nLab reflection at a hyperplane


This entry is about the concept in geometry/physics/linear algebra. For other notions of reflection in mathematics, see reflection.



Given a hyperplane in a Euclidean space, then reflection at that hyperplane is the operation that sends each point to its mirror image at that hyperplane, the result of translating the point in the direction perpendicular to the hyperplane by twice its distance to the hyperplane.

Created on November 17, 2022 at 16:50:41. See the history of this page for a list of all contributions to it.