Crochet patterns = math

It occurs to me that crocheting and physics have a great deal in common. In the notation of standardized-test-style analogies,
(crochet patterns):(equations)::(crocheted project):(physics)
Crochet patterns are to equations as the crocheted project is to physics.
 
Specifically, patterns are a shorthand for the instructions to produce the finished work, just as mathematical equations are a shorthand describing how the universe works physically. When you first begin crocheting something more complicated than long chains or perhaps potholders, you follow directions given--and it sometimes takes quite some time to figure out what "fpdc ch 2 bpdc" means; likewise for physics--when you first learn, you follow through the mathematical patterns which others before you have written. Some people continue to follow patterns throughout their entire crafting lives, and this is absolutely acceptable. In physics, some people use equations developed by others in different physical applications or contexts (crocheting with another yarn color, as it were), and this is also completely acceptable. There are some crocheters (physicists) who create their own patterns (equations), and this is more prestigious, although more rare. In both crochet and physics, self-created patterns can look a little weird at times (resulting in malformed garments or peculiar excursions of mathematical philosophy), but the repertoire of crocheters (physicists) as a whole won't expand without such experimentation-laden endeavors.
 
Being able to picture the tangible result of a pattern or set of equations is an extremely useful skill in both crocheting and physics. If one is reading a crochet pattern, say for a sweater, and can see right off that it's going to result in a vast, pumpkin-shaped garment, one can choose to move on to a project that is better suited to one's aesthetics. Being able to see the physical results of an equation will analogously save a great deal of time and frustration from using the incorrect mathematical treatment for a particular physical situation. For this reason, crochet patterns often come with photographs of the finished product, and physics statements are presented graphically as often as possible, at least in good publications at the introductory level.
 
I think this close correspondence between (reading crochet patterns and picturing the finished project) and (reading equations and picturing the physical consequences) indicates that strengthening one's skills in one field will strengthen the analogous skills in the other. Does this mean I can read crochet magazines and consider it studying?