rotatn_is_reflected_translatns.pdf is a pdf of a little diagram I created this morning, where I muse with the ideas of transformations and how we can express Rotations (and circularity or curvature) using “not” – the ‘omni-dimensional’ Reflection (how would you describe a zero-yet-infinity-dimensional thing? “multi-“? or “trans-“?).
I don’t know why I called those vectors in the diagram ‘rays’ – they’re vectors which describe a translation transformation.
If this is right, why would we need ‘curved’ non-Euclidean spaces?