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From Wikipedia, the free encyclopedia
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.
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Developer(s) | KDE |
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Initial release | 2 August 2006 |
Stable release | |
Repository | |
Written in | C++ (Qt) |
Operating system | Unix-like, Mac OS X, Windows |
Type | Interactive geometry software |
License | GPL |
Website | https://apps.kde.org/kig/ |
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 (vector graphics) files.
Kig can handle any classical object of the dynamic geometry, but also:
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 (9):
def square(arg1):
return DoubleObject(arg1.value() ** 2)
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 no one wants to implement the square of a complex number (represented by a point in the Argand diagram), the object which has to be selected at the creation of the script must necessarily be a point, and the script is
def csquare(arg1):
x = arg1.coordinate().x
y = arg1.coordinate().y
z = x * x - y * y
y = 2 * x * y
x = z
return Point(Coordinate(x, y))
The abscissa of the point representing the square of the complex number is as can be seen by expanding , Coordinate(x,y)
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:
Kig comes up with a little program (written in Python) called pykig.py
which can
MyScript.py
For example, here is how a Sierpinski triangle can be made (as an IFS) with pykig
:
from random import *
kigdocument.hideobjects()
A = Point(0, 2)
A.show()
B = Point(-2, -1)
B.show()
C = Point(2, -1)
C.show()
M = Point(.1, .1)
for i in range(1, 1000):
d = randrange(3)
if d == 0:
s = Segment(A, M)
M = s.midpoint()
if d == 1:
s = Segment(B, M)
M = s.midpoint()
if d == 2:
s = Segment(C, M)
M = s.midpoint()
M.show()
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