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The pruned nodes (in red) represent entire regions of space that the algorithm never examines. The points inside those regions are never checked. Compare the "Nodes Visited" count to the total number of points. The quadtree is doing far less work than a brute-force scan.
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OCR (aided greatly by the constrained and standardized MICR character set).
While the magnets are for attaching, the pin connectors assist with power delivery. Data transmission between the phone and the modules is handled wirelessly, with the ability to switch between Wi-Fi, Bluetooth and mmWave depending on where the user is located.