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Farris, Frank A. – PRIMUS, 2017
The "domain-coloring algorithm" allows us to visualize complex-valued functions on the plane in a single image--an alternative to before-and-after mapping diagrams. It helps us see when a function is analytic and aids in understanding contour integrals. The culmination of this article is a visual discovery and subsequent proof of the…
Descriptors: Color, Mathematical Concepts, Mathematical Logic, Plane Geometry
Farris, Frank A.; Tsao, Ryan – PRIMUS, 2016
The technique of "group-averaging" produces colorings of a sphere that have the symmetries of various polyhedra. The concepts are accessible at the undergraduate level, without being well-known in typical courses on algebra or geometry. The material makes an excellent discovery project, especially for students with some background in…
Descriptors: Undergraduate Students, Art Activities, Mathematical Concepts, Photography