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@prof_g • 24,203 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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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...

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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/
0:20
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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

356,025 просмотров • 2 лет назад

odd number of gears? need 'em to spin in a cycle? gotchu covered... (not sure an image/vid model can do this...)
0:20
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odd number of gears? need 'em to spin in a cycle? gotchu covered... (not sure an image/vid model can do this...)

prof-g

19,620 просмотров • 1 месяц назад

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 просмотров • 8 месяцев назад

taught my students how to analyze chaotic dynamics via the geometric lorenz attractor this week... such a beautiful branched surface...
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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 просмотров • 11 месяцев назад

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 просмотров • 3 лет назад

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

15,967 просмотров • 2 лет назад

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