I wrote this, along with other 3d hacks for Alex's plotting code, about 9
months ago. It's so horrendously slow, I didn't show it off much. You can
imagine my surprise that the resultant image is the only image in Wikipedia's
SAGE article to this day.
def xproj(x,y,z,r):
return (y*r[1] - x*r[3])*r[2]
def yproj(x,y,z,r):
return z*r[2] - (x*r[1] + y*r[2])*r[0]
def rotation_list(tilt,turn):
return [ sin(tilt*pi/180),
sin(turn*pi/180),
cos(tilt*pi/180),
cos(turn*pi/180) ]
def polygon_3d(points, tilt=30, turn=30, **kwargs):
rot = rotation_list(tilt,turn)
points2 = [(xproj(x,y,z,rot), yproj(x,y,z,rot)) for (x,y,z) in points ]
return polygon(points2, **kwargs)
def testplot(func,xlist,ylist,colorf):
p = Graphics()
for n in range(len(xlist)-1):
i = xlist[n]
i1= xlist[n+1]
for m in range(len(ylist)-1):
j = ylist[m]
j1 = ylist[m+1]
f = func(i,j)
fj= func(i1,j)
fi= func(i,j1)
f2= func(i1,j1)
c = colorf(i,j,f)
c2= colorf(i1,j1,f2)
p+= polygon_3d( [(i , f , j ),
(i1, fj , j ),
(i , fi , j1)],
rgbcolor = c)
p+= polygon_3d( [(i1, f2, j1 ),
(i1, fj , j ),
(i , fi , j1)],
rgbcolor = c2)
return p
def f(x,y):
return cos(sqrt(x^2 + y^2))
def c(x,y,z):
return (abs(z),0,abs(sin(sqrt(x^2+y^2))))
testplot(f,srange(-5,5,.1),srange(-5,5,.1),colorf=c).show(axes=False)
On Thu, 24 May 2007, David Joyner wrote:
>
> On 5/23/07, William Stein <[EMAIL PROTECTED]> wrote:
>>
>> On 5/23/07, Marshall Hampton <[EMAIL PROTECTED]> wrote:
>>> Surface plots are very important for my sage-teaching plans.
>>> Currently the maxima surface plots don't work for a notebook running
>>> on a different machine (unless there is some way of piping that over
>>> - ?).
>>
>> Currently unfortunately there is no good support for surface plots in the
>> SAGE notebook. This is a major major gap in SAGE, which hasn't been
>> remedied yet. It is possible to draw nice surface plots in the notebok
>> via Tachyon but this is not very good yet. Some of the SAGE developers
>> last year wrote a lot of code necessary for surface plotting, but we
>> still don't have a good rendering system.
>
> I'm not sure what "good rendering" means. Can (for example) a
> square in 3-space with a specified size, position and
> orientation be plotted? If so, what is the command?
>
>
>>
>> NOTE: If you can figure out how to tell maxima to save a plot to a file
>> instead of displaying it, then it will get displayed by the notebook. The
>> notebook has the cool property that it simply automatically displays any
>> .png images that get created as a side-effect of running a command.
>> They have to get created in the working directory of the notebook cell
>> though, and maxima might place the file elsewhere. Anyway, if somebody
>> were to post maxima code that shows how create a graph and save it
>> to a file, then it would probably be easy for me to figure out how to make
>> that plot appear in the notebook.
>
> This can be done using gnuplot (which does not come with SAGE).
> I sent an email to the maxima email list and it seems that openmath (which
> does come with SAGE) cannot save to a file using a plot option.
> Openmath does have the ability save to a ps file, but apparently only
> using the mouse.
>
>
>>
>> William
>>
>>>
>>
>
> >
>
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