wizzleworld Fractals

My love affair with web graphics started shortly after I did my first homepage back in June of 2012. It was a simple page, made up of graphics I found surfing the net. People on the web are incredibly generous in putting up great graphics and everything you need for a decent page can be grabbed with your browser or an ftp program.

The one limitation I ran up against very quickly was the size of the graphic. So I bought JASC Paintshop Pro from their web site. It turned out to be a lucky choice. Not only could I re-size graphics, but I could add borders, text, contour, change their colors and more. Most of my 2012 Christmas graphics, my first venture into original stuff, were made with Paintshop.

At $65, Paintshop is a real bargain and will satisfy your urge for creativity for a long time. The tutorial that came on the CD rom was excellent and there is more help now at the Paintshop site to get you started plus there are many websites that offer tutorials.
Which Is the Right Program for You?

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It’s true.  We are all searching our “unique artistic voice” so that, as artists, we can make an impact on our community and one day, the world.  Many people want to “separate themselves from the pack” and be on their own path. But just because we want to be individuals in art – doesn’t mean we have to do it alone.

Look at all the great artists of our history.  Many of the famous creators from our past and present hung out with each other, learned from each other and collaborated with each other.

They understood that creating great art means you have to surround yourself with inspiring people.  Not so you can copy their work, but to be able to learn from their experiences and be inspired toward their own perspective.  Don’t believe me?

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Fractal Art consists primarily of mathematically-inspired, computer generated, abstract images that, in a very powerful way, are reflecting the beauty and intensity of mathematics, a facet that’s often overshadowed by the subject’s dry analyses and formulas.

Fractal Art images are generated by using fractals, and fractals are generated by repeatedly iterating a simple formula that uses complex numbers, meaning numbers that include 2 parts that correspond to a computer screen’s two dimensions.

These fractal images can be identified by their own characteristic pattern which is repeated at different scales all through the image. Fractals also come with the property that, in a mathematical sense, they are having infinite detail, meaning that you could zoom endlessly (sure, as far as your computer allows you to) into a fractal that will not change the structure.

These two features (the repeating pattern and infinite detail), make that fractals are used to picture to model various natural phenomena. There are people, and I am one, who find them very interesting.

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There is no easy answer to your questions on iteration traps and patterns. It is important to separate the two issues in your own mind. They are completely different and independent concepts. Patterns originated as a routine called Cross Stitch that I never published.

The reason I didn’t publish it is that I knew that it would have to be used in conjunction with some sort of masking routine in order to be effective and I realized that it would be better to combine them. Since I had already written Iteration Traps, it made sense to combine them; hence, Iteration Trap Patterns.

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images-28Select the eyedropper and click on the image somewhere near the center. The screen should go mostly, if not all, to the solid color. Put a decimal point before the 1 in the width input box. Now it reads 0.1. If nothing happened, put a zero between the decimal point and the 1, making it 0.01. Keep doing this until you see a (Solid color) stripe. This stripe will be up and down in your fractal.

Now, put the same number in the height box and you’ll have a circle. If you select the rectangle shape, it will change to a square. If you put different values in the height and width, you will get an ellipse or a rectangle instead of a circle or square. If the Rotation Angle of the fractal is not zero, the shape will move in the directions that were originally up and down or sideways.

In other words, if you change the Im value, the shape will move parallel to the stripe you saw earlier. Bigger numbers in the positive direction will cause movement in the direction that was originally up and bigger negative numbers will cause downward movement. In the Re box, positive is right and negative is left.

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1. Moving to the left by setting translation to -0.5
2. Moving to the left by setting location to -0.5

In the first case you can see the image shift within the sphere which it does not do in the second case. It’s a little confusing to visualize what’s happening here and that makes it hard to describe. Anyway, here’s a try at it:

When you move the ball to the side using the Translation value, the image is changed as if you stay in one place while the ball moves straight sidewise. Therefore, your perspective changes and you see more of the inside aspect and less of the part toward the outside of the window. If you move it using the Center coordinates on the Location Tab, it’s as if you move along with the ball, leaving your perspective unchanged.

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