Mostly these sentences. QuillBot finds these are 100% AI-generated, but I'm not sure how much we can trust it.

> While exploring this question, I discovered something unexpected that led to an interesting collaboration with Grant and a deeper understanding of vector space geometry.

> When I shared these findings with Grant, his response exemplified the collaborative spirit that makes the mathematics community so rewarding. He not only appreciated the technical correction but invited me to share these insights with the 3Blue1Brown audience. This article is that response, expanded to explore the broader implications of these geometric properties for machine learning and dimensionality reduction.

> The fascinating history of this result speaks to the interconnected nature of mathematical discovery.

> His work consistently inspires deeper exploration of mathematical concepts, and his openness to collaboration exemplifies the best aspects of the mathematical community. The opportunity to contribute to this discussion has been both an honor and a genuine pleasure.

I don't know how to express it, maybe it's because I'm not a native English speaker, but my brain has become used to this kind of tone in AI-generated content and I find it distracting to read. I don't mean to diminish this blog post, which is otherwise very interesting. I'm just pointing out an increasing (and understandable) trend of relying on AI to "improve" prose, but I think it sometimes leads to a uniformity of style, which I find a bit sad.