diff --git a/HexGrid/Path.pm b/HexGrid/Path.pm
index b16d3b3..b98feaf 100644
--- a/HexGrid/Path.pm
+++ b/HexGrid/Path.pm
@@ -79,9 +79,7 @@ sub render($this, $grid, $svg)
 		my ($qx,$qy) = $grid->coords_of_centre($current_tile->nw, $current_tile->sw);
 		($x2,$y2) = $grid->coords_of_edge($current_tile->nw, $current_tile->sw, $next_edge);
 
-		# TODO: Draw curve from $current_tile:$previous_edge to $current_tile:$next_edge
-		#       with $current_tile centre as the control point
-		$g->path(d => curve_path($x1,$y1, $qx,$qy, $x2,$y2),
+		$g->path(d => curve_path($x1,$y1, $qx,$qy, $x2,$y2), fill => 'transparent',
 			stroke => $this->colour, style => $this->style, class => $this->css_class
 		);