Hmmm interesting ....
It's hard to follow your text description, but I think what you're
describing is at least a 3D visualisation, so matplotlib isn't ideal for
the task. Can you put this into equations? I'm not clear if your at-rest
plot should be a "trajectory" for a point moving round the torus
If you're willing to learn a new toolkit, this is a good task for VTK
(www.vtk.org). It's included in the enthought python distribution. The
problem here is that you almost certainly need to buy the user-guide
and/or the VTK text book to learn how to use it. VTK is very powerful,
but rather complex to learn.
Maybe this is a good task for VPython (http://www.vpython.org/ ). I've
never used this myself, but if looks well suited to this kind of dynamic
visualisation and is less intimidating than VTK (although it's built on
VTK I think).
Well below is a script to render a "coil" in 3D. It's too much work for
me to figure out the vector/matrix algebra to calculate the trajectory
you describe, but hopefully you get the idea: replace my 'trajectory'
function with whatever is appropriate for what you want. Maybe this will
get you started.
On Fri, 2006-10-13 at 13:59 -0400, Hubert Fitch wrote:
I have now been able to use Matplotlib on Window XP platfrom! Thanks
for thiose who helped me to get Enthought Edition installed and
I have no idea how to do what I have wanted to do for several years. I
will try to describe the plot I need.
I need to be able to include this plot in a Wikki.
A point on a small circle with radius r0, is spiralling around
(orthogonally) in a larger circle of radius r1, with these two radii
related by r0/r1 = alpha. The smaller circle sweeps around the r1
radius to create a path, with the point (on r1) locus describing a
torroid coil in the surface of the ring torus.
This describes the plot when the torus is at-rest, but when the ring
torus is in linear motion, both r0 and r1 change dimensions together,
(keeping the same r0/r1 = alpha ratio), to create an increasing or
decreasing spiralling circular helix, that is a fuction of the mass
energy created by this motion. The point on the r0 circle is "like a
snake chasing its tail?"
When the torus is at-rest, the toroid path is closed, but in-motion,
the torroid is open and becomes an increasing or decreasing spiral.
This path will collapse back to a larger size if the energy is
decreasing, and shrink to a smaller size if the energy is increasing.
If the at-rest motion plot can be created ( I know that I can't do
this plot by myself), then an animation of the ring torus figure
moving through space to create a spiral would help in visualizing this
figure. If this animation can slow down or speed up this would be
Draws a coil in 3D.
Mouse click to rotate the view.
Hit 'u' to start the animation (kill the program to stop it!)
offset = 0.0 #I'm going to use this to 'animate' the figure
returns 3D positions, as a function of one parameter, t
r1 = 1.0
r0 = 0.2
z = r1*math.sin(omega*t+offset)
y = r1*math.cos(omega*t+offset)
x = 0.5*t
s = vtk.vtkProgrammableSource()
"""The Execute method to be called by the source object"""
#make a range of parameter values
tVals = numpy.arange(0,2*math.pi,0.05)
#convert these to positions
positions = [trajectory(t) for t in tVals]
#construct a VTK polydata object: a single poly-line 'cell'
dataset = s.GetPolyDataOutput()
points = vtk.vtkPoints()
cells = vtk.vtkCellArray()
for p in positions:
id = points.InsertNextPoint(*p)
#convert (poly)lines to a tube
t = vtk.vtkTubeFilter()
#make surface normals, so it renders smooth
n = vtk.vtkPolyDataNormals()
#boiler-plate VTK stuff....
ren = vtk.vtkRenderer()
renwin = vtk.vtkRenderWindow()
iren = vtk.vtkRenderWindowInteractor()
#add a simple animation routine, activated by the 'u' keypress
def Animate(obj, evt):
while 1: #need to kill the program to quit
offset += 0.1
Can anyone help me to create this plot?
Thanks for any help!
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