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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Math Photo: Snowy Histogram

Snowy Histogram

The way the snow collected on the fence reminded me of a histogram, though you might have to rotate your head 225 degrees to see it for yourself!  As I took this in, I wondered why some chains of snow were longer than others.  I also wondered what this representation of data said about the direction of snowfall.

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02/14/2014 — Happy Permutation Day!

Today we celebrate a Permutation Day!  I call days like today permutation days because the digits of the day and month can be rearranged to form the year.

02142014

Today is also a single-transposition day, since the each string can be formed by simply transposing the 0 and the 2 in the other string.

Celebrate Permutation Day by mixing things up!  Try doing things in a different order today.  Just remember, for some operations, order definitely matters!

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