class sknano.core.geometric_regions.Rectangle(pmin=None, pmax=None, xmin=0, ymin=0, xmax=1, ymax=1)[source][source]

Geometric2DRegion for a rectangle.

New in version 0.3.0.

Represents an axis-aligned bounded region from \(p_{\mathrm{min}}=(x_{\mathrm{min}},y_{\mathrm{min}})\) to \(p_{\mathrm{max}}=(x_{\mathrm{max}},y_{\mathrm{max}})\).


pmin, pmax : array_like, optional

The minimum and maximum 2D point coordinates of the axis-aligned rectangle from pmin=[xmin, ymin] to pmax=[xmax, ymax].

xmin, ymin : float, optional

The minimum \((x, y)\) point of the axis-aligned rectangle.

xmax, ymax : float, optional

The maximum \((x, y)\) point of the axis-aligned rectangle.


Rectangle represents the region \(\left\{\{x, y\}|x_{\mathrm{min}}\le x\le x_{\mathrm{max}} \land y_{\mathrm{min}}\le y\le y_{\mathrm{max}}\right\}\)

Calling Rectangle with no parameters is equivalent to Rectangle(pmin=[0, 0], pmax=[1, 1]).


a Distance between \(x_{\mathrm{max}}-x_{\mathrm{min}}\).
area Rectangle area, \(A=ab\)
b Distance between \(y_{\mathrm{max}}-y_{\mathrm{min}}\).
center Alias for centroid.
centroid Rectangle centroid, \((c_x, c_y)\).
fmtstr Format string.
measure Alias for area, which is the measure of a 2D geometric region.
pmax 2D Point at (xmax, ymax).
pmin 2D Point at (xmin, ymin).
xmax \(x_{\mathrm{max}}\) coordinate.
xmin \(x_{\mathrm{min}}\) coordinate.
ymax \(y_{\mathrm{max}}\) coordinate.
ymin \(y_{\mathrm{min}}\) coordinate.


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