Geometry Everywhere
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Cell towers

Equidistance and Coverage Regions

Your phone follows a single rule: connect to the strongest signal, which means the nearest tower. No engineer sits down and traces borders across the city. Yet sharp-edged regions appear on the map anyway, and those edges are not curved — they are perfectly straight. How does one rule that simple produce straight-edged regions?

night map — every handset is on its nearest mastnobody drew these colours: one rule, the nearest mastthe handset on the border: both links exactly equal

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