2016 Bridges Conference

Bianca Violet and Valentina Galata

Artists

Bianca Violet

Math Communicator

IMAGINARY gGmbH

Berlin, Germany

bianca.violet@imaginary.org

https://about.imaginary.org/

Statement

I enjoy visualizing simple geometric beauty combined with mathematical content.

Artworks

Image for entry 'Algebraic Apple'

Algebraic Apple

60 x 60 cm

digital image (will be printed)

2015

Take a doughnut shaped ring torus and increase the radius of the tube until the inner hole just disappears. You arrive at a singularity in the middle of the object, where the two cusps meet. To increase the resemblance to an ordinary apple, stretch the whole surface a little along the rotational axis and add a stem. Each point in space can be described by three coordinates x, y and z. All of the points within the apple skin satisfy the following algebraic equation: x² + y² - (x² + y² + z²/2)² = 0 The apple is cut by showing only points that lie on one side of a chosen cutting surface, which can be a plane, a sphere, or something else. All points on the other side of the surface are simply cut off (or eaten).