UK and North membrane sails have fibers running continuous from corner to corner. Both rely on cross-cut mylar in some form or another. North lays single mylar on the plug, then strings, and the other layer of mylar. A vacuum is created and then the sail is cured. This process has limited pressure but a more controlled shape control. The UK Tape Drive sails use off the shelf laminate cloth constructed into a cross-cut sail then tapes are applied in the "load" path.
Dimension Polyant's D4 technology constructs large single sheet sails that are flat at first then cut and assembled into cross-cut sails. Seams are hidden under batten pockets.
Other construction techniques that are starting to take off are membrane sails constructed panel by panel then assembled.
The sail design is generated by either a program developed for these machines where from start to finish the design is controled inside a single application or an older program generates the cross-cut design then imported into the "load path" application.
These newer membranes are produced on lamination machines that apply more pressure and heat than the North 3DL system. The adhesives used are stronger than the fabric with no failures at seams.
Flex and Maxx are cross-cut laminate fabrics. Flex is symmetrical, Maxx is asymmetrical. I have built lots of Flex sails and only one Maxx. I prefer Flex. It's better.