Title: Interesting generalisation of fractals
Post by: Tglad on March 21, 2015, 12:44:02 AM
several links in this blog post: https://plus.google.com/117663015413546257905/posts/MfPGk2bVDd6 (https://plus.google.com/117663015413546257905/posts/MfPGk2bVDd6)
It is not rocket science, or a new idea that objects can have a fractal dimension that varies with scale, but these related papers might formalise the idea well... though they're missing the generalisation to position-dependent dimension in addition to scale dependent. :nerd:
It is not rocket science, or a new idea that objects can have a fractal dimension that varies with scale, but these related papers might formalise the idea well... though they're missing the generalisation to position-dependent dimension in addition to scale dependent. :nerd:
Title: Re: Interesting generalisation of fractals
Post by: Tglad on March 23, 2015, 06:24:48 AM
(https://lh3.googleusercontent.com/-XuZAtSQVl6w/VQxB6-SiLPI/AAAAAAAA4MI/bV_tfTHKXA0/w469-h344/willerton_chaning_dimension.gif)
Title: Re: Interesting generalisation of fractals
Post by: TruthSerum on May 23, 2015, 10:26:14 PM
You would need to find a pleasant transition between discrete dimensions 
, assuming a scale 
.