|(via Tosha at Wikimedia Commons)|
Richard Elwes (@RichardElwes) recently tweeted a link to his latest article on "Pick's theorem," a beautifully simple, comprehensible, almost quirky piece of geometry, dealing with the area of a polygon in a lattice grid:
In a sentiment that is echoed by many others, Cliff Pickover says in his "The Math Book," "Pick's theorem is delightful for its simplicity, and it can be experimented with using a pencil and graph paper."
Another treatment of the theorem here:
Interestingly, Pick's theorem works in the geometric plane, but NOT in 3-dimensional space.
Austrian mathematician Georg Pick originally proposed the theorem in 1899, but it wasn't popularized until 1969, long after Pick himself had died in a Nazi concentration camp in 1942.