Two attempts to flow a hex grid to a hemi-sphere did not produce the desired patterns.
One attempt was with "square" iso-lines.
The other attempt was with "radial" isolines. (A disk and revolved quarter circle.)

- Brian

Tried this in modo with a flattened tessellated hemisphere and radial falloff.

But that's pentagons :S (I like the approach tho !)

Auck! you're right! Got into it, and completely missed the point.:(

So I am thinking of a Stereographic projection of 2D hex grid with centerpoint in each hexagon, and perhaps a gradient of circle sizes in each hex, to a half sphere.
Stereographic projection maps 2D circles onto sphere, as circles.

Then squash the half sphere by projecting it straight downward. This will turn the circles on the half sphere, into "ellipses" on the 2D plane.

- Brian

Tried another attempt at this using Steve Hills Harry Kit - Array Create Op. and concentric circles, not as tight packing as with Hexes.

RadialPattern script


https://moiscript.weebly.com/uploads/3/9/3/8/3938813/radialpattern.v.1.3.2015.12.13.zip

Cool! Thanks!