Creating a program for building fractals Example. Fractorama.

Probably it is difficult to find people who would not fascinate the contemplation of fractal graphics - in its mysterious elements someone can see the fire flame of the fire, someone - the long vacuum of pegless algae in the thickness of the water, someone - the whole sacrament of the universe.
But anyway, fractal graphics unequivocally attracts our eyes, and software packages To create it, they can become the step that will bring closer to the real fractal creativity, especially since they are completely simple in development.
With the use of fractals, not only irregular images can be built, but also quite realistic (for example, fractals are often used when creating clouds, snow, coastal lines, trees and bushes, etc.). Therefore, it is possible to use fractal images in a variety of spheres, starting from creating conventional textures and background images and ending with fantastic landscapes for computer games or book illustrations. And similar fractal masterpieces are created (as well as vector) by mathematical calculations, but in contrast to vector graphics with a base element of fractal graphics itself is the most mathematical formula - this means that no objects in the computer is not stored, and the image (no matter how it is It is intricate) is based solely on the basis of equations.
1. Art Dabbler Program
Familiarity with the basics of fractal graphics is best started with the Art Dabbler package. This editor (created by the company Fractal Design.And now belonging to Corel) actually represents a truncated version of the Painter program. it excellent program For learning not only computer graphics, but primarily drawing azam. Small amount of memory required (for its installation you need only 10 MB), as well as a simple interface, affordable even to the child, allow you to use it in the school program. Like the MS Paint raster editor, the Art Dabbler fractal editor is particularly effective at the initial stage of computer graphics.
The main attention to the developers of the ART Dabbler package was given to two factors:

the creation of a simplified interface, the main element of which are boxes of instrumental sets (called extensive boxes here);
the possibility of using a package as a training program. To implement this purpose, the package of the package along with the program itself includes tutorial "learn to draw" and a training film on a CD. The drawing lessons offered in them allow step by step to observe the process of creating experienced artists of color images by the ART Dabbler package.

The menu bar includes six items: standard for most programs - File, Edit and Help, as well as Effects, Options and Tutors, which are present in most graphic programs And do not need additional comments.
Art Dabbler provides a set of effects (Effects menu) that can be used to change or distort images. For example, the Texturize effect creates paper textures, canvas, etc., expanding the creative possibilities of the artist.
It should be noted that in Art Dabbler, drawers are called all tools in the same way as, for example, in Photoshop, similar means are called palettes, and in CorelDRAW - doctors. They contain brushes, pencils, rubber bands and other tools, to activate which it is enough to press them the corresponding icon. On the front walls of the boxes, a small number of buttons is displayed and the knob by clicking which the user gets access to the whole set through it operations thanks to the opening additional buttons.
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2. Ultra Fractal Program
ULTRA FRACTAL - the best decision To create unique fractal images of professional quality. The package is distinguished by a friendly interface, many elements of which are reminded by the Photoshop interface (which simplifies the study), and is accompanied by incredibly detailed and well-illustrated documentation with a series of tutorials, in which all aspects of work with the program are phased. Ultra Fraactal presented two

editors: Standard Edition and advanced Animation Edition, the capabilities of which allow not only to generate fractal images, but also create an animation based on them. Created images can be visualized in high resolution, suitable for printing, and save in own format Programs or in one of the popular fractal formats. Visualized images can also be exported to one of raster graphic formats (JPG, BMP, PNG and PSD), and ready-made fractal animations in AVI format.
The principle of creating fractal images is quite traditional, the simplest - to use one of the attached formulas (navigated relative to the possible species generated by the selected image formula will help the built-in browser), and then construct the formula parameters in the desired way. And if the experiment was unsuccessful, the last actions are easy to cancel. A lot of finished fractal formulas, and their number can be expanded by downloading new formulas from the program site. Prepared users may try with happiness and in creating their own formula, for which there is a built-in package text editor With support for basic templates based on standard designs of the programming language of fractal formulas.
However, it is not necessary to think that the sacrament of the fractal image lies only in a successful formula. Other aspects are equally important. For example, color setting, involving the choice of the color option and the accurate setting of its parameters. Color setting is implemented at the level of solid graphic packets, such as gradients, can be created and configured independently, adjusting multiple parameters, including translucency, and save them in the library for further use. The use of layers with the possibility of changing the modes of their mixing and the adjustment of translucency allows you to generate multilayer fractals and by imposing fractal images to each other to achieve unique effects. The use of opacity masks ensures masking of certain areas of the image. Transformation filters allow you to perform various conversion to the selected fragments of the image: scaling, mirroring, cutting down the template, distorted by twist or rowani, multiply by the principle of kaleidoscope, etc.
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3. FRACTAL EXPLORER program

Fractal Explorer is a program for creating images of fractals and three-dimensional attractors with fairly impressive capabilities. It has an intuitive classic interface that can be configured in accordance with user preferences, and supports standard fractal image formats (* .frp; * .frs; * .fri; * .fro; * .fr3, * .fr4, etc.) . Ready-made fractal images are stored in * .FRS format and can be exported to one of the raster graphic formats (JPG, BMP, PNG and GIF), and fractal animations are saved as AVI files.
The generation of fractals is possible in two ways - on the basis of basic fractal images, built on the supplied formulas, or from zero. The first option allows you to get interesting results relatively simply, because it is easy to choose a suitable formula, especially since the convenient file browser will allow you to evaluate the quality of the fractal from the base before creating a fractal image on it. At the fractal image obtained in this path, you can change the color palette, add a background image to it and determine the mode of mixing the fractal and background layers, as well as the degree of transparency of the fractal layer. You can then subjected to a fractal transformation image, if necessary, scale, determine the size of the image and carry out rendering. Creating an image from zero is much more complicated and assumes the choice of one of two ways. You can choose the type of fractal almost from 150 options. And then go to change a variety of parameters: Setting up the palette, background, etc. And you can try to create your own user formula using the built-in compiler. Before rendering the finished image, it may be necessary to carry out the automatic correction of the color balance and / or manual correction of brightness, contrast and saturation.
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4. Chaospro program
Chaospro is one of the best free fractal image generators, with which it is easy to create an infinite many amazing fractal images. The program has a very simple and convenient interface and along with the possibility of automatic fractal construction allows you to fully control this process by changing a large number of settings (number of iterations, color palette, degree of blur, projection features, image size, etc.). In addition, the created images can be multi-layered (the mixing mode of the layers can be controlled) and you can apply a whole series of filters. All changes imposed on under construction fractals are immediately reflected in the viewing window. Created fractals can be saved in their own program format, or in one of the main fractal types due to the presence of a built-in compiler. Or exported to raster images or 3D objects (if a three-dimensional fractal representation was obtained).
In the list of features of the program:

accurate color setting, providing smooth gradient colors transitions to each other;
simultaneous construction of several fractals in different windows;
the ability to create animation based on fractal images with the definition of key animation phases, which may differ by any variable parameter: corners of rotation and rotation, color parameters, etc.;
creating three-dimensional fractal representations based on conventional two-dimensional images;
support for many standard formats Fractal images that can be imported and edited in the ChaosPro environment.

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5. Apophysis program
Apophysis - Interesting tool

nT to generate fractals based on basic fractal formulas. Created by finished fractal formulas can be edited and unrecognizable, adjusting a variety of parameters. For example, in the editor, they can be transformed, or changing the triangles underlying fractals, or applying the resulting transformation method: wave-like distortion, perspective, blur over Gaussu, etc. Then it is necessary to experiment with flowers by choosing one of the basic variants of gradient fill. The list of built-in fills is sufficiently impressive, and if necessary, you can automatically select the most suitable fill to the existing raster image, which is relevant, for example, when creating a fractal background in the same style as other images of a kind of project. If necessary, it is easy to adjust the range and brightness, change the background, scale the fractal object and clarify its location on the background. You can also subjected to a variety of mutations in the desired style. At the end, set the sizes of the final fractal image and write its visualized version as a graphic file (JPG, BMP, PNG).
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6. Mystica program
Mystica is a universal generator of unique fantastic two-dimensional and three-dimensional images and textures, which can later be used in different projects, for example, as real textures for Web pages, desktop backgrounds or fantastic background images that can be involved, for example,

registration of children's books. The package is characterized by a non-standard and fairly complex interface and can work in two modes: sample (focused on newcomers and contains a minimum of settings) and Expert (intended for professionals). Created images can have any size and then exported to popular graphic 2D formats. Directly from the window of the program you can send them e-mail, Publish in an HTML gallery or create a video in DivX, MPEG4 formats based on them. Built-in three-dimensional program engine can be used when creating three-dimensional scenes for computer games, such as fantastic backgrounds and landscapes.
The generation of images is carried out on the basis of the fractal formulas embedded in the package, and the image preparation system is multi-level and includes very detailed setting colors, the possibility of simple transformations of generated elements and a mass of other transformations. Among them, the use of filters, a change in lighting, the adjustment of the color gamut, brightness and contrast, the change of the material used in generating, adding to the image "chaotic" structures, etc.
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Fractal images are used in a variety of spheres, ranging from creating conventional textures and background images and ending with fantastic landscapes for computer games or book illustrations. Fractal images are created by mathematical calculations. The basic element of fractal graphics is the mathematical formula itself - this means that no objects in the memory of the computer are not stored, and the image is built solely on the basis of equations.
The mystery of the fractal image does not lift only in one successful formula. Other aspects are equally important. For example, color tuning, transformation filters, etc.
There are many programs to create fractal images. These programs have their advantages and disadvantages. With the development of technologies, the number of programs increases, and their quality and possibilities are improved.

Basic fractal generators
Good day, dear fitstairs lovers!

I am often asked from which program it is better to start learning fractal graphics. There is no answer to this question. You must decide which fractals you like and start learning, it is, from the program that fractals you liked.

In this topic, I will tell a little about my impressions from working with different programs, and I can also say where they can be downloaded.

FRACTAL EXPLORER.

In my opinion the easiest program, both in learning and by weight. Very convenient interface, you almost immediately see how your picture changes. But despite the fact that the program is lightning, it turns out very interesting fractals. The program often raises surprises. The main thing is to see these surprises.

The essence of the Fractal Explorer program comes down to find an interesting element in an attractive picture.

Here is a small example, which was first and what did it happen

And a few more fractals made in this program

If you like fractals made in this program, you can download it with Ya.Disk. The program is free.

For example, several works made in the Apophysis program

Jwildfire.

The program is very similar to Apophysis only with great opportunities. It can work with layers, more interesting lighting and blur. I noticed that in recent times many are switched, it is that this program. All plugins are immediately installed in the program, unlike apophysis.

What I do not like? The program itself generates enough, cute fractals. On the one hand, there is nothing wrong with that, on the other hand, beginners begin to be lazy and give fractals generated by the program for their ...

Here is one of the fractals that I did in this program. Here are three layers

Now about the sad. I could say that the program has no shortcomings. But they are, only one, but essential, Ultra Fractal is a conditional program. You can download the demo version on the office

Mandelbulb3d.

The program for generating 3D fractals. Very interesting. You can create entire worlds, with due diligence and patience. The program has many formulas that you can and need to combine. Also as in Fractal Explorer, you need to find an interesting element in a little interesting, at first glance.

Here is a small example of what was and what happened

And a few more pictures for clarity

The program is free. You can download it.

If you are loading on the site to which I gave a link, I will find very interesting works in the gallery.

I found only one job made in this program.

I got like this small review Basic fractal generators. Of course, in fact, there are much more of them, but these are the most popular and most interesting, in my opinion.

That's all! I wish you creative success!

In our current article, you will learn: how and with the help of what you can draw fascinating mysterious futuristic fractals, and on the upcoming weekend there will be something to do.

Fractal is called a complex geometric shape consisting of similar parts of the whole figure. Fractal properties have some objects from our life, for example, snowflakes, trees crowns, etc. Fractal graphics fracthers with their mysteriousness and unequivocally attracts our eyes and most people like such drawings - this is how the magic of fractals on people is. Fractal drawings can be similar to surreal and pretty realistic. Therefore, fractals are used in different fields: from creating textures and backgrounds to fantastic landscapes for games or illustrations.

Fractals are created not simply by moving the brush, as real artists create pictures, and by mathematical calculations, the basic element of which is a mathematical formula. This is so simple and fractals are built only on the basis of mathematical equations.

Programs with which fractal images are created, not as much as I would like. In this regard, it is problematic to find a functional program on the Internet and even in popular program catalogs, one of which is our site. Therefore, we decided to correct this error by writing this article to our readers to generate fractals that you can download also from our catalog.

Apophysis

Apophysis - is an interesting tool for creating fractals based on basic formulas. Fractals created by such fractal formulas can be changed beyond recognition using a variety of parameters (transformation, color, conversion, gamma, brightness, scale).

Download apophysis fractal generator.

Chaospro.

Chaospro is one of the best free fractal generators, with which you can easily create many futuristic fractal patterns.

The program is quite easy to figure out the simple and convenient interface and automatic generation of fractals. Podnapive experience in creating fractals can be switched to complete control generation of fractals with a large number of settings (color, blur, iteration, projection, size, multi-layered image, filters, etc.).

2D fractals can be converted to 3D fractals when using 3D transformation. The program allows you to create animation based on fractal images.

Created fractals are saved as projects in their own program format or are exported to raster images (JPG, BMP, PNG). 3D transforms are saved as 3D objects in POV format, and animation in AVI format.

Download program for creating Fractals Chaospro.

Fragmentarium.

Fragmentarium is a free fractal program, the main charm of which is to write their own own formulas And on which fractals will be built.

Before trying to write your formulas to create fractals, you can use some of the standard formulas that are already clogged into the program.

The program can create 2D and 3D fractals with greater resolution and excellent quality. In addition, the Fractal animation can be created in Fragmentarium.

The main criterion for using this program in the creation of fractals is the presence of a more or less modern video card in your computer.

Download Fragmentarium Fractal Generator.

Incendia.

Incendia is a full-fledged free and multiprocessor program for generating 3D fractals.

The latest version of the program has rather rich functionality to generate full-fledged three-dimensional fractals, allowing you to generate perfect images with a resolution of 1024 to 8192 pixels.

The program includes 45 varieties of all sorts of fractals and a large library of textures, as the possibility of exporting fractals in the form of animation.

Beginning with recent versions Incendia programs, the Geometrica application is supplied with it, with which you can export 3D fractals to other editors of three-dimensional graphics.

Download Factory Fractal Generator Incendia.

Ultra Fractal

Ultra Fractal is best program To create unique professional fractals. The program interface is simple and something reminds the interface adobe Programs Photoshop, especially the program is accompanied by detailed illustrated documentation.

Created and ready-made fractal images can be visualized in high resolution, which can be used in printing, and save in your own program format or in popular formats raster images (JPG, PNG, BMP, PSD), and the animation is exported to video format (AVI).

The program comes already a few robbed formulas for the creation of fractals - this is the most simple way Creation of fractal images for beginners. Subsequently, the created fractals according to standard formulas can be edited to their taste, adding translucency, gradient, multi-layered, mask, scale, distortion or trimming by fractal.

Download best generator Fractals Ultra Fractal.

XenoDream.

XenoDream - This program is a medium to create a variety of futuristic volumetric structures by combining simple forms and fractals.

To create a three-dimensional fractal, it is not necessary to know fractal formulas, in Xenodream you can create random fractal structures with just one click. With a variety of settings that a huge amount, you can change the position, size, rotate, add gradients, etc. In addition to this, you can control the camera, changing its position, focus and slope, you can also change light sources and the presence or absence of shadows even for Separate forms.

The program can create animation of fractals that are stored as separate images.

Ready-made futuristic fractals can be saved in your own program format or export to popular graphic formats (JPG, BMP, PSD, TGA), three-dimensional objects can be saved to OBJ, POVRAY INC formats and depth cards depth Maps.

Download software To create xenoDream fractals.

In this article, we reviewed several well-known solutions that until today are still being developed and updated. They allow you to generate futuristic fractals. Each program has its own characteristics and directions, so to say which one is better not possible.

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Students, graduate students, young scientists who use the knowledge base in their studies and work will be very grateful to you.

Basics of fractal graphics

What is fractal graphics? This is one or more each of which is similar. That is, the image is made up of the same parts.

The word "fractal" itself can be used if the figure has one or more of these properties:

Nontrivial structure. When a small detail of the entire image is considered, the fragment is similar to the whole pattern. An increase in scale does not lead to a deterioration. The image always remains equally difficult.
Each part of the figure is self-like.
There is a mathematical dimension.
Constructed by repetition.

Many objects of natural or artificial origin are endowed with the properties of fractals. These include blood systems of man and animal, crowns and roots of trees and so on.

Fractal computer graphics becomes popular because it is possible to achieve beauty and realism by simply constructing with the help of appropriate equipment. You only need to set the correct mathematical formula and specify the number of repetitions.

How to create a fractal graphics element?

Creating fractal graphics will differ depending on its classification: geometric, algebraic or stochastic. Despite the difference, the result will always be the same. Since fractal graphics begins with geometry, it should be considered to create it on the appropriate example:

Specify the condition. This is a figure, based on which the image will be built.
Specify the procedure. It converts the condition.
Get a geometric fractal.

Usually, the zero condition is represented as a triangle.

To build an image, you need to apply two procedures. First, Drawtriangle. It builds a triangle at the points specified by the user. Secondly, Drawgenerator. It indicates the number of points. Each procedure can be repeated several times or infinitely long. To determine this indicator, the numerical argument n.

Other actions with fractal graphics

After the fractal graphic element was created, various additional steps can be produced with it:

Turns and stretching. This increases the individual details of the drawing, or they take the user needed Form.
Grouping objects. Usually this feature is used to assign the desired scale.
Conversion of colors. The image can be painted in any shade, set the tone.
Changing the shape of the entire object or individual parts.

It must be remembered that the images of fractal graphics ultimately predict is impossible. When the triangle increases too much, the view will be unreal, the user will see only a black window. When the desired texture is detected, all changes with it must be carried out in the minimum order, constantly keeping the permissible option.

Programs for generation

There is no such person who would not attract fractal graphics. Programs involved in its creation are presented in large quantities. Therefore, it is necessary to deal with the most suitable for beginners.

Product Art Dabbler is the best wayIf the user used to deal with its taxes before. Here you can not only master the graphics, but also learn to draw on the computer. To other benefits include a small amount of memory occupied and an intuitive interface.

Another program is Ultra Fractal. It is already focused on the work of professionals, it will be difficult for beginners to figure it out. The interface is quite complicated here, but the manufacturers have completed it using the example of ordinary Photoshop. If the user dealt with this program, then the buttons will figure it quickly. The feature of Ultra Fractal is that it is performed here not only the graphics fractal as a standard and ordinary image, but also animation. Formulas for compilation are attached, but if necessary, the user will be able to use its own.

Existing formats

Fractal graphics formats define the form and method of storing file data. Some of them include a large amount of information. Therefore, they must be compressed. And do it not by archiving, but directly in the file. If you choose it correctly, the compression will occur automatically. There are several algorithms for this procedure.

If the user is before the user, most of which is suppressed in one color, it is reasonable to use BMP and PCX formats. A sequence of repetitive values \u200b\u200bis replaced here.

A diagram that is very rare, but still used in fractal graphics, it is logical to put in TIFF or GIF.

Part of the formats is universal. That is, they can be viewed in most editors. But if the user is important, the original program must be applied.

Fractal formats are not supported by browsers. That is why their transformation is carried out if there is a need to upload to a particular site.

Scope of application

The use of fractal graphics can be called actually widespread. Moreover, this area is constantly expanding. At the moment, the following areas can be noted:

Computer graphics. Realistly depicts reliefs and natural objects. This is applied to the creation of computer games.
Analysis of stock markets. Fractals are used here in order to note the repetitions that will later play the traders.
Natural Sciences. Nonlinear processes are simulated in physics using fractal graphics. In biology, it describes the structure of the circulatory system.
To reduce the amount of information.
Creating a decentralized network. Through fractals, it is possible to provide a direct connection, and not through the central regulation. Therefore, the network becomes more stable.

At the moment, the use of fractals in the production of various equipment is practiced. For example, a conveyor for creating antennas, excellent signals, has already been launched.

Examples

Examples of fractal graphics are common from primitive to very complex repetitive elements. A unique feature of this type is that the drawing can be made exclusively from exclamation or

Standard, but relatively complex examples of computer fractal graphics are clouds, mountains, sea coasts and so on. They are often used when creating games.

Most. simple example You can call Koch curve. First, it does not have a specific length, and it is called endless. Secondly, there is a completely lack of smoothness. Therefore, it is impossible to build a tangent.

Pros and cons

Most recently got the fractal schedule recently. It is too blurred, because there is no normal theoretical base. Terminology and principles of its use are not fully studied, despite the fact that they are effective and workers.

The advantages of fractal graphics consist of several factors:

Small size with a scale drawing.
No end scaling, the complexity of the picture can be increased infinitely.
There is no other of the same tool that will allow creating complex figures.
Realistic.
Easy to create work.

The disadvantages of fractal graphics are also present. First, without a computer here is not to do. Moreover, the longer the number of repetitions, the more the processor is loaded. Accordingly, only high-quality computer equipment can cope with the construction of complex images.

Secondly, there are restrictions in the initial mathematical figures. Some images will not be able to create by fractals.

Similarities and differences between fractal and vector

Vector and fractal graphics are very different:

On encoding images. The vector involves the contours of different geometric figures, fractal - a mathematical formula, which is based on a triangle.
For use. The vector is used everywhere where you need to get a clear contour. Fractal graphics more specialized, she found its use in mathematics and art.
By analogs. Vector analogues are slides or functions on schedules. Fractals are snowflakes or crystals.

Despite the diversity of distinctive features, these two types of graphics combines image quality. It remains unchanged, regardless of the level of scaling.

Three-dimensional, vector, raster, fractal graphics are similar in one - all of them are widely used in solving various computer tasks. To get a really high-quality image, you need to use each of them.

Unique features of fractals

Fractal graphics has no analogues. She is unique in its kind. Firstly, one small plot can tell immediately about the whole drawing or image. Information about all fractals is available, because He is self-like.

In the center of any image related to this type Graphs, there is an equilateral triangle. All other parts of the drawing are either its parts or reduced / enlarged copies. That is, one particular element takes part in the image.

In order to use fractal graphics, you do not need any objects stored in the computer's memory. It is possible to proceed with the creation, having one mathematical formula at hand.

Conclusion

Fractal graphics are very realistic. It happens because its details and elements are constantly met surrounded by a person - mountains, clouds, sea shores, various natural phenomena. Some of them remain constantly in the same condition, such as trees, stony areas. The rest are continuously changing like a flickering fire flame or blood moving along the vessels.

The development of fractal technologies today is one of the progressive areas of science. It is used not only in computer graphics. Perhaps, if scientists manage to get to their essence, a person will begin much better understand this world.