Off Topic and no particular point. Not meant to be an answer to your problem. Not even an observation of value. just something I dragged out of the old memory bank.
When i went into my HS geometry class in sophomore year, our teacher told us all to draw a straight line for him useing any method available to us. Each and every classmate made the best straight line possible within their abilities and equipment at hand. After a few minutes, Mr. Jones (not his real name. However, if anybody here went to Staples high in Westport, CT in the mid 40's, they have backup to my statement and know exactly who I am talking about, he went thru this with every math class he taught) took a strole around the classroom. When his strole had completed, he stood at his desk and told us all that nobody had drawn a straight line. "There is no such thing as a straight line. We can only make a representation of a straight line" And then he would go into a short lecture about just why it was not possible, but that we would spend a full semester trying to prove him wrong.
And then there was my shop teacher who had learned his trades in actual aprenticeships of sorts. A little less pollished in speech and manner than any of his peers on the teaching staff. One of his sayings, that he drummed into those of us who showed any signs of sincerity towards learning actual skills, "There' no such a thing as gud enuf. It's gotta be purfec' "
I don't know if i have even come close to expectations from either of those good men, but somewhere along the way, i might have tried.
Tinker