Self-graphing equations
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916668322611200 |
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| author | Alexander, Samuel Allen |
| author_facet | Alexander, Samuel Allen |
| contents | Can you find an xy-equation that, when graphed, writes itself on the plane? This idea became internet-famous when a Wikipedia article on Tupper's self-referential formula went viral in 2012. Under scrutiny, the question has two flaws: it is meaningless (it depends on typography) and it is trivial (for reasons we will explain). We fix these flaws by formalizing the problem, and we give a very general solution using techniques from computability theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00006 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-graphing equations Alexander, Samuel Allen General Mathematics 03D80 Can you find an xy-equation that, when graphed, writes itself on the plane? This idea became internet-famous when a Wikipedia article on Tupper's self-referential formula went viral in 2012. Under scrutiny, the question has two flaws: it is meaningless (it depends on typography) and it is trivial (for reasons we will explain). We fix these flaws by formalizing the problem, and we give a very general solution using techniques from computability theory. |
| title | Self-graphing equations |
| topic | General Mathematics 03D80 |
| url | https://arxiv.org/abs/2504.00006 |