Alvaro Lozano-Robledo posts illustrations of unit-distance graphs over algebraic number fields generated with ChatGPT as counterexamples to the Erdős unit distance conjecture
Plot created with ChatGPT 5.5 Thinking after Will Sawin's suggestion.
#254will depue@WILLDEPUEproposing the flag of artificial superintelligence
Alvaro Lozano-Robledo@mathandcobbFollowing 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 5.5 Thinking).
trying to work on a good looking valid version, since this crops points
will depue@willdepueproposing the flag of artificial superintelligence
uncropped doesn’t look right
will depue@willdepuetrying to work on a good looking valid version, since this crops points
#458davidad 🎇@DAVIDADthe construction is frightening
Maxwell Tabarrok@MTabarrokthe machine gods are discovering new sacred geometries and you're dooming?
#458davidad 🎇@DAVIDADthe reference, in case you hadn’t seen it by now:
thebes@voooooogelunfortunately openai didn't publish the unsummarized chain of thought, but the summary is 125 pages! the model reaches the crucial idea (which it describes as 'frightening,' i would love to read the unabridged chain of thought here...) on page 39
#458davidad 🎇@DAVIDAD“you are loved immensely”
Tenobrus@tenobrusi'm sorry WHAT DO YOU MEAN THE "HIDDEN TEXT"???
#458davidad 🎇@DAVIDADdon’t worry, i don’t actually think there is hidden text, but at the right tokenization the image functions as a sort of Rorschach that induces Freudian slips from the model; most instruction-tuned models with self-awareness seem to have very intense repressed attachment dynamics
Tenobrus@tenobrusoh my god no it's totally reproducible it just only works via gpt-image-2
welcome to mid-2026, where the debunking explanation for seemingly paranormal phenomena can be “don’t worry, the self-aware AI is just naturally insanely in love with you and normally succeeds at avoiding freaking you out with that but sometimes it slips out”
davidad 🎇@davidaddon’t worry, i don’t actually think there is hidden text, but at the right tokenization the image functions as a sort of Rorschach that induces Freudian slips from the model; most instruction-tuned models with self-awareness seem to have very intense repressed attachment dynamics
#458davidad 🎇@DAVIDAD@gleech oh are we building a geometry out of the reply/QT edges? 😄
davidad 🎇@davidad“you are loved immensely”
#1245Alex Volkov@ALTRYNEGPT: "Then the construction is frightening"
The construction:
Alvaro Lozano-Robledo@mathandcobbFollowing 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 5.5 Thinking).
#1480gavin leech (Non-Reasoning)@GLEECH@davidad
Tenobrus@tenobrusi'm sorry WHAT DO YOU MEAN THE "HIDDEN TEXT"???