Of course, making a circle into a square isn't only found in knitting -- what about crochet granny squares -- not quite as magical as knitting in the round but it is still a very clever technique where carefully placed increases transform the circle. It's another technique that we learn and take for granted without realising how clever it is.
What this also shows is that sometimes we knit/crochet for the result, not for the process and don't notice what we are doing. I'm on a deadline to finish the blanket ready for Wonderwool so I was definitely knitting for the result. Taking more notice of the process is much more rewarding and you learn so much more. I see a course based on mindfulness in knitting forming!