Given a set of points $X \subset R^n$, points are the row of $X$. We can find it's Convex hull $CH(X)$. And assuming the $X$ here are in cartesian coordinate.
There are many other coordinate systems, e.g. Polar coordinate system, homogeneous coordinate system.
And we can convert $X$ into Polar coordinates to obtain $Y := polar(CH(X))$. In this new coordinate system, What's the relationship between $CH(Y)$ and $CH(X)$ ?