There is no mention when discussing a falling wedge pattern of...

There is no mention when discussing a falling wedge pattern of an absolute number of "waves" that it must contain, nor is there such a count applied to a rising wedge.

If you are getting confused with the Elliott discussion on diagonals then that probably explains your statement - don't let the various diagonals (ending, expanding etc), which are motive waves and their variations in a corrective wave such as the leading expanding diagonal get you confused. As a matter of fact Elliott even discusses a pattern with nine (9) waves contained in it.

Wedges show and exhibit a different approach to pattern analysis than the Elliott approach - it is disingenuous to suggest all patterns must have a preconceived number of points without mentioning first that is an approach by one author and chartist, an approach which like a lot of others is very subjective and suffers from a reasonable failure rate.

@Ekult plotted a valid wedge it looks like. I just use my eyes.