tag:blogger.com,1999:blog-24227577.post6046492404772502263..comments2023-11-13T01:03:49.610-05:00Comments on The Science Pundit: Fractal funThe Science Pundithttp://www.blogger.com/profile/14497373296651049624noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-24227577.post-89976616459789098502008-10-22T09:29:00.000-04:002008-10-22T09:29:00.000-04:00Actually, Julia sets resemble the section of the M...Actually, Julia sets resemble the section of the Mandelbrot set they are taken from no matter where you look. The key is to find the proper scale.<BR/><BR/>Here are a pair of Mandelbrot/Julia set images that look nearly identical. The Julia set image is a zoom into the center, to find the part that most closely resembles the point on the Mandelbrot set it's taken from. <BR/><BR/>First, the Mandelbrot plot:<BR/><BR/>http://www.pbase.com/duncanc/image/104897633/original<BR/><BR/>And the related Julia set plot:<BR/><BR/>http://www.pbase.com/image/104897673/original<BR/><BR/>(How do you post inline images on this blog, or post links?)<BR/><BR/>I created a small gallery of images where I explore Mandelbrot and Julia set images, and how they resemble each other at different scales. You can find that gallery here:<BR/><BR/><A HREF="http://www.pbase.com/duncanc/mandelbrotjulia_morphology_study" REL="nofollow">Mandelbrot/Julia morphology study</A><BR/><BR/>Regards,<BR/><BR/>Duncan CDuncan Chttps://www.blogger.com/profile/05768722808613598260noreply@blogger.com