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"Lars W." wrote:
>
> Hi
>
> I wan't to construct an Sphere out of triangles ,( i know the standard
> POV-Sphere is faster and better and
> so on, but i need a trianglesphere ), does anybody know of resources, or has
> an tutorial by him self
> for doing that. it should be possible to say, how complex the sphere should
> be, and it should
> NOT look like an globe, best would be an sphere out of evenly sized
> triangles.
>
> thanks in advance.
>
> Lars Wolter
For the record the older dos utility called geodome was perfect for this
task. If you would like a copy I could email it to you.
--
Ken Tyler
mailto://tylereng@pacbell.net
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Ken wrote:
>
> "Lars W." wrote:
> >
> > Hi
> >
> > I wan't to construct an Sphere out of triangles ,( i know the standard
> > POV-Sphere is faster and better and
> > so on, but i need a trianglesphere ), does anybody know of resources, or has
> > an tutorial by him self
> > for doing that. it should be possible to say, how complex the sphere should
> > be, and it should
> > NOT look like an globe, best would be an sphere out of evenly sized
> > triangles.
> >
> > thanks in advance.
> >
> > Lars Wolter
>
> For the record the older dos utility called geodome was perfect for this
> task. If you would like a copy I could email it to you.
>
> --
> Ken Tyler
>
> mailto://tylereng@pacbell.net
I also have the C source for that program if anyone would rather
tinker with that for inspiration.
--
Ken Tyler
mailto://tylereng@pacbell.net
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That would be great, if can send me the source, it shouldn't be a Problem
to make some POV Code out of it, and if i can't get it to work, i can write
my own c-Programm creating triangle spheres.
E-Mail mailto:lar### [at] snafu de
Thanks
Ken <tyl### [at] pacbellnet> schrieb in im Newsbeitrag:
377C12D8.F74033DF@pacbell.net...
>
>
> Ken wrote:
> >
> > "Lars W." wrote:
> > >
> > > Hi
> > >
> > > I wan't to construct an Sphere out of triangles ,( i know the standard
> > > POV-Sphere is faster and better and
> > > so on, but i need a trianglesphere ), does anybody know of resources,
or has
> > > an tutorial by him self
> > > for doing that. it should be possible to say, how complex the sphere
should
> > > be, and it should
> > > NOT look like an globe, best would be an sphere out of evenly sized
> > > triangles.
> > >
> > > thanks in advance.
> > >
> > > Lars Wolter
> >
> > For the record the older dos utility called geodome was perfect for
this
> > task. If you would like a copy I could email it to you.
> >
> > --
> > Ken Tyler
> >
> > mailto://tylereng@pacbell.net
>
> I also have the C source for that program if anyone would rather
> tinker with that for inspiration.
>
> --
> Ken Tyler
>
> mailto://tylereng@pacbell.net
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Thanks for the tip, i see what i can get out of the Programm that Ken sends
me, and if
it doesn't work in any way i would be happy for an example from you.
greetings Lars
Lance Birch <lan### [at] usanet> schrieb in im Newsbeitrag:
377c0f03@news.povray.org...
> >: I wan't to construct an Sphere out of triangles ,( i know the standard
> >: POV-Sphere is faster and better and
> >: so on, but i need a trianglesphere ), does anybody know of resources,
or
> has
> >: an tutorial by him self
> >: for doing that. it should be possible to say, how complex the sphere
> should
> >: be, and it should
> >: NOT look like an globe, best would be an sphere out of evenly sized
> >: triangles.
> >
> > Distributing objects evenly on the surface of a sphere is a non-trivial
> >task.
> > If making a earth-looking globe (with latitude and longitude lines) is
> >enough, that's pretty easy with povray (you need some math, though).
>
> But the triangles won't be the same sizes right?
>
> If you really want to do it perfectly you can use a geosphere with a
> geodesic base type of a 20-sided icosahedron. The facets are all equally
> sized equilateral triangles. From there the sphere can be divided into
any
> number of segments based on multiples and divisions of the 20 faces.
>
> Right?
>
> Alternatively you could try a polyhedron base type like a tetrahedron or
> octahedron (all of which can be made as spacial spherical subdivisions)
but
> these won't look as even as the icosahedron will.
>
> If you want I can post an example of such an object.
>
> --
> Lance.
>
>
> ---
> For the latest 3D Studio MAX plug-ins, images and much more, go to:
> The Zone - http://come.to/the.zone
> For a totally different experience, visit my Chroma Key Website:
> Colorblind - http://listen.to/colorblind
>
>
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"Edward C." wrote:
> But there are other ways to subdivide...
Of course you are right. Your answer make me think harder. Finally I arrived
to a version of your idea that creates equilateral triangles. Again I posted
the result in the povray.bin.images.
Alberto.
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"Lars W." wrote:
> That would be great, if can send me the source, it shouldn't be a Problem
> to make some POV Code out of it, and if i can't get it to work, i can write
> my own c-Programm creating triangle spheres.
I just found a basic source code on the net that should do. I'll also
try to translate it to POV code - shouldn't be too complicated:
http://www.freenet.edmonton.ab.ca/domes/geometry.bas
Uwe.
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Here is another link (including DOS/Win executable and C++ source):
http://www.cris.com/~rjbono/html/domes.html
Uwe.
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Trying to revive this thread...
I succeeded in translating the basic version to POV only to notice that
it only creates the symmetry triangle. However, I got back to the
basics, took out pencil and paper, did some geometry and finally I got
it:
A POV macro that does an intersection of the three triangular faced
polyhedrons (tetrahedron, octahedron, icosahedron) to any number of
splittings (also called frequency) resulting in a geodesic sphere.
Up to now the macro is still experimental and I have to add a little bit
of documentation and remove those nasty #debug messages. But then -
hopefully by the end of this week - I'll post it on this server.
What it does
------------
- intersects the triangular shaped faces of polyhedrons and projects
the new
vertices on a unit sphere
- gives back an array with the coordinates of these vertices
- a second macro gives the resulting geodesic sphere as an object with
a native
radius of 1 POV unit, centered at the origin
- user-defined macros determine the shapes/objects drawn at the vertex
coordinates
("corners") and as the links ("edges") between each two neighbouring
vertices
- a third macro (not yet written) is going to create a mesh structure
representing
the triangular faces of the geodesic sphere
You can have a look at the first testpicture which I post in
povray.binaries.images under the same thread name.
Uwe.
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Hej Lars, hej all!
"Lars W." wrote:
> I wan't to construct an Sphere out of triangles ,( i know the standard
> POV-Sphere is faster and better and so on, but i need a trianglesphere )...
Here it is: my newly written (and first published) POV macro package
"geodesic.inc".
You can see a sample scene under the thread "Creating Spheres of
Triangles II) in povray.binaries.images and you can get the package
itself under the same subject in povray.binaries.utilities.
Uwe.
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> I wan't to construct an Sphere out of triangles ,( i know the standard
> POV-Sphere is faster and better and
> so on, but i need a trianglesphere ), does anybody know of resources, or has
> an tutorial by him self
> for doing that. it should be possible to say, how complex the sphere should
> be, and it should
> NOT look like an globe, best would be an sphere out of evenly sized
> triangles.
I created a package that will take an image in Mathematica and convert
it to povray. I put some examples up at
http://members.wri.com/davida/povlink/povlink.html
The first three are the same surface of revolution object and the last
is a torus. The the sphere, the torus can also be created by povray,
but I those to do it in Mathematica and convert it.
-Dave
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