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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