I don't quite buy his argument. A fence in the shape of a Sierpiński triangle would have infinitely many enclosures each of infinitely small area. Not one enclo

I don't quite buy his argument. A fence in the shape of a Sierpiński triangle would have infinitely many enclosures each of infinitely small area. Not one enclosure of infinitely small area. Doesn't that make a difference? ∞•0 is not necessarily the same as 1•0