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Visualizing Superellipses
This Demonstration shows the superellipse curve as a function of its parameters
,
, and
.
The superellipse has parametric equations
,
, for
in the first quadrant (
,
); multiplying by
gives the equations for the curve in the other quadrants.
The special case
gives an ellipse; the further restriction
gives a circle.
Contributed by:
Peter Falloon
THINGS TO TRY
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SNAPSHOTS
RELATED LINKS
Superellipse
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Visualizing Superellipses
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VisualizingSuperellipses/
Contributed by:
Peter Falloon
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