The Mandelbrot Set is.... Currently closed due to health problems. People in the queue will remain there unless Webring.org has been up to no good. Whenever I'm up to dealing with this ring again, I will. Til then, my apologies. The Mandelbrot Set is a ring of online journals which are unique, intricate, and beautiful. They are also among the best journals out there. In my opinion. They are journals into which a considerable amount of care and work has gone; journals which reflect that with their excellence in design, writing, and graphics. They are journals which represent each writer's own particular style and which show the love and effort which goes into them. The journals in the ring are an eclectic mixthe most common threads are the frequent inclusion of personal artwork or photography, excellent use of graphics and design and a great deal of effort and care. Not all the journals I believe to be the best will choose to join, but these are among the most spectacular and enjoyable journals out there, according to my own biases. Each one of them has something special to share, and each one is chosen very carefully. This will be a small ring, probably in the neighborhood of a maximum of 3040 sites. You can visit them by traveling the ring, or by visiting the site list and reading the reasons why each one was chosen. While you're here, be sure to visit the hall of mirrors where the daily images of participating journals will be shown each day so you can see what we've all been up to. We also now have an image collab up for the winter holidays. Come take a peek.
The Mandelbrot set is....
The Mandelbrot set is the set of points in the complex cplane
that do not go to infinity when iterating z_{n}_{+1}
= z_{n}^{2} + c starting with z =
0. One can avoid the use of complex numbers by using z = x
+ iy and c = a + ib, and computing the orbits
in the abplane for the 2D mapping with initial conditions x = y = 0 (or equivalently x = a and y = b). It can be proved that the orbits are unbounded if z > 2 (i.e., x^{2} + y^{2} > 4). The boundary of the Mandelbrot set is a very complicated fractal with a Hausdorff dimension of 2. Bounded orbits may attract to a fixed point, a periodic cycle, or they may be chaotic.
a few more details.... The Mandelbrot set is a complex fractal. If you magnify a small portion of any complex fractal, and then magnify a small portion of that, the two magnifications will appear quite different. The two images will be very similar in detail, but not exactly identical. The area of the Mandelbrot set is unknown, but it's fairly small. The Mandelbrot set has infinite detail.

hall of mirrors  guidelines and how to join  site list with introductions  logos and ring code  edit site info