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Linear Combinations of Curves in Complex Plane
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
THINGS TO TRY
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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.
RELATED LINKS
Function Space
(
Wolfram
MathWorld
)
Symmetry of a Mystery Curve
(
Wolfram Demonstrations Project
)
Three Vector Spaces
(
Wolfram Demonstrations Project
)
The Minkowski Sum of Two Triangles
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Izidor Hafner
"
Linear Combinations of Curves in Complex Plane
"
http://demonstrations.wolfram.com/LinearCombinationsOfCurvesInComplexPlane/
Wolfram Demonstrations Project
Published: February 15, 2016
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