The writing is cute and the animations are nice, but none of it makes any sense. I stopped reading at
> It is important to remember that bivectors have a certain redundancy built into them in the sense that
s
a
⃗
∧
b
⃗
=
a
⃗
∧
s
b
⃗
s
a
∧
b
=
a
∧s
b
. We can write them using 6 numbers or 3 numbers, but they actually convey 5 degrees of freedom.
Three (real) numbers have three degrees of freedom, by definition. (And nothing about complex numbers was mentioned.) Is this a parody I don’t get? I feel like I have wasted ten minutes on nonsense.
> It is important to remember that bivectors have a certain redundancy built into them in the sense that s a ⃗ ∧ b ⃗ = a ⃗ ∧ s b ⃗ s a ∧ b = a ∧s b . We can write them using 6 numbers or 3 numbers, but they actually convey 5 degrees of freedom.
Three (real) numbers have three degrees of freedom, by definition. (And nothing about complex numbers was mentioned.) Is this a parody I don’t get? I feel like I have wasted ten minutes on nonsense.