laszlokorte 在旋转可视化项目中收到反馈后，承认把反射理解为围绕向量发生，无法正确推广到三维。他准备改用平面来重新组织演示。公开讨论的价值，有时就是帮助作者找到解释中的错误。
原文节选源讨论Show HN: Rotation via Double Reflection“Oh, you are right. My 3d example is bad indeed. Thanks for pointing it out. I think my mistake from the very beginning was”
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The dimension section triggered my “vague math” spider sense: > During this zic-zac motion across the plane the vector still rotates along the plane in the except same ways as in the 2d case above. What is “the plane”? In 2D there is one single plane. In 3D every rotation rotated within a 2D plane and preserves the projection of the original vector to the orthogonal complement of the plane (which is just the distance from the plane and which side the original point is on). In 4D and up, sorry, all of our nice 3D human intuition is wrong. You can rotate in two planes at once, and that’s not equivalent to a rotation in any given plane. And inde…
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