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From: T'vakah
Subject: Vectors...
Date: 22 Jul 1999 21:33:56
Message: <3797c684@news.povray.org>
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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From: Ken
Subject: Re: Vectors...
Date: 22 Jul 1999 22:44:46
Message: <3797D694.BA87CFAD@pacbell.net>
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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From: Ron Parker
Subject: Re: Vectors...
Date: 23 Jul 1999 10:04:34
Message: <37987672@news.povray.org>
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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From: Arthur Flint
Subject: Re: Vectors...
Date: 23 Jul 1999 14:25:17
Message: <3798B488.C12ECC8B@gci.net>
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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From: Ken
Subject: Re: Vectors...
Date: 24 Jul 1999 07:52:14
Message: <3799A866.1DF8D662@pacbell.net>
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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From: Ron Parker
Subject: Re: Vectors...
Date: 24 Jul 1999 15:20:43
Message: <379a1063.99107552@news.povray.org>
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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From: Ken
Subject: Re: Vectors...
Date: 24 Jul 1999 15:31:59
Message: <379A1427.C3C0B5D@pacbell.net>
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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From: Margus Ramst
Subject: Re: Vectors...
Date: 24 Jul 1999 20:02:50
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 :)

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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From: T'vakah
Subject: Thanks...
Date: 24 Jul 1999 22:40:43
Message: <379a792b@news.povray.org>
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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From: Mark Wagner
Subject: Re: Vectors...
Date: 25 Jul 1999 01:03:17
Message: <379a9a95@news.povray.org>
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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