"Bald Eagle" <cre### [at] netscapenet> wrote:

> I was actually thinking not as an object pattern, but as the native lattice of
> cylinders.  Make a scene with small spheres as the center points, and make the
> Voronoi with cylinder{} objects.

Like so:

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"Bald Eagle" <cre### [at] netscapenet> wrote:

> AND, if that's possible - then why not do the Voronoi with prism {} objects.
> Then they can all be collected into an array and textured however one wants -
> even manually, one at a time.

Here's a quick and dirty, scaling each prism height randomly.

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"Bald Eagle" <cre### [at] netscapenet> wrote:
> "Bald Eagle" <cre### [at] netscapenet> wrote:
>
> > I was actually thinking not as an object pattern, but as the native lattice
> > of cylinders.  Make a scene with small spheres as the center points, and
> > make the Voronoi with cylinder{} objects.
>
> Like so:

Excellent!

I'm thinking there's scope for some optimization here - removing points between
collinear segments, removing duplicates (for drawing the edges, at least) - this
would make the cells much lighter, and if done at the right stage improve
parsing time.
Coupled with aggregation of max() as you described before (like a binary tree or
similar), this could definitely be improved :)

Different seed shapes would also be interesting.

Bill

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"Bald Eagle" <cre### [at] netscapenet> wrote:
> Here's a quick and dirty, scaling each prism height randomly.

Even more excellent!

I just need to find some time to play with it myself now :)

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See p.t.s-f for a macro to generate 2D Voronoi polygons (including collinear
point removal!).

Here's my version of the Voronoi patchwork city :)

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"Bill Pragnell" <bil### [at] hotmailcom> wrote:

> > Also wondering if the Delaunay triangulation can be done as well.  Rendering
> > the dual would be a cool effect.
>
> No idea - this is a bit of a hack! I imagine triangulation could be done with an
> SDL macro, and then the triangles could be colored however you want... but I
> have no experience implementing Delaunay triangulation so I'm not sure.

So, it looks like what happens, is that we draw a line perpendicular to a
Voronoi edge and connect it to another Voronoi center point.

https://web.archive.org/web/20170922181219/http://www.geom.uiuc.edu/~samuelp/del_project.html
(see diagrams at end)

So, somewhere, I know I have the "calculate the closest point on a line to
another point not on the line" macro.  We can use that to create a vector
perpendicular to the line, and then somewhere along that extended vector ought
to be a point in an adjacent cell.

But now I'm thinking that if we are finding the closest point when constructing
the Voronoi, can't we somehow leverage that and draw the line right when we know
our starting center and the just-found closest point?

Much to think about.

We also don't have a Delaunay pattern implemented in POV-Ray, so that would be a
cool thing to add.

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Il 25/11/2022 01:27, Bill Pragnell ha scritto:

I like these colors better: a promising image!

Paolo

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