Fractal Lake
From Ultrafractal Wiki
The idea of the "Fractal Lake" is an informal way to describe the "inside" part of a fractal, that is, points "Inside" the lake are those that have not "bailed out" before reaching Maximum Iterations.
Since this is a colloquial term it has been difficult to find references to this usage in the literature, but the name is believed to have pre-dated FractInt.
Damien's Insight
The term "lake" has been used to refer to the attracting portion of a fractal for a long time. Arthur C. Clarke's book "The Ghost from the Grand Banks" actually has the main characters living next to a real lake that coincidentally looked like the Mandelbrot set; what makes the reference noteworthy is that a real lake looked like the M-set "lake", a pun that only a few people would actually get. (And Clarke had a long fascination with fractals.) I'm fairly certain that this use predates FractInt but I don't have documentation to prove it, so I'm willing to be wrong. :-)
