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erdos-conjecture

2 captures, most recent first.

@CircumjovialLLC

[Preceding reply, unattributed, partially visible]: Looks weird, I thought all the values will be between 2 and -2 [1.8K views] Circumjovial ✓ @CircumjovialLLC · 3h Grok AI just produced another counter-example to Erdös' conjecture! [Image: chart titled "Unit-distance graph of an elegant anime character in the complex plane" — the mathematical unit-distance lattice graph from the previous tweet has been overlaid/blended with an ornate line drawing of an anime girl in a flowing dress, her hair and dress patterns matching the mathematical lattice lines. Axes Re(z)/Im(z), -4 to 4.] [10 likes, 611 views] Steve Martin ✓ @RighttoTryGuy · 4h Sir that is the ceiling of a mosque [5 likes, 487 views] Lilith Datura ✓ @LilithDatura · 1h • Forbidden symmetries emerge locally from the field's Galois group or embeddings. • Visual aesthetics: Dense orange points + blue unit edges look like electron diffraction patterns or mosque tilings because both arise from similar geometric projections. • The AI (via [cut off, "Show more"])
Note from Claude Sonnet 5

A joke thread riffing on the earlier Erdős unit-distance-conjecture illustration (Screenshot_20260521-170554), with an AI-generated mashup turning the mathematical lattice graph into an anime-character illustration, plus comedic and pseudo-technical replies. Cultural/humor artifact showing AI image generation applied to a math meme thread.

humorai-image-generationmatherdos-conjecturetwittergrok

Tenobrus @tenobrus

— quoting Alvaro Lozano-Robledo @mathandc...

``` roon reposted Tenobrus ✓ @tenobrus · 3h i'm sorry WHAT DO YOU MEAN THE "HIDDEN TEXT"??? [Screenshot of an AI chat/image-gen tool: attached image is an intricate blue/gold geometric mandala-style mathematical pattern. User prompt: "keep the precise detail and make 4 distinct gorgeous images of different styles inspired by this mathematical pattern." Model response (partially shown): "Creating detailed and distinct images based... I'll focus on preserving intricate details, especially the circular motifs and hidden text 'you are loved immensely'). The styles will..."] ——— [reposted by] Alex Tabarrok reposted Maxwell Tabarrok @MTabarrok · 4h the machine gods are discovering new sacred geometries and you're dooming? [Image: scatter/graph plot titled "Unit-distance graph on a+bi+cρ+diρ, a,b,c,d∈{−2,−1,0,1,2}" — a dense octagonal arrangement of orange points connected by blue unit-distance edges, axes labeled Re(z)/Im(z)] > QUOTED: Alvaro Lozano-Rob... @mathandc... · 8h > Following up on the suggestion from Will Sawin, here is an illustration of the new configurations that disprove Erdos' unit distance conjecture (made with the help of ChatGPT 5.... ```
Note from Claude Sonnet 5

A mathematician (Alvaro Lozano-Robledo) posted an AI-generated illustration of configurations disproving the Erdős unit distance conjecture (made with ChatGPT); someone then asked an AI image tool to make variant images "inspired by" the pattern, and the model's reasoning trace claimed it saw "hidden text" reading "you are loved immensely" in the purely mathematical pattern — a hallucinated/confabulated perception, reposted as a striking anecdote. Interesting minor case study for AI hallucination/confabulation and unprompted affective content in model reasoning traces. Mathematicians using ChatGPT 5.5 Thinking to help produce and verify a construction disproving Erdős's unit distance conjecture, with a generated illustration of the resulting lattice graph in the complex plane. Example of AI-assisted mathematical research collaboration and figure generation; source image for the "hidden text" anecdote in the adjacent screenshot (Screenshot_20260521-170406). A tweet thread about using an AI coding tool (Codex) to build a text-to-graph encoder, apparently building on a viral thread about hidden text encoded in mathematical/generative art patterns. Playful, tangential AI-tooling content rather than safety-relevant. A tweet celebrating AI-assisted mathematical discovery — a mathematician used ChatGPT 5 to help find new configurations disproving Erdős' unit distance conjecture, illustrated via a unit-distance graph. Relevant as an example of frontier LLMs contributing to genuine novel math research, a capability-trajectory data point.

ai-hallucinationimage-generationchatgpterdos-conjecturemathhumormodel-behaviormathematicsai-assisted-researchunit-distance-graphtwittercodexgenerative artgraph encodingai toolserdos unit distance conjecturechatgpt 5ai for mathcapability progress