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Hi,
I'ld like to find what said in title by using the command Centroid [<Polygon>] being the polygon constructed through lists of points embedding the figure border via slider. Calculus gives the shown G position. Thanks and Regards
Philippe
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01.png
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Good drift, Noel!
My idea is better described in the figure. Both lists should be embedde in one, so that the unique command Centroid[Polygon] will converge, by increasing the sides n, into the value computed with circle. In other words, with few sides the computed point is far from the one coming from exact calculations.
Thanks&Regards
Philippe
Philippe
hello
ok,Noel
hey chaffeur, if you want a no constant serie you need no regular polygons or different number of sides, ie: n sides for small polygon and n+2 sides for big polygon
or n and 2n
saludos
PS: perhaps better with semicircles
Interesting result reached by Noel's construction: the centroid invariance with any polygon sides, as shown below.
It could be an ... assist for theoretical demonstations. Regards and compliments, Noel.
Philippe
PS: by activating the animation, see the position of centroid G, always there!
https://ggbm.at/562217
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