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Math Photo: Spherical Snow Cap

On a recent snowy day, I took a stroll through the park at lunchtime.  This lovely round stone caught my eye.

Spherical Cap and Projection

The snow here has accumulated as a spherical cap.  I also like how the area under the stone, untouched by snow, is some kind of projection of the sphere.  I wonder what we can say about the direction of the snowfall, based on this snowless projection?

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