Difference between revisions of "FractalTiling"

From Seasteading
Jump to: navigation, search
(New page: Category:RequirementModularCategory:RequirementScalableCategory:OfficialIdea It is desirable for the structure footprint to have the property of fractal tiling, meaning that i...)
 
Line 1: Line 1:
[[Category:RequirementModular]][[Category:RequirementScalable]][[Category:OfficialIdea]]
+
[[Category:RequirementModular]][[Category:RequirementScalable]][[Category:OfficialDesignPattern]]
  
 
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.
 
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.

Revision as of 20:52, 1 June 2008


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)