Origin • Greeks • Copernicus & Kepler • 19th century • 20th century
Painting Sculpture Music Literature Architecture
Harmony of the Spheres Dogma of the Circles
Copernicus (1473-1543) Kepler (1571-1630)
Six planets: Saturn, Jupiter, Mars, Earth, Venus, Mercury
Choose some mathe- matical regularity resulting from symmetry require- ments.(b) Match it to observed regularity.
Discussed why snow flakes are 6-sided • Albertus Magnus:+1260 • In China: -135
19th Century Groups and Crystals
Concept of groups is the mathematical representation of concept of symmetry.
Symmetry and invariance
It will be denoted by 4. It is an invariant element of the graph.
3 dimensional 230 (1890) 2 dimensional 17 (1891) 4 dimensional 4895 (~1970)
Special Relativity 1905 Lorentz Symmetry
General Relativity 1916 Very Large Symmetry