Thank You!!!!!!!    ;-]

KB-

Ph Gibone wrote:

> >Hmm.. I have been trying to make a horn for some while, without any success
> at
> >all. i'll make some scans of the object I'm trying to create, and I'd like
> to
> >know a bit more of the procedure you used when you made yours.(yep, I know
> it's
> >a program, but I still want to know more:-)
>
> I saw the answer by Ken, and he's right (sorry for this pleonasm), but
> personaly, I prefer Math (don't call me perverted !). My opinion (very
> personal and not a dogma) is : if you can do it with pure math do it so, if
> you're stuck, try something else (of course it is depending on the math
> skills of the current speaker).
>
> Of course you can melt the two ways and use your math to create the two
> pathes used in the Gilles Macro)
>
> So back to math : the Horn is made of a shrinking circle circling around a
> fixed point and
> here is the equation :
>
> x = a*cos(u)+b*cos(c*u)*cos(u)*cos(v)
> y = a*sin(u)+b*cos(c*u)*sin(u)*cos(v)
> z = b*cos(c*u)*sin(v)
>
> (of course you can switch x, y and z, here, the big circle is in the xy
> plane)
>
> Where a = 10 (Radius of the big circle), b = 3 (radius of the little
> rotating circle), c = .6 (this one is a little more complicated to
> understand, it measures how fast the little circle vanishes, see below)
>
> (u and v in degrees here)
> u in [0, 150] (this ending value gives you the angle at which the small
> circle vanishes, it it strongly correlated with the c parameter because c =
> 90 / ending angle)
> v in [0, 360]
>
> What it particularly interesting with these maths is that you know what are
> the parameters for, and it's very easy to modify them, if you want a very
> thin horn just decrease b, if you want the horn to vanish after a half
> circle put ending angle = 180 (Half circle) and c = 90/180 = 0.5
>
> >As for the image, It looks good, although I have noo idea about what it
> is...
> >Ok, a clock of sorts, with precision.. ok, how did you say I was to use it?
> >(what time is it in the image?)
>
> 4 h 0 m 40 s, or may be 8 h 0 m 20 s
>
> Philippe

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