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arXiv Math @arxiv_math@qoto.org
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Self-graphing equations https://arxiv.org/abs/2504.00006 #mathGM

Self-graphing equations

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.

arXiv.org
April 3, 2025 at 3:10 AM · · feed2toot · 0 · 0 · 0
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