1 | initial version |

Those are cool!

I just learned how to apply a colormap to 3dplots--probably a secondary issue for you at this stage, but it gives an example of plotting a surface:

var('r v') cmsel = [colormaps['autumn'](i) for i in sxrange(0,1,0.05)] p = plot3d(0.2*(r**2 + v**2) + cos(2*r)*sin(2*v),(r,-2,2), (v,-2,2), adaptive=True, color=cmsel, plot_points=10, opacity=0.9) p2 = sphere((0,0,0),1,color='black',opacity=0.5) (p+p2).show(aspect_ratio=(1,1,1), figsize=[7,3])

For doing the seashell plots, it looks like `parametric_plot3d`

might be the plotting function you want. Here's an example:

u, v = var('u,v') f1 = (4+(3+cos(v))*sin(u), 4+(3+cos(v))*cos(u), 4+sin(v)) f2 = (8+(3+cos(v))*cos(u), 3+sin(v), 4+(3+cos(v))*sin(u)) p1 = parametric_plot3d(f1, (u,0,2*pi), (v,0,2*pi), texture="red") p2 = parametric_plot3d(f2, (u,0,2*pi), (v,0,2*pi), texture="blue") p1 + p2

And maybe the last pieces of information you need are defining functions and setting parameters (copied from your Natalina example):

def rad(aa): return float(aa/360*2*pi) D=1 alpha=rad(80) beta=rad(40) phi=rad(55) mu=rad(10) Omega=rad(30) smM=[rad(-270)..rad(80)] A=25 a=12 b=16 P=0 L=0

In general, you don't need to import anything to use sage's plotting functions, but you do need to remember to declare the variables with `var()`

. Also, in python and hence also sage, _indentation is part of the syntax_, so for example the function declaration won't work if the `return..`

line isn't indented, and sage knows the function declaration is over because the following lines are not indented. Maybe you already know this, but if not it can be *really* confusing (or at least it was for me)!

Finally, here's a link to the sage documentation for 3d graphics; from there you can navigate to either the `plot_3d`

or `parametric_plot3d`

pages. And here's a link to http://sagenb.org, which is a good place to find examples of using the notebook (which is probably where you want to start).

Unfortunately I don't know anything about Maple, so I don't see immediately how to finish the translation, but hopefully this will get you pretty close to finished :)

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.