Recently there was a thread on the PostGIS list about how to create "dot-density" maps. Essentially this involves creating a set of N randomly-placed points which lie within a given polygon.
JTS already has a lot of random shape creation functions provided in the TestBuilder (randomPoints, randomPointsInGrid, randomRadialPoints, randomRectilinearWalk, etc). But they aren't currently exposed as a class in the API. This seemed like a good use case to initiate the development of such a class.
So now JTS has a RandomShapeFactory class. The class allows setting an extent using either a rectangular Envelope or a polygonal geometry, and will create sets of N points within the defined extent.
Here's a screenshot of the TestBuilder showing the new function at work:
Update: it's been pointed out that what is really desired is to have the points evenly distributed through the polygon. This will take a bit more thinking... At least the API won't have to change much to support this.