From: danielg@autodesk.com (Daniel Green)
Newsgroups: alt.3d
Subject: Re: Stereo Mandelbrot(s)
Date: 18 Aug 92 18:51:11 GMT
Reply-To: danielg@autodesk.com
Organization: Autodesk, Inc.

In article 714122157@lillee, weberk@lillee.cs.curtin.edu.au (Keven Weber) writes:
> 
> [...]
> FOZEPDKDNQLHFEJDFOZEPDKDNQLHFEJDFOZEPDKDNQLHFEJDFOZEPDKDNQLHFEJDFOZEPDKDNQLHFEJD
> ZKSCCFYKDXNLORWVZKSCCFYKDXNLORWVZKSCCFYKDXNLORWVZKSCCFYKDXNLORWVZKSCCFYKDXNLORWV
> FWAVBMYQCLXJRGNTFWAVBMYQCLXJRGNTFWAVBMYQCLXJRGNTFWAVBMYQCLJRQGNTFWAVBMYQCLJRQGNT
> HVUOWGRTUFHNBDTZHVUOWGRTUFHNBDTZHVUOWGRTUFHNBDTZHVUOWGRTUHNBDFTZHVUOWGRTUHNBDFTZ
> QATQRYEQHXXUQPDMQATQRYEQHXXUQPDMQATQRYEQHXXUQPDMQATQRYEQHXUQMPDMQATQRYEQHXUQMPDM
> SKSJDOONCSSVRZNSSKSJDOONCSSVRZNSSKSJDOONCSSVRZNSSSJDOONCSSVRZNSSSJDOOSNCSSVRZNSS
> FLSJBAHAWXSALESVFLSJBAHAWXSALESVFLSJBAHAWXSALESFLSJBAHAWXSALESFLSJBAHWAWXSALESFL
> DBLSQPKIMDJZXDEIDBLSQPKIMDJZXDEIDBLSQPKIMDJZXDIDBLSQPKIMDJZXDIDBLSQPKIMWDJZXDIDB
> QMWXOUWGUKKMFJQIQMWXOUWGUKKMFJQIQMWOUWGUKKWMFQIQMWOUWGUKKWMFQIQMWOUWGUKKKWMFQIQM
> YNWIZZTYXXEHTUVRYNWIZZTYXXEHTUVRYWIZZTYXXEHTTVRYWIZZTYXXEHTTVRYWIZZTYXKXEHTTVRYW
> LQSGADUHOMSMYSZWLQSGADUHOSMYSZWLQSGADUHOSMYSZWLQSGADUHOSMYSZWLQSGADUBHOSMYSZWLQS
> YWWYVTEEOZAFUMTMYWWYVTEEOZAFUMTMYWYVTEEOZAFUETMYWYVTEEOZAFUETMYWYVTEEOBZAFUETMYW
> OJVWXKQLIIMHLMFIOJVWXKQLIIMHLMFIOJVXKQLIIMKHLFIOJVXKQLIIMKHLFIOJVXKQLIIAMKHLFIOJ
> BPGSQIZKUSZZTNIRBPGSQIZKUSZZTNIRBPGSQIZKUSZZTNRBPGSQIZKUSZZTNRBPGSQIZKULSZZTNRBP
> IBBTLKGSVUZDFBHWIBBTLKGSVUZDFBHWIBBTLKGSVUZDFBHIBBTLKGSVUZDFBHIBBTLKGISVUZDFBHIB
> BOQAALTZKMNSDYCGBOQAALTZKMNSDYCGBOQAALTZKMNSDYCGBQAALTZKMNSDYCGBQAALTAZKMNSDYCGB
> WUKEOHYONFPWDXXRWUKEOHYONFPWDXXRWUKEOHYONFPWDXXRWUKOHYONFPWDXXRWUKQOHYONFPWDXXRW
> XUBQTNFGHKHKRHINXUBQTNFGHKHKRHINXUBQTNFGHKHKRHINXUBQTNFGHHKRHTINXUBQTNFGHHKRHTIN
> OBCORPWHLZGITYINOBCORPWHLZGITYINOBCORPWHLZGITYINOBCORPWHLZITYBINOBCORPWHLZITYBIN
> YIOFRYQYKJHSWCIZYIOFRYQYKJHSWCIZYIOFRYQYKJHSWCIZYIOFRYQYKJHSWCIZYIOFRYQYKJHSWCIZ
> 
> 
> But I can sometimes see more than one Mandelbrot set (one inside the other).
> Depending on how I focus I can lock onto different images, each with an
> additional Mandelbrot set within it (the additional M. set floats above
> the background but below the surrounding M. sets creating a stepping effect).
> I can see at most 3 M. sets (one inside the other) floating at 3 different
> heights above the background.
> 
> Does anyone else see this?
> 
> What's going on?


At first I thought "what sort of bullshit is this?" but there really is
something to it.  Viewed cross-eyed one can see the Mandelbrot set pressed
into the background (the expected effect) but if you cross your eyes further
so that two units of overlapping occure, you can distinctly see three levels
depth.  The smallest inner one looks something like a mandlebrot set but
the next level is only two copies of the original mandlebrot set offset and
overlapping by one unit.

Cross-eyed viewing is easiest to use here because the extream shift distance
is easier to accomplish that way.  For wall-eyed viewing you will need to back
up about six to eight feet to make that possible.  The smallest inner figure then
floats above the others.

Actually, the smallest set is really just the original one with a one-unit
vertical slice removed from it's center.  I'm sure this two-step effect is an
artifact of the particular dataset, but it is certainly wierd.  It opens up
the possibility of new effects that could exploit multi-unit overlapping.  Neet!


---
Daniel Green
danielg@autodesk.com
      ___________          ___________
      |         |          |         |
      |  _________         | _________
      |  |       |         | |       |
      |  |  _______        | | _______
      |  |  |     |        | | |     |
      ---|  |  _____       --| | _____
	 ---|  | D |         --| | D |
	    ---|  G|           --|  G|
	       -----             -----