Example image of eyePlorer eyePlorer map for 'Euclidean plane isometry': Euclidean geometry Geometry Isometry Glide reflection Reflection (mathematics) Rotation (mathematics) Translation (geometry) Euclidean group Function composition Group (mathematics) Mirror image Euclidean distance Euclidean vector Invertible matrix Matrix (mathematics) Orthogonal matrix Transpose Orthogonal group Unit vector Identity (mathematics) Almost surely Degrees of freedom (physics and chemistry) Independence (probability theory) Probability distribution Uniform distribution (continuous) Reflection group Through the Looking-Glass Normal subgroup Rigid body Abelian group Associativity Semigroup Involution Homomorphism Kernel (algebra) Quotient group Direct product Semidirect product Leonhard Euler Lie group Pentagon Symmetry Point group Lattice (group) Tessellation Frieze group Wallpaper group Crystallographic restriction theorem Isomorphism Coordinate rotations and reflections