video thumbnail 12:25
Fantastic Quaternions - Numberphile

2016-01-18

[public] 936K views, 25.5K likes, 288 dislikes audio only

Dr James Grime discusses a type of number beyond the complex numbers, and why they are useful.

Extra footage: /youtube/video/ISbJ9S0fzwY

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Quaternions (extra footage) by Numberphile2
/youtube/video/ISbJ9S0fzwY
Support Numberphile creating Videos Adopt a Number!
https://www.patreon.com/numberphile?
rotate in three dimensions
/youtube/video/3BR8tK-LuB0?t=352.45999
multiplying these four dimensional numbers
/youtube/video/3BR8tK-LuB0?t=460.259
rotate an object in three dimensions
/youtube/video/3BR8tK-LuB0?t=490.04999
rotate around that line
/youtube/video/3BR8tK-LuB0?t=519.63
rotate by an angle r theta
/youtube/video/3BR8tK-LuB0?t=573.17999