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I'm surprised nobody has mentioned MGRS as a somewhat similar system. Coordinates look like so; 4QFJ 1234 5678.

That means the coordinate is in the 100km grid-square named 4QFJ. At 12,340m North and 56,780m East of the SW corner.

It's easy to reason about the coordinates if they're on the same square, and given how big squares are they usually will be. You do need to memorize some letters and numbers, but since the relationships between coordinates are clear, you should only need to memorize the least-significant digits for nearby locations.

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