That was a great explanation, particularly the summary at the end with the color-coded words corresponding to terms in the formula.
I came to the comments expecting to see nods of approbation at how cool this explanation was (I stopped taking math at about Calc 3, so no linear algebra for me) but instead I see people geeking out saying things like "to really understand you need to grasp the complex plane, and groups and DPTs and so forth."
Well, just so you know, for me the OP's intutitive explanation was enough.
I came to the comments expecting to see nods of approbation at how cool this explanation was (I stopped taking math at about Calc 3, so no linear algebra for me) but instead I see people geeking out saying things like "to really understand you need to grasp the complex plane, and groups and DPTs and so forth."
Well, just so you know, for me the OP's intutitive explanation was enough.