A real life application of Venn Diagrams, or How I spent my Sunday afternoon.

I was at the local neighborhood pool today, working on the all-important sun tan before heading inside to watch the FLA at WSH game at 3pm. It started drizzling, kind of like this:

After briefly looking around for a rainbow in the sky, and after overcoming the minor disappointment of not seeing one, I noticed that the drizzle was becoming more and more like a steady rain:

I decided to migrate towards the nearby umbrella, which was casting its large octagon-shaped shadow over a table and some chairs:
(The table and chairs can't be seen in the figure above because the shade is extremely dark).  As I was moving myself and my belongings, I noticed that because of the umbrella, the pattern of rain on the ground looked something like this: 
But the sun was still out also, and since the angle of the sun's rays was different than the angle at which the rain was falling, the umbrella cast a octagonal shadow that didn't exactly overlap with the dry areas:

So I says to myself, I says, I can have the best of both worlds.  I can be both sunny and dry if I just sit in the region
Sunny ∩ Rainy'

where the "prime" symbol is used here to denote "complement".  The above line is typically read "Sunny intersect Rainy complement", and means "Sunny and Not Rainy".  In other words, I should sit in the region outside the grey octagon, but inside the rainless octagon:
So I did exactly that until the rain stopped, and successfully got a nice tan while keeping dry.

Then it started getting hot, so I jumped into the pool.

The end. 

*Special thanks to Venn and his diagrams for their assistance with this article, and for helping me figure out how to get a sun tan without getting wet.*


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