Linear Combinations of Curves in Complex Plane

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This Demonstration illustrates a vector subspace of functions over the field of complex numbers. A basis is
, where
and
are different integers. If
and
, then
and
.
Contributed by: Izidor Hafner (February 2016)
Open content licensed under CC BY-NC-SA
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Details
The idea for this Demonstration comes from [1, p. 15].
[1] F. A. Farris, Creating Symmetry: The Artful Mathematics of Wallpaper Patterns, Princeton: Princeton University Press, 2015.
Permanent Citation
"Linear Combinations of Curves in Complex Plane"
http://demonstrations.wolfram.com/LinearCombinationsOfCurvesInComplexPlane/
Wolfram Demonstrations Project
Published: February 15 2016