FractalTiling

It is desirable for the structure footprint to have the property of fractal tiling, meaning that it tiles at any scale - small units can combine into medium units which can combine into large units. And a medium unit made of small units has the same shape as a medium unit built in one piece.

Shapes:

• Two simple shapes with this property are the Equilateral Triangle and the Square. The square leads to more normally shaped rooms inside.
• Hexagons don't have this property, since when you combine them, you don't get a hexagon.
• Sadly, round shapes (while pretty) are not very tile-able.

So for example, we could build square small 10mx10m seasteads, medium 20mx20m seasteads, and large 40mx40m seasteads. Any group of 4 small 10mx10m seasteads can lock together to form a 20mx20m square, which could lock together with a medium 20mx20m seastead built in one piece.

(Illustrations would be nice)