Sources of Flow as Sources of Symmetry: Divergence Patterns of Sinusoidal Vector Fields

Judy Holdener and Marie Snipes
Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (2014)
Pages 409–412 Short Papers


Here we create two-dimensional black and white symmetry patterns by coloring sources in a sinusoidal vector field in white and sinks in black. We focus on vector fields of the form F⃗(x,y) = sin(ax)cos(by) + sin(cy)cos(dx), where a, b, c, d ∈ ℕ, because of the interesting divergence symmetries such fields produce.