The Feigenbaum diagram

The first diagram that I have drawn was with the MathCad Plus v6.0 software. However after having upgraded to version 7 of the software, I have discovered that the upgrade was a downgrade instead as many functions used to compute my diagram had been removed in the new version. This is all that I needed to write a small C++ class that generates bitmaps to generate the Feigenbaum diagram with a small C++ program. I am quite satisfied of the result because by writing from scratch a program in C++, I got much more control on the output. Among other things:

1. Better resolution (1024*768)
2. More colors (MathCAD is limited to monochrome graphics, based on my experience)
3. Faster computation

To know more about Feigenbaum and his diagrams, consult the book 'Chaos: Making a New Science' from James Gleick or visit http://www.stud.ntnu.no/~berland/math/feigenbaum/index.html