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>
<http://directory.google.com/Top/Science/Math/Recreations/Specific_Numbers/p
> hi/>
Argh! Does anyone know of a way to keep Outlook Express from wrapping URLs?
:-)
Anders
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Peter Popov wrote:
> Take a segment AB and a point C on AB. There is only one case in which
> the ratio AC:BC equals BC:AB and this ratio is the golden ratio. If AB
> is of unit length, then AC = 0.5*(sqrt(5)-1) and BC = 0.5*)sqrt(5)+1).
A B A C B
._____________. .______x______. <- AC==AB, which leads to AB&&BC==0.5
if AB==1. So make that 2 cases ;)
--
Tim Cook
http://empyrean.scifi-fantasy.com
-----BEGIN GEEK CODE BLOCK-----
Version: 3.12
GFA dpu- s: a?-- C++(++++) U P? L E--- W++(+++)>$
N++ o? K- w(+) O? M-(--) V? PS+(+++) PE(--) Y(--)
PGP-(--) t* 5++>+++++ X+ R* tv+ b++(+++) DI
D++(---) G(++) e*>++ h+ !r--- !y--
------END GEEK CODE BLOCK------
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"Thorsten Froehlich" <tho### [at] trf de> wrote in message
news:3c0652f1@news.povray.org...
>And
> there are still many who run Windows 95/98/ME, which don't have any kind
of
> file/directory privileges.
Thank goodness 3.5 does :)
...Chambers
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On Thu, 29 Nov 2001 22:49:25 -0500, "Timothy R. Cook"
<tim### [at] scifi-fantasycom> wrote:
>So make that 2 cases ;)
The Greek thought that a rectangle whose sides are in the golden ratio
is most pleasing to the eye. Now, whether you make them 1:1.618 or
0.618:1 is irrelevant, as this is the same ratio. So there - there
really is *one* ratio.
Peter Popov ICQ : 15002700
Personal e-mail : pet### [at] vipbg
TAG e-mail : pet### [at] tagpovrayorg
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Since t is a *ratio*, it doesn't matter whether you use t or 1/t,
they'll give the sme results. Interestingly for t = (1+sqrt(5))/2,
(t-1) = (1/t)
Peter Popov wrote:
>
> On Thu, 29 Nov 2001 22:49:25 -0500, "Timothy R. Cook"
> <tim### [at] scifi-fantasycom> wrote:
>
> >So make that 2 cases ;)
>
> The Greek thought that a rectangle whose sides are in the golden ratio
> is most pleasing to the eye. Now, whether you make them 1:1.618 or
> 0.618:1 is irrelevant, as this is the same ratio. So there - there
> really is *one* ratio.
>
> Peter Popov ICQ : 15002700
> Personal e-mail : pet### [at] vipbg
> TAG e-mail : pet### [at] tagpovrayorg
--
signature{
"Grey Knight"
contact{ email "gre### [at] yahoocom" }
site_of_week{ url "http://mathworld.wolfram.com" }
}
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Peter Popov wrote:
> The Greek thought that a rectangle whose sides are in the golden ratio
> is most pleasing to the eye. Now, whether you make them 1:1.618 or
> 0.618:1 is irrelevant, as this is the same ratio. So there - there
> really is *one* ratio.
As I said, I wasn't paying attention to what I was writing; thought
it said AB:BC = BC:AB.
--
Tim Cook
http://empyrean.scifi-fantasy.com
-----BEGIN GEEK CODE BLOCK-----
Version: 3.12
GFA dpu- s: a?-- C++(++++) U P? L E--- W++(+++)>$
N++ o? K- w(+) O? M-(--) V? PS+(+++) PE(--) Y(--)
PGP-(--) t* 5++>+++++ X+ R* tv+ b++(+++) DI
D++(---) G(++) e*>++ h+ !r--- !y--
------END GEEK CODE BLOCK------
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On Fri, 30 Nov 2001 11:27:20 +0000, s1631001
<s16### [at] namtarqubacuk> wrote:
>Since t is a *ratio*, it doesn't matter whether you use t or 1/t,
>they'll give the sme results. Interestingly for t = (1+sqrt(5))/2,
>(t-1) = (1/t)
Yep. And of course this is another one of its "magic" features :)
Peter Popov ICQ : 15002700
Personal e-mail : pet### [at] vipbg
TAG e-mail : pet### [at] tagpovrayorg
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On Fri, 30 Nov 2001 07:27:41 -0500, Timothy R. Cook wrote:
> Peter Popov wrote:
>> The Greek thought that a rectangle whose sides are in the golden ratio
>> is most pleasing to the eye. Now, whether you make them 1:1.618 or
>> 0.618:1 is irrelevant, as this is the same ratio. So there - there
>> really is *one* ratio.
>
> As I said, I wasn't paying attention to what I was writing; thought
> it said AB:BC = BC:AB.
Not everybody saw what you said, unfortunately. When you said you didn't
know how to cancel, I took that as permission to just go ahead and cancel
both articles. Unfortunately, only one of those cancels seems to have
gone through.
So really, he did notice his mistake, guys. :)
--
#local R=rgb 99;#local P=R-R;#local F=pigment{gradient x}box{0,1pigment{gradient
y pigment_map{[.5F pigment_map{[.3R][.3F color_map{[.15red 99][.15P]}rotate z*45
translate x]}]#local H=pigment{gradient y color_map{[.5P][.5R]}scale 1/3}[.5F
pigment_map{[.3R][.3H][.7H][.7R]}]}}}camera{location.5-3*z}//only my opinions
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> Since t is a *ratio*, it doesn't matter whether you use t or 1/t,
> they'll give the sme results.
Of course they are the same *ratio* mathematically. But they definately
won't give the same results in a POV-Ray scene file, since t and 1/t are
different *numbers*.
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Thorsten Froehlich wrote in message <3c0652f1@news.povray.org>...
>And
>there are still many who run Windows 95/98/ME, which don't have any kind of
>file/directory privileges.
Yes they do! You can set a file to be "read-only"! ;-)
--
Mark
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