# Gradient Damage

> Maths you can see. Equations you can hear. An independent YouTube channel and site: 3D maths animations with synthesized sound, and one page for each of the 372 mathematical results OpenAI says its AI proved (its public catalogue, github.com/openai/math, September to October 2026). Not affiliated with OpenAI.

Every result page quotes OpenAI's own one-paragraph summary, links the preprint PDFs with their abstracts, states that the result is a preprint and not peer reviewed, and embeds the channel's Short once it is public. Write-ups explain the problem, its history, what OpenAI claims and what is still unchecked. Video pages carry the YouTube description, chapters and, where uploaded, the transcript. Quote with a link; animations illustrate results and are never proofs.

## OpenAI Math

- [All 372 results, by subject](https://gradientdamage.com/openai-math/)
- [Theoretical computer science (40)](https://gradientdamage.com/openai-math/theoretical-computer-science/)
- [Combinatorics (37)](https://gradientdamage.com/openai-math/combinatorics/)
- [Algebraic and complex geometry (36)](https://gradientdamage.com/openai-math/algebraic-and-complex-geometry/)
- [Number theory (31)](https://gradientdamage.com/openai-math/number-theory/)
- [Differential geometry (29)](https://gradientdamage.com/openai-math/differential-geometry/)
- [Probability and statistical mechanics (29)](https://gradientdamage.com/openai-math/probability-and-statistical-mechanics/)
- [Mathematical physics (25)](https://gradientdamage.com/openai-math/mathematical-physics/)
- [Operator algebras (19)](https://gradientdamage.com/openai-math/operator-algebras/)
- [Algebra (18)](https://gradientdamage.com/openai-math/algebra/)
- [Topology (18)](https://gradientdamage.com/openai-math/topology/)
- [Partial differential equations (16)](https://gradientdamage.com/openai-math/partial-differential-equations/)
- [Real and complex analysis (16)](https://gradientdamage.com/openai-math/real-and-complex-analysis/)
- [Convex and metric geometry (15)](https://gradientdamage.com/openai-math/convex-and-metric-geometry/)
- [Group theory (14)](https://gradientdamage.com/openai-math/group-theory/)
- [Dynamical systems and ergodic theory (12)](https://gradientdamage.com/openai-math/dynamical-systems-and-ergodic-theory/)
- [Functional analysis (11)](https://gradientdamage.com/openai-math/functional-analysis/)
- [Mathematical logic (6)](https://gradientdamage.com/openai-math/mathematical-logic/)

## Write-ups

- [The Harary–Hill conjecture: why 18 dots need 1,008 crossings](https://gradientdamage.com/openai-math/harary-hill-conjecture/): The Harary–Hill conjecture gives the fewest crossings when every dot is joined to every other. OpenAI reports a proof for every n. What it says, and what is still unchecked.

## Videos

- [All 50 videos](https://gradientdamage.com/videos/)
- [OpenAI Math](https://gradientdamage.com/series/openai-math/): Short visual explainers of the maths results OpenAI says its AI has proved. Each animation illustrates the statement; it is not the proof.
- [Visual Math & 3D Animations](https://gradientdamage.com/series/visual-math-3d-animations/): Visual maths, geometry and sound brought to life in original 3D animations. Explore pi, mathematical functions, sonification and shapes in short videos from Gradient Damage.
- [YouTube channel](https://www.youtube.com/@gradientdamage)

## Data

- [results.json](https://gradientdamage.com/openai-math/results.json): every result with its claim, papers, page and video
- [videos.json](https://gradientdamage.com/videos/videos.json): every video with its description, chapters and results
- [Sitemap](https://gradientdamage.com/sitemap.xml), [Atom feed](https://gradientdamage.com/feed.xml), [About and methods](https://gradientdamage.com/about/)

## Optional

- [llms-full.txt](https://gradientdamage.com/llms-full.txt): every result and video on one page