An archived instance of discourse for discussion in a Fractal Introductory Colloquium.

Period $n$ Julia set?

mark

Can someone please plot an image of a period $n$ Julia set for some interesting values of $n$ - like $n=7$ or so?

kadams

This is an image from the Julia set where $n=12$ I believe.

mark

@kadams Very cool looking! Do you know the $c$ value that generated this??

Vanderbilt

I thought that this looked pretty cool. It appears to have a period of 7?

cbozarth


I think this is n=23, but it's kind of hard to tell.

mark

@cbozarth That is definitely very cool. I think it's period 26, actually. Here's a little computer code to check: https://sagecell.sagemath.org/?q=eppdii

lgibbs

Period 12

Chief_Keith


Period 10?

cjohns11


This is the 5/12 bulb and its coordinates are -0.5575417130648017, - 0.4737141213579501i