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Times Tables, Mandelbrot and the Heart of Mathematics

Mathologer · 2.8M views · 2015-11-06 · 13:37

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Overview

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.

On Hacker News

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

Recommended by 4 HN people across 4 months · HN mentions 2017–2023

Topics

Recreational & visual mathPure mathematics
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cardioidmandelbrot setmodular arithmeticmathologergeometry

What people said

photochemsyn · 2023-04 · Recommendation

Grasping the concept of number regardless of base system is an interesting exercise (linked to modular arithmetic), see Mathologer on times tables in any number base: [VIDEO]

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csbuja · 2020-06 · Recommendation

Check out some of the png files to view the art! This YouTube video explains the algo behind what you're seeing. [VIDEO]

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espeed · 2019-07 · Recommendation

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 of Mathematics" [video] [VIDEO] [LINK] NB: And once again we find cycloids hiding underneath it all.

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Sources

Video by Mathologer, played through YouTube.

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