Fractal photoshop animation generators. Fractorama.

Mathematics literally permeated by harmony, and fractal graphics are direct confirmation. Science is present when creating each item, so it reflects all the beauty.

The creator of fractal geometry, Professor Malderbrot, wrote in his books that the graphics considered is not just repetitive images. This is the structure of any creature or an object on the planet, living and non-living. For example, DNA is the basis, one integration. But if the code begins to repeat, then a person appears.

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 should not be attributed a large number of Professional memory and 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.

Fractal - This is a figure with fractional dimension (not 2D and not 3D, but, for example, 1,5d or 2,3d). Thanks to this feature, the figure is self-like, i.e. consisting of a plurality of parts, each of which is a reduced copy of the whole figure as a whole. The concept of fractal in mathematics introduced an American scientist of Polish origin Benoit Mandelbrot (1924-2010). Here is the classic book on fractals (in DJVU format) the founder of this direction of mathematics.

Apophysis

To generate, display fractals and preserve them in the form of a picture there is no one dozen computer programs. Apophysis is one of the most popular. There is a basic version of the program (current Verdy APOPHYSIS 2.09) and an advanced version (Apophysis 7x). In the last more settings, a variety of templates and parameters for which the template can be changed. In both versions, you can, except for a static clip art, create a video (morphing one fractal in another). In the 7x version 7X, plugins are provided for the creation of three-dimensional fractals. The program interface coincides with 90%.

The image of fractals is based on complex mathematical formulas. From the program of the program, the mathematical apparatus is hidden, but it is possible to change various parameters of formulas that affect the transformation and color of the final image. One of the simplest work scenarios: a) choose a template that is closest to what you want to get in the end; b) in the editor to assign additional transformations or change the parameters of the transformations set for this template; c) adjust the color gamut; d) save to disk in standard graphic pNG format from transparent background. Templates are called flames. Conservation on the disk is called rendering (Render Flame).

Flames.

In any delivery of the program, a large or not very collection of flames is included. Each flame is a saved set of fractal parameters. Externally, the user can see flames as a list on the left side of the program window. This is a list of names in the form of text or a preheard. You can switch between display modes by the Classic View and Trumbnail View buttons on the toolbar. Click to the item of this list will lead to the fact that this template will be downloaded to the central window of the program and you will see the generated image. The drawing rate of the image depends on the installation of quality. For it, the element is in charge of the toolbar with values \u200b\u200bof 5, 10, 15, 50 ... The higher the quality is set, the longer the picture is drawn. And the picture will often redraw, with each change of at least one parameter, so I recommend setting the quality of the weakest 5, and increase it at all, if you still want to consider any details before saving to disk.

Apophysis 7x you can generate a new flame on the new button. In both versions, you can use the flame downloaded from the Internet - simply open the file from the FLAME file in the program. You can also create a flame in the form of a file on the disk - in the File menu subparagraph Save Parameters.

For beginners, working with the program is not so much a targeted change in parameters, how much choice between options that the program has generated. The panel has the Mutation button - 8 variations with respect to the current flame are randomly created. In the window that opens - 9 combinations, your initial option is in the center. You can set the program to the parameter that will participate in mutations.

Editor

The most interesting program module is the editor. In the editor, you produce a thin and finest setting of formulas (which are still hidden, but you work with their parameters). In the editor, you can also create your own fractal from scratch (the most left button NEW FLAME on the editor toolbar). A new transformation is added to the New Transform button, which is displayed on the main field of the editor as a triangle. On the Variations tab, the transformation is selected and the value is selected, different from 0 (if 0, then the parameter is not involved in the formula). In the Weight field, the weight of the transformation (the degree of influence on the entire picture) is exhibited. You can read more about working with the editor.

Colors

The color gamut for your fractal can be assigned both for a separate transformation (this is done in the editor on the Colors tab) and for the entire composition (the Gradient button on the display panel Apophysis). Gradients as well as flames can be saved to the disk and share them between users. On the gradient tab, you can adjust the color gamut, contrast, brightness, blur, satiety ...

Last year, especially in the fall, when in virtue of personal circumstances, I was most far from fractal graphics and everything connected with it, I began to ask questions about the independent writing of the formulas for generating fractals. Sometime I had an interest in this area. Probably, if there is extra time, and more - a great desire, then it would take to this question with your head. But I understood that knowledge in the field of programming, which were sometime for me during the period of study at the university, were safely forgotten, because it was not used too long. Having powerful tools for creativity in the form of already studied and favorite programs, I did not see sense in search of something that could not meet expectations in the end. However, I can not stay away from the topic, which personally seems to be largely symbolic, because it can become decisive. This is an interest and traction to the new, to development, to uniqueness.
Today I will tell you about one interesting program designed for people who work out in programming.

So - Fractorama. Freeware. The author of the John F. Dumas program works as a software developer, teaches and holds a degree in applied mathematics. The program interface is quite laconic. Before you two windows. First - text editorIn which you need to write formulas, and the second is intended to visualize the result of your work - your own finished fractal.
Let's look at work from the Gallery of the program:

How do you? It reminds me of three programs at once, but it looks very pretty.
Some features of the program FRACT-O-RAMA! (That is how the author calls it).
All fractals are created using FRACT-O-RAMA fractal scripting language, which allows you to explore more than wide spectrum Fractal types than a number of other fractal generators. The program can work both on Win32 and in the UNIX environment, due to the fact that it was written using Qt. Comes with full source code. Each download contains documentation and a large number of formulas. Different download options are available - choose the appropriate.
If you are interested in the process of creating a fractal in this program, look at "About us".
Here is the gallery: https://fractoramafractalart.com/
Project page on Deviantart http://fract-orama.deviantart.com/
I will summarize. We have a curious program designed for those who know programming or want to learn. It is difficult to judge the status of the project today, since the last fractals in the gallery are dated 2015th year. In any case, the program is worthy of attention.

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Apophysis

Apophysis - is an interesting tool for creating fractals based on basic formulas. Created by such fractal formulas of fractals 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 preserved in the form of projects in own format Programs are either 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 Adobe Photoshop program interface, the more the program is accompanied by detailed illustrated documentation.

Created and ready-made fractal images can be visualized in high resolutionYou can use in printing and save in your own program format or in popular raster image formats (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.

Fractal photoshop animation generators. Fractorama.

Basics of fractal graphics

How to create a fractal graphics element?

Other actions with fractal graphics

Programs for generation

Existing formats

Scope of application

Examples

Pros and cons

Similarities and differences between fractal and vector

Unique features of fractals

Conclusion

Apophysis

Flames.

Editor

Colors

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Similar documents

Apophysis

Chaospro.

Fragmentarium.

Incendia.

Ultra Fractal

XenoDream.