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THE VIDEO SHELF · space-filling curves

Hilbert's Curve: Is infinite math useful?

3Blue1Brown explains space-filling curves and the Hilbert curve, and how infinite mathematical constructions connect to finite, practical approximations. It touches on mapping between dimensions and sensory ideas.

Why HN readers recommended it

Recommended as the best visual introduction to Hilbert curves, which come up in indexing, image layout and dimensionality mapping.

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

Video & recommendation details

Creator / channel
3Blue1Brown
Topic
space-filling curves
Format
explainer
Level
intro
HN recommenders in dataset
4
HN mentions in dataset
6
Recommendation years in dataset
2017–2024

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.

  • I am not sure if you have heard of them, but space-filling curves are a way to demonstrate this. This is a great video on the Hilbert curve [VIDEO]

    rhart92 on Hacker News · 2017-09
    In Mathematicians Measure Infinities, Find They’re Equal
  • This is actually exactly the topic of the 3Blue1Brown video on Hilbert Curves: [VIDEO] Space-filling curves are a sort of optimal mapping strategy for compressing two dimensions down into one.

    joelg on Hacker News · 2017-10
    In My Sudden Synaesthesia
  • Hilbert's curve: Is infinite math useful? by 3blue1brown [VIDEO] or skip directly to the conclusion; [VIDEO]

    91aintprime on Hacker News · 2020-03
    In Landmark computer science proof cascades through physics and math

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