# Red and Silver Pair of Ornaments

## Spacing the Points

I've always associated the paper models I've made with the winter
holidays; not only does drier indoor air make white glue dry nice and
fast, but holiday gift giving is a fitting excuse.

However, to scale down the models, I needed the edges to be much more
evenly spaced. Leaving everything up to chance had a certain purity
that I liked, but obviously some post-processing was in order, so after
picking the points out of a uniform distribution, I ran an algorithm to
push nearest pairs of generator points apart slightly, then normalise
them back to the surfact of the sphere.

This algorithm does tend towards creating polygons, whose diagonals
will be a lot longer than the edges of the nearly-equilateral triangles;
such a pentagon is visible in the photo at left.

It turns out that in this case, there's one such almost-pentagon; it's
the easiest way to identify the corresponding parts of the two models.

## Painting

The two models are painted with Testors brand gloss enamel paint.
The red came first, and took two coats, while to my surprise, the silver
was much easier to work with, and took only one coat.

I was looking for something shiny and thick enough to cover the flakes of
toner along the edges. I'm quite happy with the enamel paint, which has
the added benefit of giving some waterproofing to the models.

This pair were apparently a hit with my family.

PostScript: Delaunay, Voronoi.