🚀 go-pugleaf

In article <1993Sep17.021507.13555@ast.saic.com>, 
  hilljr@jupiter.saic.com (Jay R. Hill) writes:
|> In article <1993Sep15.194315.6575@ast.saic.com>, 
  hilljr@jupiter..saic.com (Jay R. Hill) writes:
|> |>             Universal constant not universal?
|> |> 
|> |> The 'Universal' constant, whose value was first reported in 1977 by
|> |> Grossmann and Thomae and which was found by Feigenbaum to be in many 
|> |> nonlinear processes, seems to change with each new publication 
|> |> appearance!
|> |> 
|> |> It takes on at least three different values in the first 3 books
|> |> I found it in.
snippity  
|> |> I have calculated it and submit for your consideration for 1993 this
|> |> value for delta: 4.66920160910299067185...        ;-)
snip
|> |> Jay 'Not tonight honey, I'm changing the Universal Constant' Hill
snip snip
|> 'typos' - fine, but who is to know.  Do I stack up the books plus
|> the FAQ, for a vote, or use my number.  :-)  The typo is being
|> spread throughtout the literature.  
snippity snip
This ought to settle the matter.  I got an email from, Keith Briggs,  
Department of Applied Mathematics, University of Adelaide, 
South Australia 5005.  I will not put ">" on the number, so as to
not mess it up  ;-).   My value by another method, agrees, as far 
as it goes.

>Here are my best results for alpha and delta...

FEIGENBAUM CONSTANT COMPUTATION
PRECISION:   576  DIGITS
ALPHA = 10^0 x -2.
502907875095892822283902873218215786381271376727149977336192
056779235463179590206703299649746433834129595231869995854723
942182377785445179272863314993372578112163594879503744781260
997380598671239711737328927665404401030669831383460009413932
236449065788995122058431725078733774630878534242853519885875
000423582469187408204281700901714823051821621619076083920574
664971412134785280285950931707119190574695874176690878103794
380089255614244215412873569211957016868785226740329146981141
161605320001634784602732486953773421816927064145207097684764
256775738249516829495338130415

DELTA = 10^0 x 4.
669201609102990671853203820466201617258185577475768632745651
343004134330211314737138689744023948013817165984855189815134
408627142027932522312442988890890859944935463236713411532481
714219947455644365823793202009561058330575458617652222070385
410646749494284981453391726200568755665952339875603825637225
648004095107128389061184470277585428541980110764144578149381
489502381654189155467133513540821854137783293541008389553620
859821088181697612615819491276117142446618360537363708223597
510073779542073783925183191887372568776876971085612974740650
801984931369407121885424206435

>Keith

-- Jay 'Not tonight honey, just two more digits, just two more' 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);}