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From: Tor Olav Kristensen
Subject: Twisted Lathe (35 KB)
Date: 3 Jun 2000 23:34:32
Message: <3939960B.D322FE9B@hotmail.com>
Here is the result of my recent experimenting
with lathe macros (cubic_spline).

One macro generates the basic 2D lathe co-ordinates
(as in my postings to this news group 23. May 
and 25. May).

And then some other macros I made recalculates
these co-ordinates for further "twists" and does
all the necessary cuts, "tilts" and translations.

I believe that the re-calculated lathe co-ordinates 
can also be used and for prism shapes connected
to such lathe shapes. (I have not done this yet.)


Any comments or suggestions ?


Tor Olav
--
mailto:tor### [at] hotmailcom
http://www.crosswinds.net/~tok/tokrays.html


Btw: This twisted lathe has a "minor radius" 
defined by this function:

2/3*cos(4*Phi) - 1/3*sin(6*Phi - pi/2)


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Attachments:
Download 'lathemacro05_08.jpg' (35 KB)

Preview of image 'lathemacro05_08.jpg'
lathemacro05_08.jpg


 

From: Bob Hughes
Subject: Re: Twisted Lathe (35 KB)
Date: 4 Jun 2000 01:01:08
Message: <3939aa54$1@news.povray.org>
Remarkable object.  Is it made up of tens, hundreds, or thousands of
individual pieces?


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From: Tor Olav Kristensen
Subject: Re: Twisted Lathe (35 KB)
Date: 4 Jun 2000 01:18:13
Message: <3939AE63.538A520A@hotmail.com>
Bob Hughes wrote:
> 
> Remarkable object.  Is it made up of tens, hundreds, or thousands of
> individual pieces?

It's made of 10 individual lathe pieces.

:)


Tor Olav
--
mailto:tor### [at] hotmailcom
http://www.crosswinds.net/~tok/tokrays.html


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From: Bob Hughes
Subject: Re: Twisted Lathe (35 KB)
Date: 4 Jun 2000 01:27:22
Message: <3939b07a@news.povray.org>
Ah, okay, thanks.  I was going to guess that and then figured the spline might
be consuming more.

Bob

"Tor Olav Kristensen" <tor### [at] hotmailcom> wrote in message
news:3939AE63.538A520A@hotmail.com...
|
| > Is it made up of tens, hundreds, or thousands of individual pieces?
|
| It's made of 10 individual lathe pieces.
|
| :)


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From: ryan constantine
Subject: Re: Twisted Lathe (35 KB)
Date: 4 Jun 2000 01:36:10
Message: <3939B367.8323DA92@yahoo.com>
very cool.  could be used for curved hand rails, snakes going over
terain, or something like that.  is it random? or do you have control?

Tor Olav Kristensen wrote:
> 
> Here is the result of my recent experimenting
> with lathe macros (cubic_spline).
> 
> One macro generates the basic 2D lathe co-ordinates
> (as in my postings to this news group 23. May
> and 25. May).
> 
> And then some other macros I made recalculates
> these co-ordinates for further "twists" and does
> all the necessary cuts, "tilts" and translations.
> 
> I believe that the re-calculated lathe co-ordinates
> can also be used and for prism shapes connected
> to such lathe shapes. (I have not done this yet.)
> 
> Any comments or suggestions ?
> 
> Tor Olav
> --
> mailto:tor### [at] hotmailcom
> http://www.crosswinds.net/~tok/tokrays.html
> 
> Btw: This twisted lathe has a "minor radius"
> defined by this function:
> 
> 2/3*cos(4*Phi) - 1/3*sin(6*Phi - pi/2)
> 
>   ------------------------------------------------------------------------
>  [Image]


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From: Tor Olav Kristensen
Subject: Re: Twisted Lathe (35 KB)
Date: 4 Jun 2000 01:51:43
Message: <3939B63E.A6C4A70D@hotmail.com>
ryan constantine wrote:
> 
> very cool.  

Thank you.


> could be used for curved hand rails, snakes going over
> terain, or something like that.  is it random? or do you have control?

No it's not random. 

These are real lathe objects (in plain POV-Ray 
v3.1) where each is made up by many 2D control 
points (macros re-calculates these points for 
each lathe segment.)

Other macros cuts the lathe objects into segments 
and puts them into their positions.

I have control, but at the moment I have not 
finished the "front end" macro so it's a little 
bit cumbersome to gain exact control over the 
overall shape.


--
mailto:tor### [at] hotmailcom
http://www.crosswinds.net/~tok/tokrays.html


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From: Simen Kvaal
Subject: Re: Twisted Lathe (35 KB)
Date: 4 Jun 2000 09:33:45
Message: <393a2279$1@news.povray.org>
Yess! I'd like to see the finished macro for this. It's almost like a new
primitive!

Simen.

>Here is the result of my recent experimenting
>with lathe macros (cubic_spline).


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From: Christoph Hormann
Subject: Re: Twisted Lathe (35 KB)
Date: 4 Jun 2000 19:08:14
Message: <393AA91E.E8D6E5C7@gmx.de>
This would be really nice for roads, rails, etc. following a terrain
surface in height and slope (for example using megapov's hf_height_at
feature).  

I am waiting for a public version :)

Christoph

--
Christoph Hormann <chr### [at] gmxde>
Homepage: http://www.schunter.etc.tu-bs.de/~chris/


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From: Tor Olav Kristensen
Subject: Re: Twisted Lathe (35 KB)
Date: 5 Jun 2000 23:03:04
Message: <393C313A.9D97C790@online.no>
Bob Hughes wrote:

> Ah, okay, thanks.  I was going to guess that and then figured the spline might
> be consuming more.

Yes. I had a feeling that you had already guessed the answer,
and that you just wanted to be sure.

Tor Olav
--
mailto:tor### [at] hotmailcom
http://www.crosswinds.net/~tok/tokrays.html


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From: Tor Olav Kristensen
Subject: Re: Twisted Lathe (35 KB)
Date: 5 Jun 2000 23:15:34
Message: <393C342C.C3C042B1@online.no>
Simen Kvaal wrote:

> Yess! I'd like to see the finished macro for this. It's almost like a new
> primitive!

I have thought about doing this with torii for a long time.
But when I discovered how I could make a macro pass
an array of 2D points to a lathe, then I just had to try
it with lathes.

And when I saw that it worked, I said the same as you:
Yess!

It will take some time to finish the macro, so I'll post the
source code for the image as it is now.

And when I think that the macro set is finished, I'll post
again.


Tor Olav
--
mailto:tor### [at] hotmailcom
http://www.crosswinds.net/~tok/tokrays.html


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