The dashed circle shows the current best distance. As the algorithm finds closer points, the circle shrinks, which causes more subtrees to fail the "could contain a closer point?" test and get pruned. The search usually gets cheaper as it progresses.
In 1992, in a small shop in British Columbia, a sign maker named Blair Gran stared at a wall full of half-finished jobs and felt something click. Sign-making was treated like a commodity — orders in, banners out — but as thousands of signs came through his shop, he couldn’t help but notice the difference between the good ones and the bad ones. He could see that every sign that left his shop was either helping a business get noticed, or letting it disappear in plain sight.
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