I wrote some software to draw pictures of the Maskit slice, including pleating rays. It allows you to zoom in as far as numerical precision allows, and it has a nice graphical interface (illustrated below). If you're interested in how it works, take a look here. You can export the pictures as postscript files or into Mathematica. You can also export to binary or ASCII format, but I haven't provided any documentation on these. The software runs on Windows, and requires DirectX (which should be installed on almost all versions of Windows now). If you want to try to compile and run this on Linux, let me know. It is possible, but it takes a bit of work and since each version of Linux is different I can't provide a precompiled version. You can download the software here (360k) as a zipped folder.
Maskit software screenshot