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A curated list of examples of self-reference in art, science, and technology

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Mathematics

  • 13532385396179

    A number that is its own prime factorization, that is 13532385396179 = 13 × 53² × 3853 × 96179.

  • Liar's paradox

    This sentence is false.

  • Life in Life

    Conway's Game of Life running inside Conway's Game of Life using OTCA metapixels.

  • Russell's paradox

    Does the set of all those sets that do not contain themselves contain itself?

  • Trott's constant

    The unique number whose digits equal its continued fraction coefficients.

  • Tupper's self-referential formula

    A formula that visually represents itself when graphed at a specific location in the (x, y) plane.

Computing

  • A Micro-Manual for LISP - Not the whole truth

    The LISP interpreter written in LISP.

  • An Ouroboros Quine

    A Ruby program that generates Rust program that generates Scala program that generates (through 128 languages in total) REXX program that generates the original Ruby code again.

  • A radiation hardened quine

    A Ruby quine that remains a quine after any one of the characters in its source code is removed.

  • Bootstrapping

    A technique for producing a self-compiling compiler - that is, compiler (or assembler) written in the source programming language that it intends to compile.

  • Fix-point combinator

    A higher-order function fix that, for any function f that has an attractive fixed point, returns a fixed point x of that function.

  • hashquine_by_retr0id.png

    A PNG image of the ouroboros that displays its own MD5 hash.

Language

  • Autogram

    A sentence that describes itself in the sense of providing an inventory of its own characters.

  • Fumblerule

    A rule of language or linguistic style, humorously written in such a way that it breaks this rule.

  • Recursive acronym

    An acronym that refers to itself.

Web

  • Awesome Self-Reference

    A curated list of examples of self-reference in art, science, and technology, which includes itself.

  • Quine Tweet

    A tweet that quote tweets itself.

  • Wayback Machine

    Snapshots of The Internet Archive stored in The Internet Archive.

  • Wikipedia

    An article about Wikipedia on Wikipedia.

Art

Other

  • Hofstadter's law

    "It always takes longer than you expect, even when you take into account Hofstadter's Law".

  • Miniatur Wunderland

    The world's largest model railway in Hamburg, Germany has a model of itself in its model of Hamburg.

  • Untitled Goose Game

    The village where Untitled Goose Game takes place contains a small model version of itself, and also a tiny version of the model inside that.

Showing a sample of 33 resources. View the full list on GitHub →