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Times Tables, Mandelbrot and the Heart of Mathematics

Mathologer · explainer · Watch on YouTube

Recreational & visual mathPure mathematics

What it is

Mathologer shows how times table diagrams on a circle produce cardioids and other curves connected to the Mandelbrot set. He explains the patterns and links to a tool for making your own diagrams.

Why Hacker News recommends it

HN recommends it as the clearest explanation of the patterns behind modular multiplication diagrams and times table art.

  • 4 people recommended it
  • 4 different months
  • 0 strong recommendations
  • first 2017, last 2023

What HN commenters said

  1. “Check out for some insight based on a related type of diagram”

    Gives insight into moire-like patterns in related diagrams.

    jacobolus, 2017-10 · Recommendation · in “Beauty in Mathematics: Modular Multiplication Tables”

  2. “Then watch this”

    Explains the patterns behind modular multiplication sequences.

    espeed, 2019-07 · Recommendation · in “Powers of Two in Lexicographic Order”

  3. “This YouTube video explains the algo behind what you're seeing.”

    Explains the algorithm behind the art.

    csbuja, 2020-06 · Recommendation · in “Times Tables Can Make Beautiful Art”

  4. “see Mathologer on times tables in any number base”

    Times tables in any number base.

    photochemsyn, 2023-04 · Recommendation · in “Number System Invented by Inuit Schoolchildren Makes Its Silicon Valley Debut”

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

Topics: cardioid, mandelbrot set, modular arithmetic, mathologer, geometry

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