Code/Cipher Idea to Remember - Number to an Image

[yourmapper]

Check out this method to take a long base-10 number, run it through a formula, and create a black and white 106x17 pixel image!

 

 

It's called the Tupper's Self-Referential Formula. https://en.wikipedia.org/wiki/Tupper's_self-referential_formula

So if we are every playing a future Treyarch zombie map and we see clips of paper laying around that just have a 543-digit integer on it, then we know we can run it through a formula to reveal an image!

Example 1: n=10972249630976314209007504532033134949682086639198171874178386489416721212125763915435428634919871166306043061044372149862503608116825035242203771489961723271194035787338485934044510302195667783070693718545221897410050191506550799292424771369239643895773826749855239799677873092167849216646372880455565320

makes an image that has the text "The Cake is a Lie".

Example 2: N=6064344935827571835614778444061589919313891311

makes an image of a smiley face.

And there are variations of this formula so that you can really have any length integer make an image of any height and width.

I couldn't find an online solver but here is one in JS that you can modify in a pinch: http://www.petervis.com/mathematics/tuppers_self-referential_formula/Plot_Tuppers_Self-Referential_Formula.html

And a Mathematica download: http://mathworld.wolfram.com/TuppersSelf-ReferentialFormula.html 

 

 

[Stop Mocking Me0]

@yourmapper you continue to impress me!

[yourmapper]

@yourmapper you continue to impress me!

​Thanks Stop, you too!  I hope this might help out some day and thought the forum was a good place to archive the info.

[yourmapper]

Wait!  So Treyarch actually used this!  https://www.youtube.com/watch?v=I0nURvzwMhk

"The Formless One Will Be Their Downfall"

Holy cow.  I wonder if Treyarch actually read this.

[PINNAZ]

Haha. BRAINS @yourmapper

 

I read this thread when you first posted it & didn't realize this was used in SoE!

 

Awesome stuff mate