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reflexicons.jl

Reflexive lexicons and self-enumerating sentences (autograms) in Julia

https://github.com/jakewilliami/reflexicons.jl

Science Score: 44.0%

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Repository

Reflexive lexicons and self-enumerating sentences (autograms) in Julia

Basic Info
  • Host: GitHub
  • Owner: jakewilliami
  • License: mit
  • Language: Julia
  • Default Branch: master
  • Size: 35.2 KB
Statistics
  • Stars: 1
  • Watchers: 1
  • Forks: 0
  • Open Issues: 0
  • Releases: 3
Created about 3 years ago · Last pushed 8 months ago
Metadata Files
Readme License Citation

README.md

Reflexicons

Dev CI Code Style: Blue

Background

Reflexicons (reflexive lexicons, as coined by Lee Sallows) are self-enumerating word lists that describes its own letter frequency. We start with arbitrary text on one page, and the next page enumerates the number of letters (written out in full) on the previous page, and so on and so forth. A autogram is a true self-descriptive sentence. When iterating over "pages" of the state of a reflexicon, one may encounter loops. An autogram is then one of these loop whose period/cycle length is one.

For more information on reflexicons more eloquently, see Lee Sallows' article on reflexicons.

Quick Start

```julia-repl julia> using Reflexicons

julia> R = ReflexiconState("x") # construct a reflexicon with an initial state PAGE 1 ┌───┐ │ x │ └───┘

julia> next!(R) # go to the next page, modifying PAGE 2 ┌───────┐ │ one x │ └───────┘

julia> next!(R) PAGE 3 ┌───────┐ │ one e │ │ one n │ │ one o │ │ one x │ └───────┘

julia> first!(R) PAGE 1 ┌───┐ │ x │ └───┘ ```

For construction of autograms, see autogram.jl.

Acknowledgements

Thanks to Lee Sallows for correspondence on this topic, and for sharing Pascal code to find autograms.

Thanks to Dillon Mayhew for discussions on this topic.

Citation

If your research depends on Reflexicons.jl, please consider giving us a formal citation: citation.bib.

Owner

  • Name: Jake Ireland
  • Login: jakewilliami
  • Kind: user
  • Location: ///scary.zealous.twin

Citation (citation.bib) 

@software{ireland2023reflexicons,
  title={{Reflexicons.jl}: Reflexive lexicons and self-enumerating sentences (autograms) in {Julia}},
  author={Ireland, Jake W and Sallows, Lee Cecil Fletcher},
  year={2024},
  howpublished={\url{https://github.com/jakewilliami/Reflexicons.jl}},
  note={{Julia} package version 0.1.2}
}

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