Hofstadter walks into the euclidean geometry seminar for a new session:
"In today's session we will study the nature of the monkeygon. The monkeygon is a special polygon holding the property that it looks like a monkey. We will study many properties and functions related to the monkeygon, such asAfter an hour's study of the monkeygon, Hofstadter pulls out the rabbit from the hat, and everything starts to make sense.
with those basic concepts properly established, we will then be able to move on to more advanced topics, such as the monkeyplex or monkeyhedra".
- the mini-monkeygon: the monkeygon with the smallest number of line segments
- c(X), the maximum number of non-overlapping circles that can fit inside a monkeygon X
- the perfect-monkeygon: the monkeygon X with smallest c(X) among all possible monkeygons
Can you guess what this session is all about?