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
Pages 409–412
Short Papers

Abstract

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.

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