I have been trying to plot 3D vector fields, but I keep running into a problem. The graphic does not have arrows instead it is just lines. Here is the code.
var('x,y,z')
p = plot_vector_field3d((x,y,z), (x, -5, 5), (y, -5, 5), (z, -5, 5))
p.show()
Until #24623 is ready, the minimal code to plot the proposed vector field within the manifold framework is (this works with Sage >= 7.5):
R3 = Manifold(3, 'R^3')
X.<x,y,z> = R3.chart()
v = R3.vector_field()
v[:] = (x,y,z)
p = v.plot(max_range=5, scale=0.5)
p.show()
It is a little bit slow, but thanks to some optimisations, this should be improved in future versions of Sage. See the online doc for the list of all options of v.plot(). Note also that you can replace the last line by p.show(viewer='threejs').
The SageManifolds implementation of vector fields gives you a rendering with arrows.
See the gallery at
There is ongoing work to make the SageManifolds approach the default for vector fields in Sage, see
Asked: 2018-04-07 04:01:14 +0100
Seen: 765 times
Last updated: Apr 08 '18
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
Welcome to Ask Sage! Thank you for your question!