🚀 go-pugleaf

Version 0.13 is now ready which fixes a small bug in the cursor 
model.  There are now 129 potential Mandelmaniacs who do know
where to get their lastest fix (at my ftp site or by email). 

A new experimental version is included which tests for a pixel's 
presence in a component of period 1, 2, 3 or 4.  HILLZOOM (the 19 
digit version which can save pictures) tests for periods 1, 2, and 
3.  DEEPZOOM (the 72 digit version which can save pictures) tests 
for periods 1, 2.  The new executable is called FOURZOOM, which 
uses long doubles (19 digit math).  Unfortunately, it can't save 
gif or pcx files.  (You must resort to your favorite TSR - there's 
a contradiction of terms - to save these pictures.)  FOURZOOM is 
slower due to these tests for each point.  But if a period 4 
component is in the view, it can speed up the process and greatly 
increase the precision of the component edge plotting.

I am afraid I'm getting irritated with some of the software being 
published.  The 256 Color GIF Function Library from the book 
"Practical Ray Tracing in C" written in Borland/Turbo C 2.0 by 
Craig A. Lindley which I use to dump the pictures to disk seems 
to be unreliable.  Well actually, it is the best I could get my 
hands on but was really not what I wanted.   Lindley wrote the 
pactage for VESA graphics which not all of you have.  I have 
adapted it to the SVGA SVGA256.BGI from SVGABG40.ZIP, by Jordan 
Hargrave package.  This combination produces GIF files which are 
defective but do seem to get displayed with PC displayers and one 
on a SUN.  When I compile the program with Borland C++, I must 
compile with BUILD ALL option and SMALL memory model.  I can see 
no reason for this, but other more sensable combinations, while 
they seem to work, produce unreadable GIF and PCX files.  The 
upshot is I am now at my limit with these toy programs.  I may 
make one more version which will save the GIF and exit upon 
completion of the picture.  This will be nice for mpeg sequence 
production.

Several folk have expressed interest in this project.  If the 
interest is still there, I may post the source to DEEPZOOM in 
segments (with discussion of technique).  With the absolute waste 
of bandwidth on this group (e: My Name Is..., and Re: Mutating 
.sigs was: Re: Kabbalistic interpretation of Fractals) I will 
likely ignore flames about source code.

It is more fun to explore the Mandelbrot Set anyway.  For example.
The area of the period three components is approximately
0.05654241812768138193556875600995787053199601446372787042004052869
give or take a little.

Warmly,
Jay "Not tonight honey, I'm getting the area of... er ah hmmmmm" Hill

Happy New Year
-- 
{ 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);}