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Symmetries are integral aspects of nature and natural phenomena. The Sun and Moon appear disc shaped to the naked eye and closely resemble a sphere in physical shape. The horizon appears round, representing the outline of the Earth’s spherical silhouette. The heavenly objects follow a symmetrical path—there is day after night and night after day the seasons follow a periodic pattern, where the rains follow prolonged dryness and are then followed by dreary winter and spring and low tides follow high tides as time flows. Symmetry is inherently expressed in all living beings with variegated forms and nuances. The corolla of a flower follows a geometric symmetry. Symmetry is also present in patterns on snowflakes, where spherical droplets are condensed together in a certain shape, often resulting in sixfold radial symmetry. Symmetries are also observed in sand dune shapes, shell patterns, bird feathers and organ shapes, which are all beautiful examples of symmetries. Symmetry in crystals is well-known and primarily determines the structure of the majority of solids. For example, quasi-crystals are special kinds of crystals made of symmetric patterns that do not get repeated.
Symmetries and conservation theorems
Spontaneous symmetry breaking
Explicit symmetry breaking and electromagnetic radiation
Symmetry breaking in transformation of force fields
Piezoelectric antennas
Radiation from a superconducting loop
Broken symmetries in thermodynamics