Lemniscate Polygon

Paul Dupuis paul at researchware.com
Tue Nov 2 18:43:12 EDT 2021


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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