[color=#999999]This activity belongs to the [i]GeoGebra book[/i] [url=https://www.geogebra.org/m/sw2cat9w]GeoGebra Principia[/url].[/color][br][br][br]We can imagine the points as charged particles that repel each other and are confined to the same circle. Each point is associated with the sum of the repulsion vectors from the other points. In this way, the points automatically readjust themselves, seeking the equilibrium position. As expected, this position always corresponds to the vertices of a regular polygon inscribed in the circle.

[color=#999999]Author of the construction of GeoGebra: [url=https://www.geogebra.org/u/rafael]Rafael Losada[/url].[/color]