Thanks, Thomas. I’ve done some of that but you suggest some better keywords to 
search with. I will give it another go.

Roger

> On Jan 22, 2022, at 12:34 PM, Thomas von Fintel via use-livecode 
> <use-livecode@lists.runrev.com> wrote:
> 
> I am not a mathematician, but this kind of equation is called implicit 
> function, implicit equation or implicit curve. If you search for that 
> combined with draw or plot, you might find explanations. But it seems to be 
> complicated.
> 
> Hope this helps.
> Thomas
> 
> 
> 
>> Am 22.01.2022 um 17:56 schrieb Roger Guay via use-livecode 
>> <use-livecode@lists.runrev.com>:
>> 
>> This equation for the lemniscate, (x^2+y^2)^2 = 100*(x^2-y^2) is an example 
>> of a 2 variable function f(x,y). I am trying to figure how to plot such 
>> functions in LC. I can do simple functions like y = f(x) and x = f(t), y = 
>> f(t). Calculators such Good Grapher on the Mac do these f(x,y) functions 
>> with apparent ease. How? 
>> 
>> The only thing I’ve come up with so far is to imbed a y-repeat loop within 
>> an x-repeat loop where for each value of x (within a certain range), every 
>> value of y (within a certain range) is tested for the equation being true. 
>> If true, a point is generated in a point list of a polygon. I think, in 
>> principle, this should work and with persistence, I might be able make it 
>> work, but so far, no cigar. 
>> 
>> Is there a better way?
>> 
>> 
>> Thanks,
>> 
>> Roger
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