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Hilbert's Curve: Is infinite math useful?

3Blue1Brown · explainer · Watch on YouTube

Recreational & visual mathPure mathematics

What it is

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 Hacker News recommends it

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

  • 4 people recommended it
  • 4 different months
  • 1 strong recommendations
  • first 2017, last 2024

What HN commenters said

  1. “This is a great video on the Hilbert curve”

    Great video on the Hilbert curve.

    rhart92, 2017-09 · Strong recommendation · in “Mathematicians Measure Infinities, Find They’re Equal”

  2. “Space-filling curves are a sort of optimal mapping strategy for compressing two dimensions down into one.”

    Covers space-filling curves as optimal 2D to 1D mapping.

    joelg, 2017-10 · Recommendation · in “My Sudden Synaesthesia”

  3. “or skip directly to the conclusion;”

    Hilbert curve video by 3Blue1Brown, with a link to the conclusion.

    91aintprime, 2020-03 · Recommendation · in “Landmark computer science proof cascades through physics and math”

  4. “3blue1brown offers some mathematical intuition for the effectiveness of a Hilbert curve pixel arrangement”

    Mathematical intuition for why Hilbert curve pixel arrangement works.

    Cieplak, 2024-01 · Recommendation · in “Visualizing Ext4”

Excerpts from Hacker News comments, linked to the originals. Summaries and labels were written by a language model from those comments.

Topics: hilbert curve, 3blue1brown, mathematics, dimensionality, visualization

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