Fig. 1.

The rhomboid tiling of five weighted points on the real line. The weights are the squared radii of the colored half-circles. The horizontal line at depth k intersects the tiling in the order-k Delaunay mosaic of the points. Since D has much smaller weight than its two neighbors, it is not part of the order-1 mosaic. Nonetheless, D participates in all mosaics of order higher than one