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Darts in Higher Dimensions (with 3blue1brown) - Numberphile

Numberphile · 2.2M views · 2019-11-17 · 32:11

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Overview

Numberphile talks with Grant Sanderson of 3Blue1Brown about a darts puzzle with a shrinking bullseye. Solving it takes the volumes of high-dimensional spheres, and the answer turns up Euler's number.

On Hacker News

Used as a friendly example of high-dimensional geometry showing up in a simple problem, and of ball volume shrinking inside a hypercube.

Recommended by 1 HN people across 1 months · HN mentions 2021–2023

Topics

Recreational & visual mathProbability & game theory
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hypersphereseuler's numberpuzzlesprobability3blue1brown

What people said

jstx1 · 2023-05 · Recommendation

You can and as the dimensions go up the volume of the inscribed ball as a percentage of the volume of the hypercube shrinks down a lot. There's a nice video about this from Numberphile and 3blue1brown - [VIDEO]

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gorloth · 2022-01 · Reference

Higher dimensional geometry can show up in lower dimensional problems. This numberphile video ( [VIDEO] ) involves a puzzle about throwing darts at a dart board which is solved by using the volumes of 4+ dimensional spheres.

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jhncls · 2021-11 · Reference

In a unique Numberphile video featuring Grant Sanderson (3blue1brown), this weird number pops up in a game of darts. [0] [VIDEO]

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Sources

Video by Numberphile, played through YouTube.

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