How does a twilight map differ from a specific altitude and azimuth calculation?

Answer

Coordinate calculation tells an individual where the Sun is relative to them; the twilight map shows where on Earth the Sun is illuminating the surface.

A specific coordinate calculation provides a unique address for the Sun in the local sky for one observer, while a twilight map provides a broader, contextual visualization shading the entire Earth according to the Sun's angle relative to the horizon across the planet.

How does a twilight map differ from a specific altitude and azimuth calculation?
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