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Euclidean planes in three-dimensional space

In Euclidean geometry, a plane is a flat two-dimensional surface that extends indefinitely. Euclidean planes often arise as subspaces of three-dimensional space R 3 {\displaystyle \mathbb {R} ^{3}} . A prototypical example is one of a room's walls, infinitely extended and assumed infinitesimally thin. While a pair of real numbers R 2 {\displaystyle…

Background, Operations & Occurrence in nature