Skip to content
0:00 / 0:00

#quaternions#complexnumbers#3dmath

Fantastic Quaternions - Numberphile

Numberphile

4.7M subscribers • 28 videos on Hallway

YouTube
  • Recommended by 3 people: 3 on Hacker News.
  • Presented by Dr James Grime

Beginner. No background in the topic needed.

1.1M views10 years ago3 recommendations

Graphics and audioComputer scienceMath for programmersRenderingGame programming

James Grime introduces quaternions, explaining how they extend complex numbers and why they are useful for representing 3D rotations.

Dr James Grime discusses a type of number beyond the complex numbers, and why they are useful. Extra footage: youtu.be/ISbJ9S0fzwY More links & stuff in full description below ↓↓↓ Support us on Patreon: patreon.com/numberphile NUMBERPHILE Website: numberphile.com/ Numberphile on Facebook: facebook.com/numberphile Numberphile tweets: twitter.com/numberphile Subscribe: bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: reddit.com/r/BradyHaran/ Brady's latest videos across all channels: bradyharanblog.com/ Sign up for (occasional) emails: eepurl.com/YdjL9 Numberphile T-Shirts: teespring.com/stores/numberphile Other merchandise: store.dftba.com/collections/numberphile Special thanks to these supporters: Jeff Straathof Christian Cooper Peggy Youell Ken Baron Today I Found Out Roman Urbanovski Mehdi Razavi John Buchan Bill Shillito Andrzej 'Yester' Fiedukowicz Susan Silver Lê OK Merli Spiked Math RexDex Thomas Buckingham Peter Kær Henry Reich George Greene Arnas Paul Bates Michael Surrago plusunim Tracy Parry Stan Ciprian Mark Klamerus Keith Vertrees Tyler O'Connor Kristian Joensen Valentin James P Buckley Michael

Why it's here

3 people recommend this

What people say. Recommended as a simple and intuitive introduction to quaternions for programmers working with 3D math.

skapadiaon Hacker News • Recommends

On “Calculus Learning Guide”

Kalid - also your explanation of complex numbers is absolutely amazing. Sure I could manipulate them by memorizing rules, but I never really knew what they meant or why they were important. I also love the Numberphile explanation of quaternions (building up from real to complex numbers, etc.) - link to this video -Sujan

codesushi42on Hacker News • Recommends

On “Quaternions: the Strange Numbers That Birthed Modern Algebra”

Numberphile's explanation of Quaternions is the simplest I have seen so far: link to this video Quaternions are very important to know if you are doing any kind of 3D math. For instance, game programming or SLAM for robotics.

Tempest1981on Hacker News • Recommends

On “Visualizing quaternions: An explorable video series”

This video might be easier to grasp: Fantastic Quaternions - Numberphile link to this video It also helped me to have a use-case in mind —- a motivation. Like maybe using the accelerometer/compasss in your phone to perform image stabilization or AR.