Translational Symmetry in Dance

Translational symmetry involves repeating the same shape simply by shifting it a constant distance, usually in a line.  This type of symmetry can be found in many man-made objects, such as a row of evenly spaced identical pillars or the slats in a Venetian blind.

In dance, the choreography for the chorus line or the corps de ballet often utilizes translational symmetry.  The precision marching of soldiers on parade and even an unruly conga line will also display translational symmetry.

The Rockettes of Radio City Music Hall combine symmetry operations with synchronous timing to create the precise group patterns for which they are rightly famous.