sknano.core.geometric_regions.Triangle

class sknano.core.geometric_regions.Triangle(p1=None, p2=None, p3=None)

Geometric2DRegion for a triangle.

New in version 0.3.10.

Represents the bounded region with corner points \(p_1=(x_1,y_1)\), \(p_2=(x_2,y_2)\), and \(p_3=(x_3,y_3)\).

Parameters:

p1, p2, p3 : array_like, optional

2-tuples or Point class instances specifying the Triangle corner points \(p_1=(x_1,y_1)\), \(p_2=(x_2,y_2)\), and \(p_3=(x_3, y_3)\).

Notes

Triangle represents a 2D geometric region consisting of all combinations of corner points \(p_i\), \(\left\{\lambda_1 p_1+\lambda_2 p_2 + \lambda_3 p_3| \lambda_i\ge0\land\lambda_1+\lambda_2+\lambda_3=1\right\}\).

Calling Triangle with no parameters is equivalent to Triangle(p1=[0, 0], p2=[0, 1], p3=[1, 0]).

Attributes

area	Triangle area.
center	Alias for centroid.
centroid	Triangle centroid, \((c_x, c_y)\).
fmtstr	Format string.
measure	Alias for area, which is the measure of a 2D geometric region.
p1	Corner point \(p_1=(x_1, y_1)\).
p2	Corner point \(p_2=(x_2, y_2)\).
p3	Corner point \(p_3=(x_3, y_3)\).

Methods

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