Ellipsoid¶

class hoomd.md.manifold.Ellipsoid(a, b, c, P=(0, 0, 0))¶

Ellipsoid manifold.

Parameters:

a (float) – length of the a-axis of the ellipsoidal constraint \([\mathrm{length}]\).
b (float) – length of the b-axis of the ellipsoidal constraint \([\mathrm{length}]\).
c (float) – length of the c-axis of the ellipsoidal constraint \([\mathrm{length}]\).
P (tuple [float, float, float]) – center of the ellipsoid constraint (default origin) \([\mathrm{length}]\).

Ellipsoid defines an ellipsoid:

Implicit function

\[F(x,y,z) = \frac{(x-P_x)^{2}}{a^{2}} + \frac{(y-P_y)^{2}}{b^{2}} + \frac{(z-P_z)^{2}}{c^{2}} - 1\]

Example:

ellipsoid1 = manifold.Ellipsoid(a=10, b=5, c=5)
ellipsoid2 = manifold.Ellipsoid(a=5, b=10, c=10, P=(1, 0.5, 1))