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THE VIDEO SHELF · times table patterns

Times Tables, Mandelbrot and the Heart of Mathematics

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 HN readers recommended it

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

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

Video & recommendation details

Creator / channel
Mathologer
Topic
times table patterns
Format
explainer
Level
general
HN recommenders in dataset
4
HN mentions in dataset
4
Recommendation years in dataset
2017–2023

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.

  • There’s not really a reasonable continuous analog, IMO (unless you just want to see a single solid blob, like in your picture, but that hides all of the interesting part of the structure). But there are moiré-like patterns. Check out [VIDEO] for some insight based …

    jacobolus on Hacker News · 2017-10
    In Beauty in Mathematics: Modular Multiplication Tables
  • How does that work? ... Explanations invited. Hold the 1 fixed. Notice in both sequences the remaining numbers are 3 interleaved ordered sets, in multiples of 2. Then watch this (just happened to post it two hours ago too)... "Times Tables, Mandelbrot and the Heart …

    espeed on Hacker News · 2019-07
    In Powers of Two in Lexicographic Order
  • Check out some of the png files to view the art! This YouTube video explains the algo behind what you're seeing. [VIDEO]

    csbuja on Hacker News · 2020-06
    In Times Tables Can Make Beautiful Art

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