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.