PATOO 3D.

Last Update: Dec 2003.

PATOO has become solid. Again a few orders may get you wonderful figures, but this time they are 3D. Most commands are the same as old PATOO, only a few differences:

Rotations need three arguments. The first one is the rotation angle, but the two others determine the axis around which we must rotate. It is given in spherical coordinates (theta and phi),
When an image is displayed, a viewer is launched in order to navigate and manipulate it.
In order to print a figure, find the view you like and press "p".

By the way: the figure at the beginning of this page is a 3D Sierpinski gasket with four levels. The commands used were these:

p=(0,0,0)(10,0,0)(5,8.66,0)(0,0,0)
p=p+(0,0,0)(5,2.887,8.165)+(10,0,0)(5,2.887,8.165)+(5,2.887,8.165)(5,8.66,0)
# These two lines generate a simple tetrahedron.
O=S(0.5)*(I+T(10,0,0)+T(5,8.66,0)+T(5,2.887,8.165))
# This is the main operator
# But it must be raised to the 4th power so as to be useful...
T(-5,-5,0)*O^4*p
# The T(-5,-5,0) is just for viewing purposes.
quit