Function Repository Resource:

TupperCipher

Source Notebook

Encrypt with Tupper’s self-referential formula

Contributed by: Aster Ctor

ResourceFunction["TupperCipher"][str,p]

encrypts the string str with the prime p as the key.

ResourceFunction["TupperCipher"][img,p]

encrypts the image img with the prime p as the key.

Details and Options

Tupper’s self-referential formula is a formula that visually represents itself when graphed at a specific location in the xy-plane.

The formula was defined by Jeff Tupper and appears as an example in Tupper's 2001 SIGGRAPH paper on reliable two-dimensional computer graphing algorithms.

ResourceFunction["TupperCipher"] encodes an image into an integer k according to this principle, so that the solution of the equation in the region k+p is this image.

Examples

Basic Examples (2)

Encrypt a string as input:

In[1]:=

Out[1]=

Test decoding via the resource function TupperDecipher:

In[2]:=

Out[2]=

Scope (3)

Define an image:

In[3]:=

love = Image[{
{0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0},
{1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0},
{1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0},
{1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0},
{0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0}
}]

Out[3]=

Encrypt it:

In[4]:=

Out[4]=

Use the resource function TupperDecipher to test decoding:

In[5]:=

Out[5]=

Publisher

Aster Ctor (MoeNet)

Version History

1.0.0 – 26 December 2019

Source Metadata

Citation:
- Tupper, J., "Reliable two-dimensional graphing methods for mathematical formulae with two free variables." In: SIGGRAPH '01: Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, 77–86. New York: Association for Computing Machinery, 2001. DOI: 10.1145/383259.383267

Related Resources

License Information

This work is licensed under a Creative Commons Attribution 4.0 International License

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