The pictures didn't come through. On Mon, Aug 8, 2011 at 6:52 PM, Fred lunnon <fred.lunnon@gmail.com> wrote:
[ Take 3 --- with apologies to Rich! ]
After GoogleDocs rehashed their interface again --- which it admittedly needed --- I can't upload there any more. So I've attached a GIF graphic, which I hope will sneak under the 40Kb limit set by the math-fun server.
An efficient algorithm (combinatorial, rather than generic polygon-filling) to fill the original snowflake curve required some thought on my part, although in the end it isn't very difficult.
The natural tiles are rhombs, rather than RWG's hexagons [hexflo.png]. However, I haven't yet figured out a neat way to use them directly, rather than split into two triangles.
The two regions are simply connected, unsurprisingly though not immediately obviously --- take the ends of a finite segment of curve and pull?
Rather grotty Maple code & larger pics available on request.
Fred Lunnon
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