Tupper's Self Referential Formula

2011/02/23

Tagged with: math

Browsing through the daily news sources, I came across this interesting inequality, discovered by Jeff Tupper:


Tupper's Formula

Well, what's so good about it? After all, it's just an inequality, right? It's not just any inequality though. Try plotting it. More specifically, Let k be the following number:

96093937991895888497167296212785275471500433966012930665150551927170280 23952664246896428421743507181212671537827706233559932372808741443078913 25963941337723487857735749823926629715517173716995165232890538221612403 23885586618401323558513604882869333790249145422928866708109618449609170 51834540678277315517054053816273809676025656250169814820834187831638491 15590225610003652351370343874461848378737238198224849863465033159410054 97470059313833922649724946175154572836670236974546101465599793379853748 3143786841806593422227898388722980000748404719

Then plot the inequality over the set of points with x varying from 0 <= x <= 106 and k <= y <= k+17

Here's the result (do prepare to have your mind blown):


Formula Plot

Sure looks like the actual inequality, doesn't it? If you don't believe me, you can try it out yourself. (it doesn't seem to work in Chrome, though)

Sources: Wikipedia

- Hasnain

PS: Maybe this posting style would be better and more interesting, let's see how it goes.

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