Sources of Flow as Sources of Symmetry: Divergence Patterns of Sinusoidal Vector Fields
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Reference
Judy Holdener and Marie Snipes: Sources of Flow as Sources of Symmetry: Divergence Patterns of Sinusoidal Vector Fields. In: Bridges 2014. Pages 409–412
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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 F(x, y) = sin(ax) cos(by)ˆi + sin(cy) cos(dx)ˆj, where a, b, c, d ∈ N, because of the interesting divergence symmetries such fields produce.
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http://archive.bridgesmathart.org/2014/bridges2014-409.pdf