## Monday, May 7, 2012

### Interesting formula...and graph

Have you seen a mathematical formula, when graphed in two dimensions, can exactly reproduce the formula itself visually? Here is one:

,
where  denotes the floor function and mod is the modulo operation.

When proper parameters are chosen for x and y, which at the same time satisfy this inequality, the resulting graph will look like this:

,

which, as you can see, looks exactly the same as the original formula. Interesting, huh?

See more here. HT: Feng Dong.