![]() | The earliest dated saved image I can identify from my Mandelbrot set explorer, dated December 8, 2001. I know there are earlier images, but I can't be sure about the dates on some of them. For many of the images from this time, I forgot to save the image location, so I don't know exactly where in the set they are from. This image is nice, but not extraordinarily interesting. It's just the earliest one I can definitively date. |
![]() | This is another very early image from Dec 16, 2001, demonstrating the distance estimator method of drawing. I like the way the DE highlights the dwell bands and gives a really cool effect. |
![]() | This image demonstrates how bad aliasing can get when drawing certain regions of the Mandelbrot set. Compare this with the next image, which was drawn with aggressive anti-aliasing. |
![]() | This image is the same as the one above, but has anti-aliasing enabled. Anti-aliasing is essentially subdividing each pixel into smaller regions, calculating a count value in each region, and averaging them together. This smoothes out the bright spots in many images but dramatically increases the time required to draw the image. |
![]() | A small portion of a fibrous Julia set drawn with the distance estimator method. This image was created before I implemented a cubic spline interpolation for the color palette, and you can see bright bands where the linear interpolation segments meet. One of my favorite effects is using the DE method with a really saturated palette like this one, which is RGB-yellow-white. |
![]() | Dec 18, 2001. One of my favorite earlier images, and, at the time, one of the most impressive I had found, which is what led to the title "wow". The AA5 in the title refers to 5x5 anti-aliasing, which means each pixel is an average of a 5x5 subpixel grid. That is why this image is so incredibly smooth and free of aliasing. |
![]() | This is a moderately close view of the cusp of the Mandelbrot set, which is the part off to the right that folds in and actually extends all the way to (0,0) in the complex number plane. The top and bottom are actually in the set, and the narrow strip in the middle is the cusp extending inwards. This was drawn on Dec 18, 2001, way before I had high-precision math implemented, so it can't be more than E11 or E12 in magnification. Still, the flatness of the cusp is impressive. |
![]() | Dec 20, 2001. A "pod of doom". These were one of my favorite structures to find for a while in late 2001. |
![]() | This was an attempt at recreating the "wow" image from above. It's not really high-precision, but it's from this time period in the past. I still don't know exactly where this is from since I consistently failed to document what I was doing back then. |
![]() | Feb 13, 2002 I enjoyed finding these things for a while. This kind of effect is seen when you zoom into something near the "antenna" in the west part of a set embedded within another region. |