On Oct 22, 2006, at 9:01 AM, TurquoiseB wrote:

--- In [email protected], "Alex Stanley"

<[EMAIL PROTECTED]> wrote:


--- In [email protected], bob_brigante <no_reply@> wrote:


Well, yeah, if you trace this thread back, you'll see that this is 

the exact same article that started the thread, Bob.


***************


http://en.wikipedia.org/wiki/Infinite_recursion


http://tinyurl.com/6ya35


I once was able to sneak a couple of funny things into

the glossary of a software manual I was writing. One

definition read:


* infinite loop. See loop, infinite. 


When you went there, that definition read:


* loop, infinite. See infinite loop.


Also:


* recursion. See recursion.


When the company found out what I'd put in their manual,

I explained to them that my definitions, though silly,

explained the terms far better than a real one would

have. They agreed, and let them stand in future revs

of the manual.


I find more interesting the use of this term, infinite recursion, in regards to the properties of fractal geometry. If you've ever experimented with "zooming into" a fractal displayed on a computer screen--in both directions actually--they are naturally, infinitely, recursive, repeating geometries. Albeit "chaotic".

This same mathematical idea is also used in certain types of filtering used in high-level imaging which uses iterative filtering is applied to 3 dimensional matrices. You also see this same style of functioning in Mr. Sid style images used in satellite imaging, it is also useful in compression technologies like DjVu amd JPEG2000. Load a Mr. Sid image into a viewer and zoom in and out on satellite imagery, you can even see the similarity to fractal geometry without understanding the underlying mathematics.
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