Another way to see the it is to explore it from the matrix exponential structure and the link with trig (esp odd/even functions) or example this video: https://

Another way to see the it is to explore it from the matrix exponential structure and the link with trig (esp odd/even functions) or example this video: https://www.youtube.com/watch?v=UWrt9Fj80Kc&list=PLlXfTHzgMRUKXD88IdzS14F4NxAZudSmv&index=131 https://www.youtube.com/watch?v=UWrt9Fj80Kc&list=PLlXfTHzgMR... so much structure even in 2x2 rotations