Since Dec wraps around to Jan, you can fold the left and right to make a tube.
Since 23:59 wraps to 00:00 you can fold the top and bottom of the tube, making a torus (a donut).
For a fixed lat/long, each point on the torus corresponds to the sunlight observed at a particular time throughout the year. Why bother with a torus? The shape itself embeds the continuity of time across days/years that is otherwise left implicit in the typical 2D plot.
I've wanted to plot this in 3D or have it printed on a ring, but never got round to it.
Any one seen anyone do this?