The same phenomenon occurs with glass spheres. If you think about it it is obvious enough (most people are familiar with how a magnifying glass concentrates the ray of the sun in a single spot), but it is something people tend to overlook when employing glass spheres as elements of your interior design — e.g., glass door knobs, large marbles, and decorative knick-knacks (which people have a tendency to place on their…
Actually one of the official 'old school' tool to measure sun exposure thru the day in meteo stations is a glass sphere with a calibrated piece of paper underneath. Needs to be changed everyday, but the burn mark is quite neatly drawn on the chart. EDIT: Found it again https://en.wikipedia.org/wiki/Campbell%E2%80%93Stokes_record...
You can see the tracks of the days and the cloud cover in those photographs. Note that the multiple year ones have multiple days going over a single track.
Aside from the extreme reciprocity failure in the film, its "only" about three stops from a one day exposure to a one week exposure... and another two stops to a month, and then another three and a half stops to a year.