Kig (software) Kig is free and open-source interactive geometry software , which is part of the KDE Education Project . It has some facilities for scripting in Python , as well as the creating macros from existing constructions.Import and export Kig can import files made by DrGeo and Cabri Geometry as well as its own file format , which is XML-encoded. Kig can export figures in LaTeX format and as SVG files.Objects Kig can handle any classical object of the dynamic geometry , but also: The center of curvature and osculating circle of a curve; The dilation , generic affinity , inversion , projective application , homography and harmonic homology ; The hyperbola with given asymptotes; The Bézier curves ; The polar line of a point and pole of a line with respect to a conic section ; The asymptotes of a hyperbola; The cubic curve through 9 points; The cubic curve with a double point through 6 points; The cubic curve with a cusp through 4 points.Scripting language Another object is available inside Kig, it is a Python language script. It can accept Kig objects as variables, and always return one object. For example, if there is already a numeric object inside the figure, for example 3, the following Python object can yield its square :def square: return DoubleObject The variables are always called arg1
, arg2
etc. in the order they are clicked upon. Here there is only one variable arg1
and its numerical value is obtained with arg1.value
. If now one wants to implement the square of a complex number , the object which has to be selected at the creation of the script must necessarily be a point, and the script is def csquare: x = arg1.coordinate.x y = arg1.coordinate.y z = x * x - y * y y = 2 * x * y x = z return Point The abscissa of the point representing the square of the complex number is as can be seen by expanding. Coordinate
creates a Python list made of the two coordinates of the new point. And Point
creates the point which coordinates are precisely given by this list. But a Python object inside a figure can only create one object and for more complex figures one has to build the figure with a script:Figure created by a script Kig comes up with a little program called pykig.py
which can load a Python script , e.g. MyScript.py
build a Kig figure, described by this script open Kig and display the figure. For example, here is how a Sierpinski triangle can be made with pykig
: from random import * kigdocument.hideobjects A = Point A.show B = Point B.show C = Point C.show M = Point for i in range: d = randrange if d 0: s = Segment M = s.midpoint if d 1: s = Segment M = s.midpoint if d 2: s = Segment M = s.midpoint M.show
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