sknano.core.geometric_regions.Parallelepiped.centroid

Parallelepiped.centroid

Parallelepiped centroid, $(c_x, c_y, c_z)$.

Computed as the 3D point $(c_x, c_y, c_z)$ with coordinates:

$$c_x = o_x + \frac{u_x + v_x + w_x}{2}$$ $$c_y = o_y + \frac{u_y + v_y + w_y}{2}$$ $$c_z = o_z + \frac{u_z + v_z + w_z}{2}$$

where $(o_x, o_y, o_z)$, $(u_x, u_y, u_z)$, $(v_x, v_y, v_z)$, and $(w_x, w_y, w_z)$ are the $(x, y, z)$ coordinates of the origin $o$ and $(x, y, z)$ components of the direction vectors $\mathbf{u}$, $\mathbf{v}$, and $\mathbf{w}$, respectively.

Returns:

Point

3D Point of centroid.