Examples of Zindler Curves

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6.4

move

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This Demonstration shows an example of a Zindler curve.

A Zindler curve is a simple closed plane curve with the defining property that all chords that halve the curve length have the same length.

A trivial example of a Zindler curve is the circle.

The example shown here is a curve with the equation

z(t)=

2it

e

+2

-it

e

+a

it/2

e

,t∈(0,4π)

.

[1] Wikipedia. "Zindler Curve." (Apr 19, 2018) en.wikipedia.org/wiki/Zindler_curve.

Izidor Hafner, Marko Razpet