The iF series are true folding bikes with a hinge in the frame, but the Reach series does not fold, although they do break down for travel. My Reach is a few years old, and you can remove the front wheel and use a quick release to swing the rear triangle forward so that the whole package can fit in a suitcase. The design has changed somewhat since mine was made, so I am not sure if the newer ones work the same way.
The fold on the iF bikes is not the most compact, but it is very fast and the bike can roll on its tires while folded.
These are very nice bikes and I would recommend them.