Plots of roots of polynomials with integer coefficients

Here is a jpg of roots6-4-col2:

But you have to see the detail in the postscript files below in order to really appreciate these images.

The files who names start with rootsD-H contain plots of all roots of all irreducible polynomials of degree at most D whose coefficients are integers between -H and H (the "height").

I think the nicest one might be roots6-4; but roots5-4 is nice too.

The points are coloured based on their degree, and the radius of the dots also varies with the degree. The files with -col and -col2 in their names use a different colour scheme. I like -col2. So roots6-4-col2 is my favourite.

The files are sized to an 8.5 x 11 inch page in landscape mode.

The .ps and .epsi files are the same data in different formats. I use gv to view the files on screen, and it needs to be given the .ps format. On the other hand, my printer driver can only handle the .epsi format. That's why I've provided both. If anyone can tell me how to make my .ps files more conforming, that would be great! Most of these files are compressed using bzip2, which is indicated by the .bz2 suffix. gv will uncompress these files as it reads them.

When previewing on screen, be sure to turn antialiasing off, e.g. with

gv -noantialias -orientation=landscape -media=letter roots6-4-col2.ps.bz2
Even with antialiasing off, the larger ones are slow to view and use hundreds of megabytes of ram. It takes gv about 1 minute to display root6-4 on my system, but you can see the points fill in during this time which is interesting. Try roots5-4 first.

The roots6-4 files plot 13,553,584 roots. And yet (uncompressed) they are about 24M in size. How do I store the coordinates, colour and radius of each root in under two bytes? The main clever trick is to use the 8 fold symmetry of the plots. The reflection symmetry in the x and y axes is clear, but can you see the third symmetry?

See http://math.ucr.edu/home/baez/roots/ for more about polynomial roots, and links to some references. And see the readme file for some further explanation.
[ICO]NameLast modifiedSizeDescription
[DIR]Parent Directory  -
[TXT]HEADER.html14-Nov-2009 20:45 2.3K
[ ]polynomial-roots.tar23-May-2007 10:32 70K
[ ]readme02-Nov-2007 11:03 4.0K
[ ]roots3-5.epsi13-Feb-2006 21:43 1.0M
[ ]roots3-5.ps.bz213-Feb-2006 21:39 12K
[ ]roots4-4.epsi13-Feb-2006 21:43 1.1M
[ ]roots4-4.ps.bz213-Feb-2006 21:33 51K
[ ]roots5-4.epsi13-Feb-2006 21:43 3.0M
[ ]roots5-4.ps.bz213-Feb-2006 21:39 535K
[ ]roots5-5.epsi13-Feb-2006 21:44 8.5M
[ ]roots5-5.ps.bz213-Feb-2006 21:39 1.9M
[ ]roots6-3-col.epsi14-Feb-2006 09:53 4.5M
[ ]roots6-3-col.ps.bz214-Feb-2006 09:51 941K
[ ]roots6-3-col2.epsi14-Feb-2006 10:46 4.6M
[ ]roots6-3-col2.ps.bz214-Feb-2006 10:47 942K
[ ]roots6-3.epsi13-Feb-2006 21:44 4.5M
[ ]roots6-3.ps.bz213-Feb-2006 21:39 941K
[ ]roots6-4-col.epsi.bz214-Feb-2006 10:04 5.7M
[ ]roots6-4-col.ps.bz214-Feb-2006 10:02 5.6M
[IMG]roots6-4-col2.big.jpg16-Jun-2006 15:27 402K
[ ]roots6-4-col2.epsi.bz214-Feb-2006 10:49 5.6M
[IMG]roots6-4-col2.jpg16-Jun-2006 13:06 304K
[ ]roots6-4-col2.ps.bz214-Feb-2006 10:47 5.6M
[IMG]roots6-4-col2.small.jpg16-Jun-2006 15:36 9.8K
[ ]roots6-4.epsi.bz213-Feb-2006 21:47 5.7M
[ ]roots6-4.ps.bz213-Feb-2006 14:51 5.6M
[ ]roots6-5.epsi.bz213-Feb-2006 21:58 24M
[ ]roots6-5.ps.bz213-Feb-2006 18:00 24M