Migration Patterns

2014 Senior Art Showcase

Eric Meehl

Eric_DSC6567The work presented here deals with the notion that mathematical principles both underlie and are foreign to aspects of our everyday life, from drinking a glass of water to the act of printmaking itself. Especially relevant are the collection of transformations in the two-dimensional plane; some pieces demonstrate their presence while others highlight their inherent absurdity.

Rigid motions are those in which the object in motion retains its shape, and every rigid motion can be broken down into a composition of the three basic ones: translation, rotation, and reflection. The human body makes thousands of such motions in any given day, yet we do not take pause to reflect upon this. When Euclid redefined geometry millennia ago, he believed he was making tangible some irrefutable truths of the universe. Such notions have faded with time, but are his expressions not an integral component of human existence?

The inversion is a transformation that collects all area outside of a given circle and maps it into itself, while simultaneously taking the area within the circle and stretching it across the area outside. The infinite becomes finite, and the finite becomes infinite. As incomprehensible as it seems, some mathematicians believe that such a motion is commonplace in a non-Euclidean space in which we may very well be living, albeit on an incredibly small scale. This piece emphasizes the necessary quantifier about scale and the violence that would occur in the alternative.