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Fractals are typically not self-similar

3Blue1Brown · explainer · Watch on YouTube

Recreational & visual mathPure mathematics

What it is

3Blue1Brown explains fractal dimension and shows why many fractals are not strictly self-similar. Self-similarity turns out to be a special case of the broader idea of fractional dimension.

Why Hacker News recommends it

It is the standard pointer for a clear, visual explanation of what fractals are, and for correcting the idea that fractal means self-similar.

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

What HN commenters said

  1. “Here is are two very clear explanations of fractal dimension by the man himself, Grant from 3b1b.”

    Very clear explanation of fractal dimension by Grant of 3b1b

    SavantIdiot, 2021-07 · Strong recommendation · in “A Closer Look at Fractals”

  2. “Here is an excellent 20 min introduction to fractals”

    A 20 minute introduction to fractals

    FullMtlAlcoholc, 2017-08 · Recommendation · in “The Hindu Temple as a Model of Fractal Cosmology (2015)”

  3. “3Blue1Brown has a great video on the dimensionality of fractals [0] that is useful here.”

    Explains the dimensionality of fractals

    Balgair, 2019-04 · Recommendation · in “Ford CEO says the company 'overestimated' self-driving cars”

  4. “Which also nicely and conclusively shows why self-similarity is just a special case of things that have fractional dimension.”

    Shows self-similarity is a special case of fractional dimension

    jerf, 2019-12 · Recommendation · in “Recursion and Fractals”

  5. “This is a more detailed explanation of what fractals actually are”

    Detailed explanation of what fractals are and what 'fractals in nature' means

    jameshart, 2020-02 · Recommendation · in “Cellular Automata in the Browser”

  6. “3blue1brown has some good fractal videos”

    Relevant 3b1b fractal video on self-similarity

    coremoff, 2023-05 · Recommendation · in “Fern leaves and cauliflower curds are not fractals”

  7. “If you want to learn more about the fascinating world of fractals.”

    Learn about the world of fractals

    jrvieira, 2024-11 · Recommendation · in “The Matrix: Infinite-Horizon World Generation with Real-Time Interaction”

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

Topics: fractal dimension, self-similarity, 3blue1brown, mathematics, visual math

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