class sknano.core.geometric_regions.Ellipse(center=None, rx=1, ry=1)[source][source]

Geometric2DRegion for an ellipse.

New in version 0.3.0.

Represents an axis-aligned ellipse centered at \((c_x, c_y)\) with semi-axes lengths \(r_x, r_y\).


center : array_like, optional

Center of axis-aligned ellipse with semi-axes lengths \(r_x, r_y\)

rx, ry : float

Lengths of semi-axes \(r_x, r_y\)


Ellipse represents the axis-aligned ellipsoid:

\[\left\{\{x, y, z\}\in R^3| \left(\frac{x-c_x}{r_x}\right)^2 + \left(\frac{y-c_y}{r_y}\right)^2 + \left(\frac{z-c_z}{r_z}\right)^2\le 1\right\}\]

Calling Ellipse with no parameters is equivalent to Ellipse(center=[0, 0], rx=1, ry=1).


area Ellipse area, \(A=\pi r_x r_y\).
center Ellipse center point \((c_x, c_y)\).
centroid Alias for center.
fmtstr Format string.
measure Alias for area, which is the measure of a 2D geometric region.
rx Length of semi-axis \(r_x\).
ry Length of semi-axis \(r_y\).


center_centroid() Center centroid on origin.
contains(point) Test region membership of point in Ellipse.
rotate([angle, axis, anchor_point, ...]) Rotate GeometricRegion points and vectors.
todict() Returns a dict of the Ellipse constructor parameters.
translate(t[, fix_anchor_points]) Translate GeometricRegion points and vectors by Vector t.