Local Symmetry in Wallpaper Functions

When
Start: 02/06/2013 - 4:15pm
End  : 02/06/2013 - 5:15pm

Category
Colloquium

Speaker
Frank Farris, Santa Clara University

Abstract



The symmetry group of the image shown is called p6 by crystallographers. It is generated by one translation and one rotation through 60 degrees. Characterizing the pattern by its group invariance ignores a salient feature: the apparent reflection symmetry of the turtle-shaped figures. The explanation of this additional, local symmetry, involves such far-flung ideas as closed geodesics of orbifolds, eigenvalues of the Laplacian, and quadratic number fields.

Where
Beckman B126, Harvey Mudd College

AttachmentSize
Farris.pdf176.77 KB