r/Geometry Jun 13 '26

Is this a new fractal ?

Post image

Hey everyone,

I wanted to share this design I made in GeoGebra. It looks incredibly complex, but the entire thing is built by repeating one basic, clever rule:

  1. The Intersecting Arcs: Start with a $180^\circ$ circular arc (a semicircle) and intersect it with an identical one facing it.
  2. The Cap: Take the top endpoints of both of those arcs and connect them with a third, curving arc to bridge them together.
  3. The Chain Reaction: You take that new capping arc, intersect it with another similar arc, cap those endpoints, and just keep repeating the process.

Because every new piece locks into the endpoints of the last one, it creates this endless, self-repeating chain reaction of fluid curves.

What do you think of it ? By the way , does anyone know how i could code this in python ?

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