Euclidean space Euclidean group The Euclidean group E(π) is the isometry group of π-dimensional Euclidean space πΌπ, affine consisting of transformations that preserve Euclidean distance. It is equivalent to the semidirect product of the appropriate real orthogonal group with the translation group E(π)=O(π)ββπ Related groups The relativistic counterpart is the PoincarΓ© group develop | en | SemBr