Symmetry
An intrinsic property of a mathematical object which causes it to remain invariant under certain classes of transformations(such as Rotation, Reflection, Inversion, or more abstract operations). Themathematical study of symmetry is systematized and formalized in the extremely powerful and beautiful area ofmathematics called Group Theory.
Symmetry can be present in the form of coefficients of equations as well as in the physical arrangement of objects. Byclassifying the symmetry of polynomial equations using the machinery of Group Theory, for example, it is possible toprove the unsolvability of the general Quintic Equation.
In physics, an extremely powerful theorem of Noether states that each symmetry of a system leads to a physically conservedquantity. Symmetry under momentum 
conservation, symmetry underangular momentum conservation, symmetry in time to energy conservation, etc.
References
Eppstein, D. ``Symmetry and Group Theory.''http://www.ics.uci.edu/~eppstein/junkyard/sym.html. Farmer, D. Groups and Symmetry. Providence, RI: Amer. Math. Soc., 1995. Pappas, T. ``Art & Dynamic Symmetry.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, pp. 154-155, 1989. Rosen, J. Symmetry in Science: An Introduction to the General Theory. New York: Springer-Verlag, 1995. Schattschneider, D. Visions of Symmetry: Notebooks, Periodic Drawings, and Related Work of M. C. Escher. New York: W. H. Freeman, 1990. Stewart, I. and Golubitsky, M. Fearful Symmetry. New York: Viking Penguin, 1993.
Symmetry
- Convex Function
- Convex Hull
- Convex Optimization Theory
- Convex Polygon
- Convex Polyhedron
- Convolution
- Convolution Theorem
- Conway-Alexander Polynomial
- Conway Groups
- Conway Notation
- Conway Polyhedron Notation
- Conway Polynomial
- Conway Puzzle
- Conway's Constant
- Conway Sequence
- Conway's Game of Life
- Conway's Knot
- Conway's Knot Notation
- Conway's Life
- Conway Sphere
- Coordinate Geometry
- Coordinates
- Coordinate System
- Coordination Number
- Copeland-Erdös Constant