An interactive introduction to rotors from geometric algebra (2018)

An interactive introduction to rotors from geometric algebra (2018)(marctenbosch.com)

39 points by kjeetgill 1 year ago | 3 comments

dang 1 year ago |

Related. Others?

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kjeetgill 1 year ago |

I'm pretty soft on this subject but one thing that's always bugged me when I see bivectors represented as a parallelograms is that different coplanar parallelograms of the same area are the same bivector algebraically but visually very different. It just feels confusing when you're trying to learn what it "is".

nh23423fefe 1 year ago | |

Isn't that just inherent in binary operations? I feel like you are saying the same thing as: What is 0 sometimes people write 1-1 or 3-3 or -10+10.

by the linearity of ^, B = a^b = 1 * a^b = x*(x^-1) a^b = xa ^ (x^-1)b

So the bivector is the "hyperbola" of all touching parallelograms just like 0 is the set of all oppositely directed arrows of equal magnitude.

But the parallelograms only become a bivector after you wedge them. not before.