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THE VIDEO SHELF · high-dimensional geometry

Hamming, "n-Dimensional Space" (April 14, 1995)

Richard Hamming's 1995 lecture on n-dimensional space, showing how geometric intuition about spheres and cubes breaks down in high dimensions. It is part of his course on learning to learn.

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Why HN readers recommended it

Recommended as the source for counterintuitive high-dimensional geometry and described as an eye opener.

This is a summary from the source dataset, not an endorsement by Hacker News or the video creator.

Video & recommendation details

Creator / channel
securitylectures
Topic
high-dimensional geometry
Format
lecture
Level
intermediate
HN recommenders in dataset
3
HN mentions in dataset
3
Recommendation years in dataset
2022–2024

These counts and years describe the included Hacker News records; they are not YouTube views or the video’s publication date.

From the original HN conversations

Excerpts from the recorded comments. Follow each source for the full comment and surrounding discussion.

  • One cannot intuitively think about higher than 3 dimensions. Even for most their intuition is often wrong in 3D space. It's quite accurate for 1D and 2D. Richard Hamming has a whole section lecture to make everyone realize precisely this [1]. This was an eye …

    bgnn on Hacker News · 2024-09
    In How does cosine similarity work?

  • To add to this list: Richard Hamming includes a section on this in his n-dimensional spaces talk from "The Art of Doing Science and Engineering" lectures [0]. Stripe Press also recently re-published a beautiful copy of the print version of these lectures [1]. 0. [VIDEO] …

    it_does_follow on Hacker News · 2022-01
    In A high-dimensional sphere spilling out of a high-dimensional cube

  • A good chunk of this comes directly from Richard Hamming's incredible The Art of doing Science and Engineering (a video of the specific lecture on n-dimensional spaces can be found here[0]) and yet I see no mention of this talk anywhere in the article, which …

    time_to_smile on Hacker News · 2023-05
    In Counterintuitive Properties of High Dimensional Space

Summaries, classifications and recommendation records are from the HackerTube source dataset. Read about this library and its limitations.

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