The Windmills of Certainty

I'm working on building a little video (still!) to explain how I came up with a method that borrows a bit from recursive function theory to build a method for generating pi by iteratively building a recursive method, which morphs at first, and then eventually stabilizes to generate an n sided polygon. As each iteration goes forth, n increases, doubling the number of sides of an n- sided polygon, until the sides get so small that it "smooths" out the perception of a circle - which is interesting because after the 5 th iteration, the function "stabilizes", and smooths out, making the incremental change between values of pi get smaller, but pi itself gets more precise to the "true" value of pi itself. The problem with this method computationally is that computers start "blowing up" because the sides approach a value of 0, but cannot actually get there. But, from a computer's point of view, these sides might as well be zero. The sides ...

This is a blog that I hope does not become an orphan. The main purpose of the blog is to opine on topics that are intimately related to one another: Economics - improving well-being Artificial Intelligence and Machine Learning (AI/ML) Mental Health Other Themes and Topics: Mathematics Fun Art From time to time I plan on sharing other articles and blogs I have come across. In the meantime, bookmark it for future reference. Comments are welcome of course. I will be reviewing comments to make sure they make some sense and stay on topic. Sometimes the mind does wander -- so, if you find yourself doing this, that's ok. Just find a way back to the main theme or topic.