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Rediscovering Quaternions

jasonfantl.com

1–10 of 72 posts

Re: Rediscovering Quaternions

#4

Not detracting from this post, but has anyone else noticed there's a front page post about Quaternions or Kalman filters on about a monthly cadence? Wonder why that is?

I have noticed too that HN has an enduring fascination with quaternions, and they seem to reach front page surprisingly frequently (considering that there's not a huge amount of discussion of other geometry topics). I'm certainly not complaining though - I love quaternions too!

Re: Rediscovering Quaternions

#6
If I had to describe Quaternions to someone I would first try to explain a Plane (Ax + By + Cz + D = 0) to them. ABC being a (normal) direction that the Plane is pointed towards and D being the distance from the origin.

A Quaternion from what I believe is just the same but instead of distance it just encodes the rotation around that direction as a fixed axis. (Instead the angle stored is half etc).

Feel free to correct me if I'm wrong, I'm not a math-heavy person.

Re: Rediscovering Quaternions

#7

Not detracting from this post, but has anyone else noticed there's a front page post about Quaternions or Kalman filters on about a monthly cadence? Wonder why that is?

Because quaternions are awesome? :) it definitely feels like a discovery when you learn about them first.

Re: Rediscovering Quaternions

#8

If I had to describe Quaternions to someone I would first try to explain a Plane (Ax + By + Cz + D = 0) to them. ABC being a (normal) direction that the Plane is pointed towards and D being the distance from the origin. A Quaternion from what I believe is just the same but instead of distance it just encodes the rotation around that direction as a fixed axis. (Instead the angle stored is half etc). Feel free to corre…

If you a explaining this to the average American, you are going to have to start a bit further back than a "Plane".

Re: Rediscovering Quaternions

#9

Not detracting from this post, but has anyone else noticed there's a front page post about Quaternions or Kalman filters on about a monthly cadence? Wonder why that is?

Maybe because it intersects deeply with game dev?

yes, that's the module i learnt about them in during college.

IMHO I think for me they're interesting because it felt like mathematically they straddle the line of being nearly impossible for me.

I could just barely do them and felt very accomplished when I could. Anything else was either impossible or easy by comparison.

assuming my maths skills are average here then most people have similar experiences with them.

Re: Rediscovering Quaternions

#10

If I had to describe Quaternions to someone I would first try to explain a Plane (Ax + By + Cz + D = 0) to them. ABC being a (normal) direction that the Plane is pointed towards and D being the distance from the origin. A Quaternion from what I believe is just the same but instead of distance it just encodes the rotation around that direction as a fixed axis. (Instead the angle stored is half etc). Feel free to corre…

If you a explaining this to the average American, you are going to have to start a bit further back than a "Plane".

Think of a fraction as a pizza. The bottom number is how many slices the pizza has, and the top number is the slices that you are going to eat. Sally will eat the rest, so you need to leave some for her.
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