Randomized Incremental Construction

Closest Pair Distance (RIC)

Track the closest pair as points arrive, using a randomized incremental grid.

Idea: insert points in random order and keep a grid to check only nearby candidates.

When the closest distance shrinks, rebuild the grid with a smaller cell size.

Parameters
Summary
Closest Distance
0.1013
Closest Pair
(4.782, 7.977) — (4.700, 8.037)
Rebuilds
6
Total Points
50