POV-Ray : Newsgroups : povray.binaries.images : Starr Rose (spherical product realization) (48 k ) : Re: Starr Rose (spherical product realization) (48 k ) Server Time
12 Aug 2024 05:20:22 EDT (-0400)
  Re: Starr Rose (spherical product realization) (48 k )  
From: Anthony D  Baye
Date: 29 Oct 2003 17:31:07
Message: <3FA03FAA.B5A1C38A@Rapidnet.com>
Now if Only a person could stagger the petals or something similar, so that
they wouldn't line up like that, it would be pretty close to what I needed.

A.D.B

Dave Matthews wrote:

> The "flower power" thread on povray-general wandered into the area of
> "Starr Roses"
>
> http://news.povray.org/povray.general/33515/
>
> Mike Williams came up with a very nice "dahlia" based on one method of
> extending this object to 3-D:
>
> http://news.povray.org/povray.general/33515/?mtop=235716&moff=18
>
> But I'm still fixated on "spherical products" as a method of extending
> 2D parametric equations (see
> http://news.povray.org/povray.binaries.images/32476/ ).
>
> So, here is a spherical product of the quasi-polar Starr rose (with A =
> 10, B = 30, C = 30) and the polar function R = sin (10 T ).
>
> (That is, in Ingo's param.inc ready form:
>
> F1 = function(u,v) {(2 + sin(A*u)/2)*cos(u + sin(B*u)/C)*sin(10*v)*cos(v) }
>
> F2 = function(u,v){sin(10*v)*sin(v)}
>
> F3 = function(u,v) {(2 + sin(A*u)/2)*sin(u + sin(B*u)/C)*sin(10*v)*cos(v) }
>
> object { Parametric(
>        F1, F2, F3,
>        <-0.0001, -0.0001>, <2*pi + 0.0001, 2*pi + 0.0001>,
>        200,200,"SomeFile.inc"
>     )
> [insert object characteristics] } )
>
> Other spherical products make likewise interesting flowers.
>
> Dave Matthews
>
>   ------------------------------------------------------------------------
>  [Image]


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