The Importance of Equal Dividing
Dividing things (line segments, circles, squares or rectangles) into equal parts is of course a geometric and math challenge, but more important than the academic / intellectual "hey I can solve this puzzle!" accomplishment, is the idea of fairness.
Fairness, as in equal parts, is key to the "right" way of doing things. Even very young children and some monkeys, recognize unfairness before they have words for it, that's how deeply ingrained the idea has been: fairness is in our DNA.
My early experience with fair division was splitting one dessert between my brother and I. The governing principle is this: "whoever makes the cut, the other one has first pick". So it was always an objective to make the cut as even as possible to equal parts. When the number of parts increases, so does the complexity of the solution. How, for example, would you have a piece of cake divided for three cake eaters, in a fair and equitable way?
Higher numbers only create much more complexity. For example, if there are 3 people who have to share dessert, who makes the cut(s) and who chooses? At home, you might just appeal to a higher authority: Mom divides the portions and gives them out randomly (maybe each portion is covered, and the 3 dessert eaters pick their piece without seeing the contents. No complaining afterwards, just eat your dessert.
Dividing a pie or cake into equal portions for seven friends can use math and origami methods: https://ourigami.blogspot.com/2020/12/fujimoto-approximation-of-dividing-line.html where the aim is to be as "fair" as possible.
This is one area where use of origami can help in the field of ethics and right behavior.
