Functionally, 0x, 1x, 2x, 3x or 4x have a LOT more to do with the forces that a wheel will handle and spoke length.
0x (radial) spoke pattern gives best vertical (here defined as forces applied through the rim directed at the hub) strength and stiffness, as well as reducing weight, as this is the absolutely shortest spoke length.
BUT this has a major failure point which is horizontal (defined here as forces applied perpendicular to the plane of the wheel - forces pushing along the hub's axle) force resistance. Radial patterned wheels have no (very little) ability to accept side loads. This is why you will almost never see a radial rear wheel - it can not handle the side loads placed on the wheel by the driving forces.
As the number of crosses increases 1x 2x etc the ability for the wheel to accept horizontal load increases. However, as the number of crosses increase the spoke length increases too. Longer spokes = more weight, and more flex.
Also, as the number of crosses increases the ability of the wheel to accept vertical forces decreases, the spokes are flexing, and the spokes are no longer transferring these forces directly through the hub to the axle but are applying these forces tangentially to the hub.
The general rule, with standard spokes, newer spoke attachment mechanisms and one piece wheel design changes this.
Rear wheels, 3x or 4x. 4x makes a 'softer' wheel which is better for touring, 3x for stiffer wheel you *can* get away with 2x on the non drive side, but you will often find that the wheel will need more maintenance (trueing). Also, if you are a heavier rider, or are going to load the wheel/bike, such as touring with panniers, don't do 2x on the rear.
For the front wheel, you can reduce the crossing pattern all the way down to radial, but, by doing so you are going to decrease the ability of the wheel to handle side loads - so if you are touring, front panniers, are a heavier rider or are going to apply other loads 2x is safer. For Off-road use 2x would, to me, be a minimum because it is too easy to apply unexpected side loads.
Personally - I usually build wheels for my own use as 3x or 4x.
Wheels don't usually (ever?), have more then 4x there are a few reasons. spoke length starts to increase, the angle that the spoke has to leave the hub starts to cross over the spoke head (hub anchor point) of other spokes, and the wheel become too 'soft'.