Messing with velocity and loads of other stuff

What happens when all the colors (Red, Green and Blue) are calculated from the same iteration? Well, usually a grayscale image or a black and white. But, what if the velocity is calculated differently for each color at the same iteration. Then the colors are not equal at every pixel and color mixing returns.



Note that because I don't have three velocity fields, I just replaced the "velocity" variable in each of the color equations.







Now, you can still make black and white images with alternate ways of calculating velocity. You just have to make sure that the color equations are the same.



Another example of different velocity equations at the same iteration.



Random image I liked



I liked the wood block print look to these next two.






Floor is used on both axis here.



Getting back to an old series of images.



Three variations on a ring.

y**2-x**2 series

More B5 and random experiments

Here's more stuff informed by Bernoulli polynomials and some other stuff I did recently. First, the other stuff...







And now more of B5. Both of these treat the Bernoulli polynomial as a complex polynomial, substituting (x+yi) for x and then separating the real and imaginary expressions into a transformation for x and y (respectively). This first image is a detail when sin() is applied to the x transformation as well as adding the original point with each iteration (the same way you would produce a Mandelbrot set from a Julia set).




This one does not add in the original point, but rather adds sin(y) to x and sin(x) to y. The screen capture of the settings shows 8 iterations. This image was really made with 50 iterations and an escape velocity of 100. Click on the image to enlarge it. It's much better.



In case you are wondering why the print on the settings have become so small, it is because the plug-in no longer fits on my screen with the standard font. I'm going to have to write a plug-in GUI soon. Maybe I can add some features like recalling old settings.

Bernoulli polynomials

Bill Kracke just sent me an article relating to Bernoulli polynomials. Of course, I had to see how they behaved as iterative transformations. Here's one result (based on B5)