🚀 go-pugleaf

Some time ago BJ06%C53000.PETROBRAS.ANRJ.BR@UICVM.UIC.EDU <Fausto 
A. A. Barbuto (Totxo)> sent me a nice email with permission to quote:

Dr. Jay R. Hill played his best this time with DEEPZOOM and HILLZOOM.

When I thought the MS had already been exhaustively explored with 
the programs available around this little Earth Jay presented me 
his ZOOM tools.  I should learn to stay silent.

I explored ZOOM tools at home, in my 486 DX2-66. The MS view 
suggested in the manuals is really terrific. A nice view of an 
isolated MS surrounded by lines resembling to lightnings; inside 
the lonely MS violet/purple circular areas at both the cardioid 
and the main circle were shown.  Shadow  effects in gray, east of 
the MS, gave me a visual illusion as if it was  suspended in the 
air, croping out from the screen. And all these surrounded by 
colour levels produced with a very sophisticated technique I do 
not dare to wonder on how it was developed. Arrow keys allowed me 
to select a new region to be explored. Then I chose a journey to 
the neighbourhoods of the Seahorse Valley (executing 
HILLZOOM 256 -0.73125 0.19167 0.001 0.001 640 480).

A thrilling trip indeed. Details were shown in deep and - even 
with a low number if iterations (256) - the outcroping effect 
was still there.

Then I focused my lenses to the Elephant's Valley Region.  
(executing...  HILLZOOM 256 0.30625 0.000 0.05 0.05 640 480).  What 
could I say?  New surprising views I had never seen before.

At MS's Antenna Region (HILLZOOM 256 -1.7625 0.00 0.10 0.10 1024 768) 
one can have a complete idea on  the sophistication of  the colouring 
features.  The outcroping effect gave me the sensation of observing 
a MS detail through an eletronic microscope.

Finally, I cast a global look to the whole MS.  (HILLZOOM 256 0.0 0.0 
2.0 2.0 640 480). Nice aereal view. So I realized that ZOOM tools 
are  didactic too! I saw Periods 1 and 2 (Cardioid and Main Circle) 
coloured in  slightly different blue scales - and the Period 3 Bud 
as well. I use these period's detection to cut down CPU time when 
computing the MS Area.

As a matter of fact, HILLZOOM is faster than DEEPZOOM and FRACTINT 
is faster than either, but ZOOM tools are worth the time one spends 
to run them.  The price is right.

May I suggest... [some nice ideas followed]

  Best regards,
              Fausto. (Bj06@C53000.Petrobras.Anrj.Br)



Fausto, you are too kind.

Monday I wrote that DEEPZOOM is just about 2 months old and is 
still FREE.  ;-)  And maybe (Real Soon Now) I will add gif-ability.  
[This is now in version 0.11 of HILLZOOM.  But DEEPZOOM has a flu 
bug ;-) and produces faulty GIF files.]  Now automatic generation 
of a gif sequence which can be used for an mpeg ought to really 
jam my machine.  ...  I then asked:
  Any ideas?

fargher@unixg.ubc.ca (Robert Fargher) writes:
  Yeah, what an opportunity for another GIPPP.  [GIPPP, coined by 
Jon Noring, stands for Grand Internet Parallel Processing Project]  
Farm out the gif generation to produce the worlds greatest, deepest 
fractal zoom animation.

mcdavey@maths.tcd.ie (Matthew Davey) said it all:
  Wild.  Absolutely.

Now let's see.  70*ln(10)/ln(1.15)=1153 frames.  At 4 frames per 
second we would have about 5 minutes of non-stop Mandelmania!  Is 
320x200 a reasonable image size?  

I observed that in his novel, Clarke notes that "there are no less 
than sixty-three examples of Mandelmania now in the data banks."
There are 83 ZOOMers now and if the those 63 who have contracted
Mandelmania [mentally locked up at magnification 10^40 Mandelbrot 
Zoomer] take this on, using an average of 28 hours for each image, 
the task would be done in three weeks.  We'll have to discontinue 
our medications and for some, disconnect our implants  ;-). 

We should carefully consider strategy and tackics while choosing a
focal point.  We could revive something like the recent 'have we 
seen it all' thread or the 'best of fractint' thread to plan on 
what we would like to see in these images.  

Unfortunately DEEPZOOM is only an MSDOS product since it depends on 
an assembly language C++ class for extended precision arithmetic.
Until a work station version is written, work station folk would 
certainly be welcomed in a search for a good zoom focus.  The last
GIPPP which determined bounds for the Mandelbrot Set involved 
mostly workstations and only 2 PC class machines.  This for now 
would have to be mostly a PC project.  ;-)

<Climbing up on soap box and shouting toward the back of the crowd>
If you don't have the lastest DEEPZOOM and have not recieved my
email instructions on how to get it, just send me email.  Now it
may seem I'm being a pain here, but I know of fine programs placed
at mirror sites containing pleas for money or just fame.  Authors
hear mostly no feedback and have no idea if anyone is even looking
at the program.  I at least now have an idea how many folk have 
any interest and a number have sent me nice remarks.  Thank you 
very much.  The GIPPP idea may well have never occured without 
this novel approach.  DEEPZOOM is mainly a toy, a novelity, a 
research tool.  So, if some of us can have some fun, fine.  [There 
have been some discussions with the FRACTINT folk about putting 
these capabilities into FRACTINT.  Now that would be great.]
<Falling off soap box and limping back to my 486/33>

Warmly,
Jay "Not tonight honey, I'm with the guys planning a GIPPP" Hill
-- 
{ hilljr@jupiter.saic.com } begin writeln(3*ln(640320)/sqrt(163):17:15) end.
void main(){double sqrt(), y=1/sqrt(2.), a=.5, m=1,z; int n=0;
for(;m*=2,z=sqrt(1-y*y),y=(1-z)/(1+z),a=a*(1+y)*(1+y)-m*y,n<4;n++);
printf("%17.15lf\n",1/a);}