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I thought they originally teleported, but I was recently informed it was actually tetris blocks.
When my dad and grandpa were teaching me how to play chess, they told me that the knight moves in a "G" pattern. I could not for the life of me figure out how a G maps to what they showed me, so I figured out that it goes one diagonal, and then eitger one up if the diagonal was up, one down if it was down and the same reasoning for left and right. That's still how I visualize it.
Years later I realized that they meant the cyrillic G, which looks like this: Γ...
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Ha. They got you. My dad taught that it's 2 spots in one (cardinal) direction, then 1 spot in another direction (demonstrating that the other direction has to be 90° to the original direction).
The first one because it represents a charging horse hitting someone off to their side with a lance.
This, only I do one diagonal and then one straight.
It weirds me out that people conceptualize it as turning a corner, the way OP has here.
This has blown my brain. I have never considered doing the diagonal first.
But then, my entire life I mounted a bicycle from the left, right leg over first. It occurred to me I did this so tried to mount my bike from the opposite direction. After finally figuring out how to even move my left left over the bars, I then fell over.
So based purely on this experience, I shall continue to do forward, followed by diagonal.
I'm still trying to get into the zone where I can just teleport to the correct squares without having to think about it.
Last time I rode a bicycle I almost wound up in a duck pond, so based on that experience I'm probably doomed to be a patzer for life. :-)
This is how they move in Xiangqi, Chinese Chess, because if the one straight in front of them is blocked, the move is illegal.
I draw a circle sqrt(5) units in radius, then pick a target square based on whether that circle goes through the exact center of the square.
Left 5, up 2, right 4, for example. If there's not enough space on the board to do that, I can't move the horsey that way