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@prof_g • 24,090 subscribers

Robert Ghrist = mathematician; engineer; educator; assoc. dean of undergraduate education Penn Engineering; illustrator; animator; acta non verba

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my 5-stages-of-grief for math was early 2025. even then one could vibe-prove with a good prompt. this nudged me to work on a research project that was unambiguously human: inventing new visual paradoxes. machine intelligence will eventually (but not yet) excel at this too.

my 5-stages-of-grief for math was early 2025. even then one could vibe-prove with a good prompt. this nudged me to work on a research project that was unambiguously human: inventing new visual paradoxes. machine intelligence will eventually (but not yet) excel at this too.

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visual representation of choosing a phd thesis topic

visual representation of choosing a phd thesis topic

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can AI do research-level mathematics? make conjectures? prove theorems? there’s a moving frontier between what can and cannot be done with LLMs. that boundary just shifted a little. this is my experience with AI proving a new theorem. 1/
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can AI do research-level mathematics? make conjectures? prove theorems? there’s a moving frontier between what can and cannot be done with LLMs. that boundary just shifted a little. this is my experience with AI proving a new theorem. 1/

prof-g

355,959 Aufrufe • vor 1 Jahr

this video (gears on a mobius strip) has a weird illusion. because the entire strip is rotating, alternating gears seem to be turning faster/slower, even though they must have the same rotation speed to mesh.
0:20
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this video (gears on a mobius strip) has a weird illusion. because the entire strip is rotating, alternating gears seem to be turning faster/slower, even though they must have the same rotation speed to mesh.

prof-g

43,162 Aufrufe • vor 6 Monaten

taught my students how to analyze chaotic dynamics via the geometric lorenz attractor this week... such a beautiful branched surface...
0:30
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taught my students how to analyze chaotic dynamics via the geometric lorenz attractor this week... such a beautiful branched surface...

prof-g

44,147 Aufrufe • vor 9 Monaten

the 1st video of my series w/ on Foundations of Topological Data Analysis is up on YouTube. it's about combinatorial simplices & simplicial complexes. (link below)
0:25
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the 1st video of my series w/ on Foundations of Topological Data Analysis is up on YouTube. it's about combinatorial simplices & simplicial complexes. (link below)

prof-g

92,750 Aufrufe • vor 3 Jahren

circles encircling circles... (this took an entire day to render... 🥲) (it's ya boi, the hopf fibration of the 3-sphere...)
0:40
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circles encircling circles... (this took an entire day to render... 🥲) (it's ya boi, the hopf fibration of the 3-sphere...)

prof-g

15,959 Aufrufe • vor 2 Jahren

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