Zoom Set I #5

Here is a magnification of an area of the lower part of the previous post, a little left of center. Coordinates -0.74910617+0.06947989i. The post has a zoom factor of 4.27x10-7. My program defines zoom differently than conventional usage. Perhaps I should call it something else. The number is the distance from the center to the left and right sides of the view port. If zoom is 1, and center is 0, then the horizontal display area ranges from -1 to +1. I find this convention much easier to work with. (And I will not explain it every time I use it.)

Zoom Set I #4

Here is the top left of yesterday's image. If you are keeping score, the center is at -0.7491014 + 0.0694844i.

Zoom Set I #3

Here is a closer look at one of the spirals in the upper left of yesterday's fractal.,

Zoom Set I #2

This is a zoom of one of the fireworks explosions on the right side of yesterday's image.

Zoom Set I #1

Today's fractal image is from deep in the Seahorse Valley

Basic Fractal #6

This is a zoom into the lower right of the previous image. Coordinates are -0.0821507304089322 + 0.8799895735168i. The zoom is 10^8, the iteration bailout is set for 30720. That may seem like a deep zoom, but many people have dug much deeper into the Mandelbrot set.

Basic Fractal #5

Fractal art, such as in the previous post, often resembles Psychedelic art. It may be interesting to ruminate about the similarity in a future post. But let's leave the deep thinking for later, and for now just say "it's the colors".

When I am building a fractal I am always tempted to add more and brighter colors. In my program, that is an easy knob to turn. There are so many colors to choose from, I do not want to leave any out.

It takes more effort to work with a limited palette. Here is the same fractal as the previous post, but with a blue and brown color palette.

Basic Fractal #4

This is a magnification of one of the spirals in the lower left of the previous image. Coordinates are -0.0821502555 + 0.8799897640i.

Basic Fractal #3

Here is a zoom into the area between the top bulb and the main body of the minibrot in the previous post. For those with a map, the center is at -0.0821489887 + 0.8799892298i

Basic Fractal #2

One fun feature of many escape time fractals is that they are self-similar. By zooming in on the tendrils surrounding the top bulb in the previous image we find a minibrot.

Basic Fractal #1

OK, time for another reboot of my web site. I will showcase computer generated art. I plan to include many types of computer art. My interested in computer art solidified when mathematics, art, and computer programming came together in a Scientific American article in 1985. And then with the 1986 book The Beauty of Fractals by Heinz-Otto Peitgen and Peter Richter.

Fractals will be the starting point for this blog. In particular escape time fractals. Wikipedia knows everything, and explains Fractals better than I can. Today's image is of a specific type of escape time fractal, the Mandelbrot set. Again, I will let Wikipedia link provide the details.

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