3 ms·
So in 3d that becomes 3(2)/2 = 3. Quaternions have 4 parts. That's what has always made it hard for me to understand.
by UlyssesSKrunk 10y ago
So in 3d that becomes 3(2)/2 = 3. Quaternions have 4 parts. That's what has always made it hard for me to understand.
- Sharlin 10y agoAnd in 2D it is 1 but complex numbers have two parts. As I tried to explain, there's simply some redundancy in the representations because it's just unit complex numbers/quaternions that we're interested in. We accept that because it makes the math prettier. Heck, matrices, the de facto standard for representing rotations, have much more redundancy - four and nine elements in 2D and 3D respectively.