Moufang polygon

Imagine that you have several sticks of different lengths and you want to connect them all together to make a shape. If you connect them in a straight line, that's easy - you just put one stick next to the other. But what if you want to make a shape that's more complicated than a straight line, like a triangle or a square?

A Moufang polygon is a type of shape that you can make using sticks that are all the same length. To make a Moufang polygon, you start by putting one stick in the middle and then connecting all the other sticks to it. Each stick is connected to the one that came before it, and the one that comes after it, in a particular way.

Here's how it works: imagine that you have some sticks that you've arranged in a circle around the middle stick. You start by connecting the first stick to the middle one. Then, instead of connecting the second stick to the first one, you skip over to the third stick and connect it there. From there, you skip over to the fifth stick, then the seventh stick, and so on, until you've connected all the sticks in the circle.

Once you've done that, you move to the next circle of sticks and do the same thing. You keep going around the circles like this until you've connected all the sticks to the middle one, and you end up with a complicated shape that looks a bit like a spider web.

There are different ways to connect the sticks together to make a Moufang polygon, but they all have the same basic idea: the sticks are connected in a particular pattern that repeats over and over again. These shapes can be very beautiful and interesting to look at, and mathematicians have been studying them for a long time.