Gmesh is three-dimensional finite element mesh generator with built-in pre- and post-processing facilities, it is also open-source. Hopefully it helps :).
Very interesting open source Mesh tools, all are adapted for space dimensionality N less or equal than 3 none of them can be used to higher space dimensionality N=4 or 5?.
Very interesting your question. As far as I know these utilities only generate 2 and 3 dimensional meshes commonly used for traditional methods such as the Finite Volume and Finite Element Methods.
However it worth to investigate if their capabilities can go beyond that (Salome-Meca for example have a lot of extensions that can be add to it to improve it).