[HN Gopher] Visualizing quaternions: An explorable video series ...
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       Visualizing quaternions: An explorable video series (2018)
        
       Author : uncircle
       Score  : 73 points
       Date   : 2025-08-09 08:20 UTC (4 days ago)
        
 (HTM) web link (eater.net)
 (TXT) w3m dump (eater.net)
        
       | dang wrote:
       | Related. Others?
       | 
       |  _Visualizing quaternions (2018)_ -
       | https://news.ycombinator.com/item?id=38043644 - Oct 2023 (42
       | comments)
       | 
       |  _Visualizing quaternions: an explorable video series (2018)_ -
       | https://news.ycombinator.com/item?id=31083042 - April 2022 (15
       | comments)
       | 
       |  _Visualizing quaternions: An explorable video series_ -
       | https://news.ycombinator.com/item?id=18310788 - Oct 2018 (32
       | comments)
        
         | gnabgib wrote:
         | _Show HN: Visualizing the math that powers 3D character
         | animation_ (238 points, 2022, 53 comments)
         | https://news.ycombinator.com/item?id=31724613
        
       | calebm wrote:
       | Wow, this is very cool.
        
       | JKCalhoun wrote:
       | Very cool.
       | 
       | On MacOS: no audio on Safari, worked in Chrome though.
       | 
       | I was odd to me to see that Ben Eater was involved. His talents
       | are broad.
        
       | srean wrote:
       | Questions for mathematicians out here.
       | 
       | Is there such a thing as quaternion analysis -- calculus of
       | functions from quaternions to quaternions.
       | 
       | What would be their key theorems ? What would be the analogue of
       | conformal mappings, if any ?
       | 
       | Any book recommendations would be gratefully appreciated.
        
         | Koshkin wrote:
         | I am not familiar with this area, but see, e.g.
         | https://link.springer.com/book/10.1007/978-3-0348-0622-0
         | 
         | There are also these notes:
         | https://www.geometrictools.com/Documentation/Quaternions.pdf
        
           | srean wrote:
           | Thanks a bunch
        
         | xeonmc wrote:
         | A quaternion encodes uniform scaling + rotation. The logarithm
         | of a quaternion is its axis-angle-nepers form, and vice versa.
         | quat = sqrt( exp( nepers + radians * <axis> ) )
         | 
         | So I think with this exponential map, the rest of its calculus
         | can be extended from that.
        
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       (page generated 2025-08-13 23:02 UTC)