alt Hacker NewsI was thinking about this problem a few days ago, imagining a semi-online game where players could create a collective city by plotting buildings. The "grid" would be some kind of pre-determined voronoi pattern, in theory making occlusion culling easier.
If the main goal is to limit sight lines, there are a lot of potential tessellations that will give that effect, while also being predictable and infinitely repeatable. For example, imagine a regular city grid, except every roads is a wavy S-curve.
I bet there is a special math term for "tilings that do/don't contains infinite lines", but I wasn't able to find it quickly. It's not the same as (a)periodic, since a periodic tiling could block the lines, and an aperiodic tiling could have one giant seam down the middle.