Example image of eyePlorer eyePlorer map for 'Symmetry group': Function composition Group (mathematics) Image Invariant (mathematics) Isometry Signal (electronics) Symmetry Isometry group Subgroup Euclidean geometry Wallpaper group Group action Glide reflection Improper rotation Chirality (mathematics) If and only if Orientation Fixed point (mathematics) Orthogonal group Continuous symmetry Lie group Euclidean group Closed set Semidirect product One-dimensional symmetry group Cyclic group Dihedral group Dihedral group of order 6 Swastika Triskelion Klein four-group Reflection symmetry Regular polygon Degrees of freedom (physics and chemistry) Absolute value Circle group Complex number Crystallographic restriction theorem Point groups in three dimensions Bottle Scalar field Cylindrical coordinate system Vector field Helix Screw axis Automorphism Mapping Mathematical structure Erlangen program Invariant