[tropo]

Oh, there is another way to do this with webbing.

The tiling can be recursively generated. (called "inflation" and "deflation") That is, starting from a Penrose tiling, another one with smaller tiles can be generated. This means that the patches of webbing can be tiled as Penrose tiles, yet be subdivided such that the result is a valid Penrose tiling with smaller tiles.

In case you are trying to imagine this... good luck. The recursive generation does not retain the large tile divisions as small tile divisions. The large tile divisions become jagged edges. This is fine; the tile industry already tolerates this issue with hex tiles on webbing.