If I may refer to a well-known principle espoused by author Douglas Adams, we have to consider an exception to this; the now-in-short-supply common roll of toilet paper.

Despite being "scored" with a line of perforations, toilet paper invariably tears at another location. Clearly the perforations have made that area stronger.

IIRC, in Douglas's book, they used this discovery to create a new material which was so perforated it almost no longer existed. The tensile strength increased to an astonishing level, and with virtually all of the material recovered from the perforating process, it could be used to make more material nearly in perpetuity. It was named "Nothing".

Sounds like a heck of a way to make an Airweight!