Model.ellipsoid#

Model.ellipsoid(center, a_dir, b_dir, a, b, c)#

Consider the general equation of an ellipsoid centered at x0, y0, z0 as

\[\begin{split}\\frac{(x - x_0)^2}{a^2} + \\frac{(y - y_0)^2}{b^2} + \\frac{(z - z_0)^2}{c^2} = 1\end{split}\]

This ellipsoid’s principal axes are aligned with x, y and z directions. In this command, an ellipsoid is created whose principal axes are aligned in any specified direction. User defined directions are given for the principal axis that is associated with a value in a_dir, and the principal axis for b value in b_dir values. The principal axis for c value is determined by the other two directions.

Parameters:

  • center (hwTriple) – The center location of the ellipsoid.

  • a_dir (hwTriple) – The principal axis direction associated with a value. A vector input is expected.

  • b_dir (hwTriple) – The principal axis direction associated with b value. A vector input is expected.

  • a (double) – The ‘a’ value in the ellipsoid equation.

  • b (double) – The ‘b’ value in the ellipsoid equation.

  • c (double) – The ‘c’ value in the ellipsoid equation.

Example#

Create an ellipsoid solid centered at (1,1,1) with principal axis for ‘a’ as (1,1,0), with principal axis for ‘b’ as (0,0,1), a=4, b=5, and c=6 values#
import hm
import hm.entities as ent

model = hm.Model()

model.ellipsoid(
    center=[1.0, 1.0, 1.0],
    a_dir=[1.0, 1.0, 0.0],
    b_dir=[0.0, 0.0, 1.0],
    a=4,
    b=5,
    c=6
)
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