On 01/05/2025 14:39, Bald Eagle wrote:
> kurtz le pirate <kur### [at] freefr> wrote:
> 
>> Curves are defined with Cartesian parameters: x=f(t), z=g(t).
>> The profile is a simple polygon.
> 
> Nice job with the profiles.
> 
> What's the arc-length of that lemniscate?   :D


Simple. Here, half-width a = 24 = c√2.

                   2*π
Then, length = --------- * c
                M(1,1/√2)


With M(a,b) the arithmetic–geometric mean function.


;)




-- 
kurtz le pirate
compagnie de la banquise

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