Hello .
How can I calculate the polygon center point using its vertexes?
Thanks
Then don't we need to know what type of centre you areOriginally Posted by rat
interested in?
Centre of mass of unit weights at the vertices.
Centre or mass of rods of unit mass per unit length making
up the sides of the polygon.
Centre of mass of a lamellar of unit mass per unit area in
the form of the polygon.
Or some other centre?
Since the polygon may be irregular, rat must mean the center of mass, when every vertex point $\displaystyle \vec r_1,\ldots,\vec r_n$(plural: vertices ) has nonzero mass $\displaystyle m_1,\ldots,m_n.$ Then the center of mass lies at the tip of the vector
$\displaystyle \vec r=\frac{m_1\vec r_1+\dots+m_n\vec r_n}{m_1+\ldots+m_n}$.
Hope this is ok.