# 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

## Snapshots

## 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