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I just posted an animation in the animations group. Enjoy!
Thomas
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"Thomas" <tho### [at] gmx net> schrieb
> How does a trailer follow the car/truck that is pulling it through bends, is
> there some magic formula for it? All I can figure out is that the angle
> between the two is related to the length of the trailer but beyond that I'm
> a bit lost.
I don't know if the "mathematical correct" answer has already been given
(or if you have come to a solution in another way), the term for the curve
that the trailer describes following the truck (or a dog following the leash
and so on) is called "tractrix". It is a simple solution of a simple differantial
equation.
Guckst Du hier:
http://mathworld.wolfram.com/Tractrix.html
HTH
Markus
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>I don't know if the "mathematical correct" answer has already been given
>(or if you have come to a solution in another way), the term for the curve
>that the trailer describes following the truck (or a dog following the leash
>and so on) is called "tractrix". It is a simple solution of a simple differantial
>equation.
>
>Guckst Du hier:
>
>http://mathworld.wolfram.com/Tractrix.html
>
>HTH
>
>Markus
>
Thanks for the the term of the curve. Yes, the problem (and its solution) is
quite simple, but putting it into an algorithm with pov models to move is a
little more than just solving a differential equation.
I tried it with a dog yesterday, but he didn't follow the curve. Charlie was
running three times around a tree and a garden chair, although I showed him
the equations before! Any solution for this problem? ;-)
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In article <web.3d81b338a31ba4aaf70c33440@news.povray.org>,
"J. Diehl" <j.d### [at] firemail de> wrote:
> I tried it with a dog yesterday, but he didn't follow the curve. Charlie was
> running three times around a tree and a garden chair, although I showed him
> the equations before! Any solution for this problem? ;-)
It was misworded...*you* follow the curve, the dog goes where he wants.
;-)
--
Christopher James Huff <cja### [at] earthlink net>
http://home.earthlink.net/~cjameshuff/
POV-Ray TAG: chr### [at] tag povray org
http://tag.povray.org/
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> I tried it with a dog yesterday, but he didn't follow the curve. Charlie was
> running three times around a tree and a garden chair, although I showed him
> the equations before! Any solution for this problem? ;-)
Pull harder! Or get a different dog. ;-)
Markus
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