Re: Lemniscate Polygon

2021-11-03 Thread Bob Sneidar via use-livecode
Ok, you googled that, didn't you?? ;-) Bob S > On Nov 3, 2021, at 24:29 , Mark Waddingham via use-livecode > wrote: > > Hi Roger, > > On 2021-11-02 22:27, Roger Guay via use-livecode wrote: >> Dear List, >> Bernd has produced an absolutely beautiful animation using a >> Lemniskate polygon

Re: Lemniscate Polygon

2021-11-03 Thread Roger Guay via use-livecode
And thank you, Richmond for implementing what for me was overnight. Very nice clean and simple code too!! Roger > On Nov 3, 2021, at 1:39 AM, Richmond via use-livecode > wrote: > > https://forums.livecode.com/viewtopic.php?f=7=36429 > > Richmond. > > On 3.11.21 9:29, Mark Waddingham via

Re: Lemniscate Polygon

2021-11-03 Thread Roger Guay via use-livecode
Thank you, Mark. That was exactly the answer I was looking for! Roger > On Nov 3, 2021, at 12:29 AM, Mark Waddingham via use-livecode > wrote: > > Hi Roger, > > On 2021-11-02 22:27, Roger Guay via use-livecode wrote: >> Dear List, >> Bernd has produced an absolutely beautiful animation using

Re: Lemniscate Polygon

2021-11-03 Thread Richmond via use-livecode
https://forums.livecode.com/viewtopic.php?f=7=36429 Richmond. On 3.11.21 9:29, Mark Waddingham via use-livecode wrote: Hi Roger, On 2021-11-02 22:27, Roger Guay via use-livecode wrote: Dear List, Bernd has produced an absolutely beautiful animation using a Lemniskate polygon that was

Re: Lemniscate Polygon

2021-11-03 Thread Richmond via use-livecode
Hmm: didn't like putA * cos(t) / (1 + sin(t)^2) intoX at all. Mainly because A had not been defined . . . OK: all hunky-dory with  put 200 into A Richmond On 3.11.21 9:29, Mark Waddingham via use-livecode wrote: Hi Roger, On 2021-11-02 22:27, Roger Guay via use-livecode wrote: Dear

Re: Lemniscate Polygon

2021-11-03 Thread Mark Waddingham via use-livecode
Hi Roger, On 2021-11-02 22:27, 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

Re: Lemniscate Polygon

2021-11-02 Thread Roger Guay via use-livecode
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 > wrote: > > For the

Re: Lemniscate Polygon

2021-11-02 Thread Paul Dupuis via use-livecode
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

Lemniscate Polygon

2021-11-02 Thread Roger Guay via use-livecode
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