Why can the Moon seem lit from the wrong direction?
A crescent Moon can seem to point away from the Sun that illuminates it. The puzzle concerns how we interpret directions across a wide sky. Geometry offers a way to investigate why a photograph or an imagined straight line can make that relationship look surprising.
Questions you could explore
- How does the apparent direction change with the viewpoint or the kind of photograph?
- What would a diagram need to preserve to compare the Sun and Moon accurately?
Start reading
- Glaeser and Schott / KoGGeometric Considerations About Seemingly Wrong Tilt of Crescent Moon
The public abstract explains the projection problem, with a link to the illustrated geometry paper. The mathematics is more advanced than the opening question.
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