Grand Julian IFS

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Grand Julian IFS Examples

Julian 01 Grand Julian IFS 01	Julian 02 Grand Julian IFS 02	Julian 03 Grand Julian IFS 03
Center Stage Grand Julian IFS 04	Royal Sapphire Grand Julian IFS 05	Connecting the Dots Grand Julian IFS 06
Solar Carburetor Grand Julian IFS 07	Epicyclic Gearing Grand Julian IFS 08	Ceremonial Armor Grand Julian IFS 09
Chromatic Aerophone Grand Julian IFS 10	Four by Four Grand Julian IFS 11	Curtain Call Grand Julian IFS 12
Gateway to Atlantis Grand Julian IFS 13	Filling in the Gaps Grand Julian IFS 14	Foiled Again Grand Julian IFS 15
Eye of the World Grand Julian IFS 16	Stairway to Heaven Grand Julian IFS 17	Finding Balance Grand Julian IFS 18
Mainspring of Time Grand Julian IFS 19	Unwinding Time Grand Julian IFS 20	Liquid Cooled Core Grand Julian IFS 21
Infinity's Eye Grand Julian IFS 22

The Grand Julian IFS examples are based on the Orbital Equation Grand Julian IFS.

Symmetry Transformations

Some of these examples apply a Symmetry Transformation to improve the fractal generation performance.

For example, if a fractal design exhibits reflective symmetry about the X axis (i.e., the fractal image below the X axis is a reflection of the image above the X axis), you can add a Symmetry Transformation that reflects points about the X axis to improve the performance of the fractal processing without altering the fractal image. The reason you need to be aware of this is because you might change something in the example that alters or eliminates the symmetry in the fractal, and if you do not change or remove the Symmetry Transformation, it will continue to inject the symmetry of the original example into the image. Sometimes this can result in an interesting image, but it can also result in a mess, so my rule of thumb is to check if there is a Symmetry Transformation applied to the image, and if so, reset it to the Identity transformation if your experiments seem to be adversely affected.

To check if a Symmetry Transformation is in effect, look for the Identity transformation:

General
Orbital / IFS / Strange Attractor
Symmetry Transformation: Identity

If you find the Identity transformation is selected as shown above, then no Symmetry Transformation is in effect. Otherwise, select the properties page for the transformation that is in effect to view the details. To reset the the symmetry transformation to the Identity transformation, select the existing symmetry transformation and change the Based On property to Identity.

Finally, when you apply a transformation to a fractal, you can apply the transformation before applying the symmetry transformation or after applying the symmetry transformation. If no Symmetry Transformation is in effect, then the distinction is irrelevant. However, if a Symmetry Transformation is in effect, the distinction is important.

Zoom In/Out

Zoom In or Zoom Out to examine different parts of the fractal.

Execute the Home command on the View menu of the Fractal Window to reset the fractal to the default position/magnification, and then Zoom In to other areas.

Remember that as you Zoom In, you may need to increase the Max Count property found in the Orbital / IFS / Strange Attractor section of the Orbital / IFS / Strange Attractor page to strengthen the image.

Play with the Orbital Equation's Properties

You can change the equation's properties for more variations.

Select the equation's properties page:

General
    Orbital / IFS / Strange Attractor
        Orbital Equation: Grand Julian IFS
            Properties

Change the Grand Julian property to select one of the preset designs.

If you want to define you own designs, set Count the the number of JuliaN transformations and then set the parameters for each of the transformations.

Additional information is given in the comment section of the Orbital Equation so select the equation's page and read the comments at the top of the program.

Change Transformation 1

You can apply a transformation to the orbit point before applying the symmetry transformation.

Execute the Home command on the View menu of the Fractal Window to reset the fractal to the default position/magnification before you adjust the transformation. Then change the transformation and Zoom In to interesting areas of the transformed image.

In the following discussion, when I refer to the transformation, I will use Identity, but you should use the transformation for the example you are working with.

To apply a transformation to the orbit point before applying the symmetry transformation, select the Identity transformation's page:

General
    Orbital / IFS / Strange Attractor
        Transformation 1
            Identity

Change the Based On property to select a transformation and then open the transformation's properties page (found under the transformation in the page hierarchy), and play with the transformation's properties. See Transformation Support for details.

To add additional transformations, select Transformation 1:

General
Orbital / IFS / Strange Attractor
Transformation 1

Click the New toolbar button to add a new Identity transformation to the bottom of the list. See Transformation Array for details.

Then select the Identity transformation:

General
    Orbital / IFS / Strange Attractor
        Transformation 1
            Identity

Change Transformation 2

You can apply a transformation to the orbit point after applying the symmetry transformation.

To apply a transformation to the orbit point after applying the symmetry transformation, select the Identity transformation's page:

General
    Orbital / IFS / Strange Attractor
        Transformation 2
            Identity

To add additional transformations, select Transformation 2:

General
Orbital / IFS / Strange Attractor
Transformation 2

Click the New toolbar button to add a new Identity transformation to the bottom of the list. See Transformation Array for details.

Then select the Identity transformation:

General
    Orbital / IFS / Strange Attractor
        Transformation 2
            Identity

Change the Symmetry Transformation

You can apply a Symmetry Transformation to inject symmetry into the image.

Typically, a Symmetry Transformation is used to improve performance by adding a transformation that mirrors the symmetry inherent in the fractal image already. However, in some cases, you can add a Symmetry Transformation to inject symmetry into an image where none existed before. In either case, the method is the same.

Select the symmetry transformation:

General
Orbital / IFS / Strange Attractor
Symmetry Transformation: Identity

Change the Based On property to select a Symmetry Transformation and then open the transformation's properties page (found under the transformation in the page hierarchy), and set the transformation's properties.