I just downloaded 3.1g and after reading the update list and am completely
clueless as to what a 4D and, especially, 5D vector are.  Is this somehow an
aproximation of what a 4 or 5 dimension obejct would look like from 3D
space?

T'vakah

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T'vakah wrote:
> 
> I just downloaded 3.1g and after reading the update list and am completely
> clueless as to what a 4D and, especially, 5D vector are.  Is this somehow an
> aproximation of what a 4 or 5 dimension obejct would look like from 3D
> space?
> 
> T'vakah

Only certain functions will accept 5D vectors

A 5D vector = <a,b,c,d,e>
e.g. pigment { rgbft <1,1,1,1,1> }

a float value is a single value such as - rotate x

Vectors are enclosed in < >
a float is a single expression or number

-- 
Ken Tyler
  
mailto://tylereng@pacbell.net
http://home.pacbell.net/tylereng/links.htm

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On Thu, 22 Jul 1999 19:42:28 -0700, Ken wrote:
>a float value is a single value such as - rotate x

Shame on you, Ken.  x is a vector.  It's just shorthand for <1,0,0>.

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T'vakah wrote:
> 
> I just downloaded 3.1g and after reading the update list and am completely
> clueless as to what a 4D and, especially, 5D vector are.  Is this somehow an
> aproximation of what a 4 or 5 dimension obejct would look like from 3D
> space?
> 
> T'vakah
My two cents worth:
A vector is a string of numbers / referances in an ordered group: such
as x,y on a graph.
In 3D space you need three references to an exact location: x,y,z
You could also use a three dimensional vector to hold color information
r,g,b
You could store the values of the amounts of three metals to make
different alloys
4D. Have extra information to store? Transparency? Use a 4D vector
<r,b,g,t>
It could be used to hold a location and a ? <x,y,z,?> Whatever  ? is.

In POVRay, 3D space has been used in color <r,g,b> and location <x,y,z>,
4D space has been used with color in two ways <r,b,g,t> and <r,g,b,f>
5D space has been used with color also <r,g,b,t,f>

If you used a color vector <r,g,b> as a location vector <x,y,z>, it
would still work. Maybe.
If you use a location vector <x,y,z> as a color vector, you would get
very odd colors
Taking one set of data and applying it to a different situation isn't a
good idea.

4D vectors do not apply to <x,y,z> space and one more added length
measurement in some
direction that we, as 3D space creatures, just can't see. I know, I
know, many science 
fiction stories are based on this idea. But POVRay is a 3D modeling
program. It uses them
for other things. 5D space is just the same.

Mr. Art

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Ron Parker wrote:
> 
> On Thu, 22 Jul 1999 19:42:28 -0700, Ken wrote:
> >a float value is a single value such as - rotate x
> 
> Shame on you, Ken.

I don't see any shame on me. Are you sure it's there ?

-- 
Ken Tyler
  
mailto://tylereng@pacbell.net
http://home.pacbell.net/tylereng/links.htm

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On Sat, 24 Jul 1999 04:49:58 -0700, Ken <tyl### [at] pacbellnet> wrote:

>
>
>Ron Parker wrote:
>> 
>> On Thu, 22 Jul 1999 19:42:28 -0700, Ken wrote:
>> >a float value is a single value such as - rotate x
>> 
>> Shame on you, Ken.
>
>I don't see any shame on me. Are you sure it's there ?

Hm.. Seems to be gone now.  Musta been a trick of the light.

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Ron Parker wrote:
> 
> On Sat, 24 Jul 1999 04:49:58 -0700, Ken <tyl### [at] pacbellnet> wrote:
> 
> >
> >
> >Ron Parker wrote:
> >>
> >> On Thu, 22 Jul 1999 19:42:28 -0700, Ken wrote:
> >> >a float value is a single value such as - rotate x
> >>
> >> Shame on you, Ken.
> >
> >I don't see any shame on me. Are you sure it's there ?
> 
> Hm.. Seems to be gone now.  Musta been a trick of the light.

 I'll meet my friend Ray down at the intersection and ask him to trace
this difference you are seeing. He has had plenty of time since poly's
been gone and is bound to shed some light on this for us.

-- 
Ken Tyler
  
mailto://tylereng@pacbell.net
http://home.pacbell.net/tylereng/links.htm

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Just a note: the julia fractal is a 4D object. So what you see in POV is a 2D
projection of a 3D slice of a 4D object :)

Margus

T'vakah wrote:
> 
> I just downloaded 3.1g and after reading the update list and am completely
> clueless as to what a 4D and, especially, 5D vector are.  Is this somehow an
> aproximation of what a 4 or 5 dimension obejct would look like from 3D
> space?
> 
> T'vakah

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I can't believe I overlooked colors as  4&5D vectors.  Thanks for the
clarification.

--T'vakah


A small project I am working on know:
http://www.angelfire.com/pa2/tvakah/

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Margus Ramst wrote in message <379A542A.DA38E65F@peak.edu.ee>...
>Just a note: the julia fractal is a 4D object. So what you see in POV is a
2D
>projection of a 3D slice of a 4D object :)


I've got a program that will draw a projection of a 20D cube on a 2D surface
:-)

Mark

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On Sun, 25 Jul 1999 01:03:35 -0400, "Mark Wagner"
<mar### [at] gtenet> wrote:

>
>Margus Ramst wrote in message <379A542A.DA38E65F@peak.edu.ee>...
>>Just a note: the julia fractal is a 4D object. So what you see in POV is a
>2D
>>projection of a 3D slice of a 4D object :)
>
>
>I've got a program that will draw a projection of a 20D cube on a 2D surface
>:-)
>
>Mark

I recall there was a mathematician (Conway? Gardner?) whose final year
project (what's the name?) was titled "Optimal Packing of Equisized
Spheres In Up To 23 Dimensions" or similar. Gee...


Peter Popov
ICQ: 15002700

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I bet it's real useful in cramped spaces...
Does he say how I can get my spheres back from the 23rd dimension?

Margus

Peter Popov wrote:
> 
> I recall there was a mathematician (Conway? Gardner?) whose final year
> project (what's the name?) was titled "Optimal Packing of Equisized
> Spheres In Up To 23 Dimensions" or similar. Gee...
> 
> Peter Popov
> ICQ: 15002700

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Ken wrote:

>  I'll meet my friend Ray down at the intersection and ask him to trace
> this difference you are seeing. He has had plenty of time since poly's
> been gone and is bound to shed some light on this for us.

Polly?  Gone?  Oh no.  Perhaps it was the text you're always
reading out loud to her: How to Be Coordinated.  If only Ray
would scale her a few fish, I think she might come back to
her origins.
--
Bob Crispen
crispen at hiwaay dot net
What we're looking for: destinations.
What we end up getting: journeys.

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Bob Crispen wrote:
> 
> Ken wrote:
> 
> >  I'll meet my friend Ray down at the intersection and ask him to trace
> > this difference you are seeing. He has had plenty of time since poly's
> > been gone and is bound to shed some light on this for us.
> 
> Polly?  Gone?  Oh no.  Perhaps it was the text you're always
> reading out loud to her: How to Be Coordinated.  If only Ray
> would scale her a few fish, I think she might come back to
> her origins.
> --
> Bob Crispen
> crispen at hiwaay dot net
> What we're looking for: destinations.
> What we end up getting: journeys.

  It was really Ray's fault that she rotated out of his life. He was often
making specular investments in often diffuse markets and they didn't always
translate into the kind of security she needed. It was always thought he
had a brilliant career ahead of him but instead it was dull and intersected
with strife.

-- 
Ken Tyler
  
mailto://tylereng@pacbell.net
http://home.pacbell.net/tylereng/links.htm

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Please go on, it's getting interesting and I have a hard time going to
bed. I hope that by the time I get married and have a kid there'll
already be a dozen or so story collections about Ray and Poly (and
Tracy?) available on povray.org :)


Peter Popov
ICQ: 15002700

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