symmetry

Discusses the unity among Johann Sebastian Bach's multifaceted compositions, graphic artist M.C. Escher's paradoxical drawings, and the mathematical concepts of Kurt Godel, exploring the Strange Loop phenomenon that occurs in all their work, in which moving upwards or downwards through the levels of a hierarchical system leads right back to the beginning.

Provides information about the connections between chaotic dynamics and the mathematical concept of symmetry, and includes a series of mathematically-generated computer images that link symmetry and chaos.

Introduces the concept of symmetry and demonstrates its presence in natural objects, including ferns, butterflies, human faces, and starfish.

Discusses the unity among Johann Sebastian Bach's multifaceted compositions, graphic artist M.C. Escher's paradoxical drawings, and the mathematical concepts of Kurt Godel, exploring the Strange Loop phenomenon that occurs in all their work, in which moving upwards or downwards through the levels of a hierarchical system leads right back to the beginning.

Presents games, craft projects, puzzles, and quizzes designed to help teach young children develop the mathematical skills of problem solving, matching, and sorting.

Provides an explanation of bilateral and rotational symmetry and transformations, looks at examples of symmetry in nature, and examines famous structures from around the world to determine whether or not they are symmetrical.

Simple text and photographs introduce the concept of symmetry as displayed by familiar creatures and objects.

Presents an introduction to tesselations, a special class of geometric patterns made up or one or more shapes, that will completely cover a surface with any gaps or overlaps, and includes illustrations, as well as techniques for generating tessellating designs.

A simple description of the different types of symmetry, including line, point, and plane.

Explains how the attempts of two young nineteenth-century mathematicians--Frenchman ?variste Galois and Norwegian Niels Henrik Abel--to solve the quintic equation spawned group theory and examines the role of symmetry in nature, human perception, and human endeavor.