Everything in physics is described by an equation. Equations can describe the shape of lines, curves, surfaces, and just about any object you can think of. In fact, youâ€™d be hard-pressed to think of anything not described by some equation or another.So this leads us to an interesting question: Is there a mathematical equation that describes itself? The answer, it turns out, is yes. Itâ€™s called Tupperâ€™s Self-Referential Formula, and it looks like this:

The top part of that image is the equation itself. The bottom part is a graph of the equation, which, as you can see, is exactly the same.To be fair, this equation cheats a little bit. You may notice that the y-axis of that graph begins at â€˜kâ€™. Whatâ€™s k? In this case, itâ€™s a 543-digit number, so this graph is actually pretty high up the y-axis.So whatâ€™s going on? Well, Tupperâ€™s Self-Referential Formula doesnâ€™t only describe itself. It actually describes everything. More specifically, the graph created by the formula features every possible 106 by 17 pixel grid, arranged one after another along the y-axis. All you have to do in order to find a specific grid is travel far enough up the axis.This Numberphile video has more background and context on Tupperâ€™s Self-Referential Formula: