Generally speaking you can only map mesh very simple geometric shapes. In 2D that means only 3 or 4 sided regions (although some meshers also allow 5 sided regions). In 3D you can only really expect to map mesh pentahedrals and hexahedrals (wedges and bricks). Any other shaped objects will need to be manually split into probably very many simple regions before you can map mesh them, hence the pre-dominance of tet-meshers as most users receive very complex geometry from CAD. (many years ago before tet meshers were available I spent a whole year breaking down a very complex solid into map meshable regions, the same part can now be tet meshed within 5 minutes or less from an initial CAD import!!)