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laszlokorteHNSource authorAug 23

Lessons learnedEditorial digest

A useful correction starts with admitting the model is wrong

After feedback on a rotation visualization, laszlokorte acknowledges that treating reflections around vectors did not generalize correctly to 3D. They plan to rework the example around planes. A small example of public feedback improving a technical explanation.

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“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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Original discussionShow HN: Rotation via Double Reflection

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amlutoHNAug 22

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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