While I love animations, you can't hang one on your wall. Some of the images on this page are in super-high resolution and are drawn with very aggressive supersampled pixel averaging for anti-aliasing to produce picture-perfect results, suitable for framing.
The best high-resolution images are below. Just scroll down. These are not all deep zooms, but they are all very nicely done. Also be sure to check out the other cool pages in the table below. (I split them off to keep the pages a reasonable size!)
| Henon map images ("Phoenix") | A few very early, quick snapshots of my new favorite thing, the Henon map, illustrating some of its Julia sets, and one of the Mandelbrot-like sets for this function. |
| Recent deep zoom images | Some deep-zoom images from within the past year. |
| Early deep zoom images | Deep-zoom images from a few years ago when I first got the high-precision math working. |
| Early other images | Definitely historical interest, showing how the software has evolved. Some are very nice but clearly there are limits to what you can do without high-precision zooming. |
| Third Order | Third-order (or higher) polynomials make images that are similar, but different. It's a bit slower since there are more multiplications involved, so there aren't as many of them. It's neglected artistic territory, really. |
Click on the thumbnail in the left column to view the large version of the image. The images are different sizes. I have tried to note the image size in the description, especially if they are very large.
![]() | One of my first really impressive images with a great color palette. I printed this one to 8x10 photo paper and framed it. I have lost the record of where this is located, but it's clearly somewhere in the main set's cusp. |
![]() | Feb 8, 2002 1280x1024 Size: 7.99e-12 The same image with two different colorings. These are both high-resolution images at the highest zoom possible with standard-precision math. The blue one also got printed to 8x10 and framed. |
![]() | Feb 20, 2002 Another nice image with no record of where it is from, but probably you could figure it out based on how it looks. |
![]() | Apr 6, 2002. |
![]() | Nov 19, 2002. I didn't record where this was, but it's probably not a deep zoom. It's pretty but could use some anti-aliasing. |
![]() | Nov 21, 2002. This is really one of my favorite. Unfortunately, the raw data is not in my history folder and I don't know exactly where the image is located, but again it is somewhere in the cusp of the main set and doesn't seem to be a deep zoom. |
![]() | Jan 27, 2003 1280x1024 Size: 2.81e-12 Another heavily anti-aliased zoom in the cusp of the main set. The size is right at the borderline of the maximum zoom that can be drawn with native floating point precision at this resolution. |
![]() | Sep 3, 2004 2000x1600 Size: 3.71e-31 |
![]() | Jun 6, 2005 2000x1600 Size = 9.71e-28 |
![]() | Aug 6, 2006 1280x1024 Size: 3.46e-18 |
![]() | May 6, 2007 3000x2400 Size: 4.04e-32 |
![]() | Jun 19, 2007 3000x2400 This is a low-precision zoom to an area in the western antenna using the distance estimator drawing method. Is this gorgeous or what? Definitely worth 7.2 million pixels. Size: 4.8e-11 I made a quick (36 seconds) animation into this location. 2.5 MB MP4 320x240 15 fps |
![]() | Jun 2, 2007 3000x2400 This is a zoom into the cubic Mandelbrot (see here for more), but I have unfortunately lost the raw data file with the location and size, so I'm not sure if it is a deep-zoom, although it looks like it probably is. |
![]() | Sea Horse valley example. This was done with 25X oversampling for extreme anti-aliasing to produce a very high-quality, noise-free image. Click here for an image of an actual seahorse (public domain image by NOAA). The genus name "hippocampus" was adopted by neuroanatomists to refer to an area of the brain that has a similar spiral shape. |
Note on size and magnification: The sizes here (and on the Animations page) are the actual size of the smallest dimension of the image (usually vertically) in the complex number plane. Some programs describe image sizes by "magnification" which is usually related to the reciprocal of the image size. A size of, say, 1E-100 corresponds to a magnification of 1E+100. Some software uses the half-height of the image, so there may be an additional factor of two involved in conversion.