Fractal Holiday/Solstice/Christmas Cards!

It’s that time of the year again: I’m making my fractal Holiday cards! I slacked last year and only made a few, but I’m back at it.

Christopher Olah's fractal Christmas cards from 2011

Previous years, I’d made up fractals for my cards. This year I just explored the Mandelbrot set and found cool looking regions. Since I obsessed over my choice of pictures, it took me a while to make themĀ  — I’ve made about twenty so far, and still need to make more!

It was time well spent, though, since picking the pictures gave me time to reflect on the variety one can find within the Mandelbrot set. While well aware of the mathematical elegance of the Mandelbrot Set, I’d started to forget about what one could find deep inside it… Yay, reminders!

(One thing I found really interesting is looking at “Julia sets” in the Mandelbort set. While very similar to the real Julia set they’re associated with, these disconnected Julia sets have become connected (since the Mandelbrot set is connected, they have to be). I figured that it would be binary trees based on their representation as Cantor sets, but it is clearly more intricate… Note to self: investigate this later!)

About these ads

Tags: , ,

One Response to “Fractal Holiday/Solstice/Christmas Cards!”

  1. samaraga Says:

    Very appealing!!!

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s


Follow

Get every new post delivered to your Inbox.

Join 464 other followers

%d bloggers like this: