What is the name of this graphic phenomenon in which one more point is always drawn on a line/edge?

Hello, the question is in the title, but I'm attaching an image. I don't remember where I first saw this graphical thought experiment, but I recently wanted to Google it again, and none of my search suggestions led me in the right direction. Now I hope to answer my question using human intelligence.

It's about the phenomenon that occurs when you have a straight line/edge and draw a point on it. Then, you add another point to each new edge, and so on. A line first becomes a triangle, then a star, and later it looks like a snowflake, with more and more snowflakes growing alongside it. I hope someone can tell me the name of this, or where it comes from, or I can look it up. (I'm putting it in the math category because I think we discussed it in class at school.)

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gauss58
8 months ago

Search for “Koch curve”

https://de.wikipedia.org/wiki/Koch-Kurve

aperfect10
8 months ago

This is Cooking curve :

aperfect10
8 months ago
Reply to  Klavier89

There is this nice community, among other things. You’re welcome!

ohwehohach
8 months ago

I think this is about the recursive application of a rule. Here each track is provided with a zip. In the next iteration there are more, etc.

Such rules are to be applied in part in fractals (see Sierpinski triangle).

ohwehohach
8 months ago
Reply to  Klavier89

What you got is the cooking curve.

Sophonisbe
8 months ago

“Mandelbrotbaum” falls into it spontaneously. But that doesn’t eat exactly.

ohwehohach
8 months ago
Reply to  Sophonisbe

No, Mandelbrot has nothing to do with it.

LuschiMeck
8 months ago

Fraktal goes to the same direction.

https://de.wikipedia.org/wiki/Fraktal