Example image of eyePlorer eyePlorer map for 'Euclidean group': Euclidean space Mathematics Symmetry group Isometry Metric (mathematics) Group (mathematics) Degrees of freedom (physics and chemistry) Rotational symmetry Translational symmetry Orientation (mathematics) Rigid body Rotation Translation (geometry) Coset Index of a subgroup Reflection (linear algebra) Universal quantification Classical mechanics Curve Identity function Calculus Determinant Lie group Topological group Affine group Semidirect product Column vector Matrix (mathematics) Orthogonal matrix Affine geometry Erlangen program Euclidean geometry Felix Klein Angle Distance Affine transformation Orthogonal group Normal subgroup Index (mathematics) Quotient group Improper rotation Mirror Origin (mathematics) Reflection (mathematics) Finite group Discrete space Space group Rotation group Dihedral group Euclidean plane isometry