How can i generate a 3D plot of the function f(x,y)=x^2+y^2 with the view of all integer values of x,y,z in the graph? For example like this
![x^2+y^2] (http://img845.imageshack.us/img845/91...)
...but with more details.
You can use plot3d to plot your surface and then add to that Graphics object the collection of points you want to visualize:
sage: N = 3
sage: f(x,y)=x^2+y^2
sage: G = plot3d(f, (x,-N,N), (y,-N,N))
sage: points_list = [ (a,b,f(a,b)) for a in [-N..N] for b in [-N..N] ]
sage: G += point(points_list, color='red')
sage: show(G)Here's a working demo:
it does not work! I tested it. It stops running with a TypeError. TypeError: 'Graphics3dGroup' object is not iterable
yeah, that's a typo on my part. It's fixed now
Asked: 12 years ago
Seen: 445 times
Last updated: Nov 03 '12
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.
