Reock degree of compactness

Okay, let's see. Imagine you have a puzzle with lots of pieces. When you put all the pieces together, you make a picture. But sometimes the pieces don't fit together very well, and the picture doesn't look nice and smooth. It might have gaps or weird bumps.

Now, imagine you have a different kind of puzzle. This puzzle only has a few pieces that all fit together perfectly. When you put them together, the picture looks really nice and smooth. That's because this puzzle is more "compact" than the first puzzle.

In the same way, when we talk about the "compactness" of things in math, we're really just talking about how nicely all the pieces fit together. And the Reock degree of compactness is a way to measure how compact a certain shape is.

It works like this. You take a shape, like a city or a state, and you put a circle around it. The Reock degree of compactness is how well that shape fits inside the circle. If the shape fits really nicely with no big gaps or bumps, then it has a high Reock degree of compactness. But if there are lots of gaps and bumps, then the Reock degree of compactness will be lower.

So, basically, the Reock degree of compactness is just a way to measure how nicely a shape fits inside a circle. And if a shape has a high Reock degree of compactness, that means it's more like a perfect puzzle with only a few well-fitting pieces, rather than a messy puzzle with lots of misfitting pieces.