3D plot in sage

[wxu...@sohu.com]

Hi everyone,

I want do this thing as follows in sage, is that OK?

var('x,y,z')
f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)

and then I want to plot f. how can do it in sage?
Thanks in advance!

regards,
YC

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[John H Palmieri]

On Mar 10, 9:39 am, wxu...@sohu.com wrote:
> Hi everyone,I want do this thing as follows in sage, is that OK?var('x,y,z')f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)and then I want to plot f. how can do it in sage?Thanks in advance!regards,YC

Isn't this a 4d plot? Or do you want to plot f(x,y,z)=0? In that
case, you could do

sage: implicit_plot3d(f == 0, (x, -2, 2), (y, -2, 2), (z, -2, 2))

--
John

[wxu...@sohu.com]

I don't want to plot f(x,y,z)=0.
Yes, it should a 4d plot as you said.
can that be done in sage?

Thanks!
YC

----- 原文 -----

发件人: John H Palmieri
主　题: [sage-support] Re: 3D plot in sage
时　间: 2010年3月10日 07:04:29

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[Marshall Hampton]

One option is several implicit plots, colored by value, i.e. something
like:

var('x,y,z')
f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)

imps = []
plot_range = srange(0,3,.75)
color_range = [i/N(len(plot_range)) for i in range(len(plot_range))]

for i,q in enumerate(plot_range):
red = color_range[i]
imps.append(implicit_plot3d(f-q==0, (x, -2, 2), (y, -2, 2), (z,
-2, 2), opacity = .5, rgbcolor = (red,0,1-red)))

show(sum(imps))

-M. Hampton

On Mar 11, 2:21 am, wxu...@sohu.com wrote:
> I don't want to plot f(x,y,z)=0.Yes, it should a 4d plot as you said.can that be done in sage?Thanks!YC ----- 原文 ----- 发件人: John H Palmieri 主　题: [sage-support] Re: 3D plot in sage时　间: 2010年3月10日  07:04:29On Mar 10, 9:39 am, wxu...@sohu.com wrote:> Hi everyone,I want do this thing as follows in sage, is that OK?var('x,y,z')f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)and then I want to plot f. how can do it in sage?Thanks in advance!regards,YCIsn't this a 4d plot?  Or do you want to plot f(x,y,z)=0?   In thatcase, you could dosage: implicit_plot3d(f == 0, (x, -2, 2), (y, -2, 2), (z, -2, 2))--John-- To post to this group, send email to sage-supp...@googlegroups.comTo unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.comFor more options, visit this group athttp://groups.google.com/group/sage-supportURL:http://www.sagemath.org

[Jason Grout]

On 03/12/2010 03:51 AM, Marshall Hampton wrote:
> One option is several implicit plots, colored by value, i.e. something
> like:
>
> var('x,y,z')
> f=cos(x)*cos(y)+cos(y)*cos(z)+cos(z)*cos(x)
>
> imps = []
> plot_range = srange(0,3,.75)
> color_range = [i/N(len(plot_range)) for i in range(len(plot_range))]
>
> for i,q in enumerate(plot_range):
> red = color_range[i]
> imps.append(implicit_plot3d(f-q==0, (x, -2, 2), (y, -2, 2), (z,
> -2, 2), opacity = .5, rgbcolor = (red,0,1-red)))
>
> show(sum(imps))
>

If you didn't need them to be plotted by color, then you could use the
contour option, like in the doc examples:
sage: implicit_plot3d((x^2 + y^2 + z^2), (x, -2, 2), (y, -2, 2), (z, -2,
2), plot_points=60, contour=[1,3,5])

Jason

[wxu...@sohu.com]

Actually I do need them to be plotted by color.
it seems that sage is not designed for this way.
could anyone give some information about
what open source software can do this?

Thanks a lot!

YC

----- 原文 -----

发件人: Jason Grout
主　题: Re: 回复: [sage-support] Re: 3D plot in sage
时　间: 2010年3月12日 01:26:30

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[Jason Grout]

On 03/12/2010 05:43 AM, wxu...@sohu.com wrote:
> Actually I do need them to be plotted by color.
> it seems that sage is not designed for this way.
> could anyone give some information about
> what open source software can do this?
>

I really don't understand what sort of plot you want. Can you post some
pictures giving examples of what sort of plot you want, or be extremely
precise in describing *exactly* how you want to visually represent this
function? There are lots of ways to represent a 4d function like this.

Thanks,

Jason

--
Jason Grout

[wxu...@sohu.com]

Hi Jason and everyone,

Thank you very much for your reply.

Now I have a function or a set of data depending all the three coordinates x, y, z.
In other words, there is a corresponding value at every point in 3 dimensional space, which maybe
varies from -1 to 1. I want use color to represent the values in every point in 3D space.

For example in a room there is a temperature value at every point in 3D space of the room, I
want describe the temperature value by color for every point in the room.

I really haven't find a proper example figure from internet.

thanks,

YC

----- 原文 -----

发件人: Jason Grout
主　题: Re: 回复: [sage-support] Re: 3D plot in sage

时　间: 2010年3月16日 05:19:05

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[Jason Grout]

On 03/16/2010 02:24 AM, wxu...@sohu.com wrote:
> Hi Jason and everyone,
>
> Thank you very much for your reply.
>
> Now I have a function or a set of data depending all the three
> coordinates x, y, z.
> In other words, there is a corresponding value at every point in 3
> dimensional space, which maybe
> varies from -1 to 1. I want use color to represent the values in every
> point in 3D space.
>
> For example in a room there is a temperature value at every point in 3D
> space of the room, I
> want describe the temperature value by color for every point in the room.
>
> I really haven't find a proper example figure from internet.

Mayavi2 might be the best tool for this job. See
http://code.enthought.com/projects/mayavi/docs/development/html/mayavi/mlab.html#visualizing-volumetric-scalar-data
for some examples.

[wxu...@sohu.com]

Thank you very much!

I will try this.

regards,
YC

----- 原文 -----

发件人: Jason Grout
主　题: Re: 回复: [sage-support] Re: 3D plot in sage

时　间: 2010年3月16日 03:36:36

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[Jaap Spies]

wxu...@sohu.com wrote:
> Thank you very much!
>
> I will try this.
>

You could try the experimental version found here:

http://sage.math.washington.edu/home/jsp/SPKGS/ETS/

Jaap

[wxu...@sohu.com]

Thank you!

----- 原文 -----

发件人: Jaap Spies

主　题: Re: 回复: [sage-support] Re: 3D plot in sage

时　间: 2010年3月16日 05:43:18

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