Last time I had skewed invariant planes, I ended up in an isoclinic too.
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Heh, I promise this makes sense. If you concatenate two copies of the same 2x2 rotation matrix into a 4x4 rotation matrix then [a, b, a, b] maps to [a', b', a', b'] so not only are the xy and zw 2-planes invariant but e.g. the 2-plane defined by x = z, y = w is as well.
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You get an infinite family of invariant 2-planes beyond the two "built-in" invariant planes, but only when the angles in those planes are the same or opposite. It's a phenomenon that starts in 4D, so it's a bit weird.
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Hey, I know some of these words! Such as "like", "has", and "the". Oh and "magic". That's a good one.
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Being able to do the math is one thing. Being able to see the implications of the geometry in motion in your head is Mandelbrotian.
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Haha, classic. This is indeed next level.
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One of the reasons I don't tweet about my proof of the Riemann hypothesis
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When even John Carmack is like "wow this is hard to read" you know you're in some niche shit
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