ELI5: Explain Like I'm 5

Apeirogon

Okay kiddo, have you ever heard of a polygon? It's a shape that has straight sides and angles, like a triangle or a square. But what if I told you there was a shape with *infinite* sides and angles? That's what an apeirogon is!

The word "apeirogon" comes from two Greek words: "apeiros" meaning "infinite" and "gon" meaning "angle." So an apeirogon is a shape with an infinite number of angles!

Now you might be asking, "But how can a shape have an infinite number of sides and angles?!" Well, an apeirogon isn't really a physical shape you can touch and hold like a square or a circle. It's more of a concept or an idea.

To understand it, let's imagine drawing a polygon. Start with a point and connect it to another point with a straight line. That gives you 2 points connected by 1 line. Now connect the second point to a third point with another line. You've added another side and another angle to the shape. Keep doing this, connecting each new point to the previous one until you have a shape with as many sides and angles as you want!

An apeirogon is like taking this infinite process to the extreme. Instead of stopping at a certain number of sides and angles, you keep going forever. Even if you drew an apeirogon on a piece of paper, you wouldn't be able to trace every angle and side since there are an infinite number of them!

So that's what an apeirogon is, a shape with an infinite number of sides and angles that exists as an idea or concept rather than a physical object. Cool, huh?
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