Project Summary

C elegans is a nematode commonly found in soil across the globe.  When images taken from a microscope are imported into Mathematica, a Fourier transform is performed to develop the diffraction image. Unlike traditional transforms, Mathematica uses a technique called oversampling to produce diffraction images. Not every C. elegans can be classified, nor does every one have a symmetry pattern. However the diffraction pattern that is produced by each and every C. elegans hass some level of symmetry. Thus it is safe to conclude that every diffraction image is symmetric whether or not its original image possesses symmetry. This symmetry can than be classified using symmetry theory under group theory.