Lemniscate Polygon

[Roger Guay]

Yes, I suppose so. Even easier would be to modify the points of a polygon generated from R = 10*sin(theta)*cos(theta) in polar coordinates (a four leaf clover type), but I’m hoping to avoid that.
Thanks,
Roger

> On Nov 2, 2021, at 3:43 PM, Paul Dupuis via use-livecode <use-livecode at lists.runrev.com> wrote:
> 
> For the infinity symbol polygon, wouldn't a possible way to do this is by modeling a tear drop (see http://paulbourke.net/geometry/teardrop/ which does not require imaginary numbers) and duplicating the points with opposite signs for the other half?
> 
> On 11/2/2021 6:27 PM, Roger Guay via use-livecode wrote:
>> Dear List,
>> 
>> Bernd has produced an absolutely beautiful animation using a Lemniskate polygon that was previously provided by Hermann Hoch. Can anyone provide some help on how to create this polygon mathematically? Since the equation for a Lemniskate involves the SqRt of negative numbers, which is not allowed in LC, I am stumped.
>> 
>> You can find Bernd’s animation here: https://forums.livecode.com/viewtopic.php?f=10&t=36412 <https://forums.livecode.com/viewtopic.php?f=10&t=36412>
>> 
>> Thanks,
>> Roger
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