are Chaotica multiplatform editor, which allows not only to build the image, but also to change it in real time. The program gives us a lot of features that help achieve the desired effect. For example color correction, adding new angles, work above, synchronization with the program Apophysis. Similarly by downloading your picture, the program itself can randomly put corners and give us a complete picture fractal image.

Additionally the usual rendering of simple shapes can create multi-fractal animation and video series. The program allows us to increase / decrease / rotate the 3D model shapes to create complex animations with multiple effects inspired, where each corner moves in its chaotic way.

By using editor Chaotica been creating different complexity fractal elements,

some examples are shown in Figure .1.


 Figure .1. Fractal images, with the use of: a - five coordinate,  b - three coordinates.


The influence of number of functions on the form and quality. Also developed based on numerous elements were created animation.

Established that the Chaotica Editor, offers great opportunities for creating and using fractals to process electronic books and sites in the form of still images and animations.


1. Fractals: The Patterns of Chaos: Discovering a New Aesthetic of Art, Science, and Nature- by John Briggs.

2. Introducing Fractals: A Graphic Guide by Nigel Lesmoir-Gordon.

3. The Fractal Geometry of Nature by Benoit Mandelbrot.