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prof-g

@prof_g • 24,203 subscribers

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

Shorts

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.

21,440 Aufrufe

everybody talking about the rotating arrow, but this is the one that really breaks my brain...

everybody talking about the rotating arrow, but this is the one that really breaks my brain...

10,564 Aufrufe

visual representation of choosing a phd thesis topic

visual representation of choosing a phd thesis topic

20,448 Aufrufe

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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/

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/

356,025 Aufrufe • vor 2 Jahren

odd number of gears? need 'em to spin in a cycle? gotchu covered... (not sure an image/vid model can do this...)

odd number of gears? need 'em to spin in a cycle? gotchu covered... (not sure an image/vid model can do this...)

19,620 Aufrufe • vor 1 Monat

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.

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.

43,162 Aufrufe • vor 8 Monaten

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

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

44,147 Aufrufe • vor 11 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)

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)

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...)

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

15,967 Aufrufe • vor 2 Jahren

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