You are welcome to propose additional items to this colletion of links:
Symmetry and Symmetry Breaking (Stanford Encyclopedia of Philosophy)
History of Symmetry (further links)
Point Group Symmetry
Groups of Rotation and Translation in the Plane
Symmetry, Crystals, Tiling and Polyhedra (further links)
Tiling from mathematical and historical viewpoint
Patterns and tilings
Patterns from the Alhambra
Escher-like tessellations (Original tessellations by David Bailey)
GAP package Cryst: Computing with crystallographic groups
GAP package Carat: Interface to CARAT, a crystallographic groups package
GAP package CrystCat: The crystallographic groups catalog
Defects in Crystals
Symmetries of inorganic molecules
Mathematics in Art and Architecture
Design, Science and Art (R. Takaki)
Spacial structures after Möbius, Eshcer and Penrose
Culturally Situated Design Tools
Symmetry: Dimensions of Partricle Physics
Symmetries of particles
Symmetries in the Natural forces
Discover the symmetries of particles
Noether symmetries
Symmetries of geometric figures
Symmetry and the Shape of Space (Chaim Goodman-Strauss)
The Geometry Junkyard (Symmetry and Group Theory)
Genetic code’s symmetries