Plota a sphere in maxima using plot3d
Nanotech
i would like plot a sphere in maxima using gnuplot plot3d function in
cartesian coordinate system.
The function that i use is: x^2+y^2+z^2-10=0
I set the grid with this command: [x,-5,5] [y,-5,5] [z,-5,5]
Gnuplot return a blank window. Why ?
What i mistake ?
Hans-Bernhard Bröker
> i would like plot a sphere in maxima using gnuplot plot3d function in
> cartesian coordinate system.
> The function that i use is: x^2+y^2+z^2-10=0
> I set the grid with this command: [x,-5,5] [y,-5,5] [z,-5,5]
Sorry, but you'll have to ask your question in terms of gnuplot commands
and data. We have no idea what maxima makes of the above.
geep
Hi,
Maybe we are slightly offtopic asking about maxima....
Anyway - on my maxima or wxmaxima I give these commands and maxima sends
commands to gnuplot to draw a nice sphere:
load(draw);
draw3d(enhanced3d = true,
terminal=png,
implicit(0=(x^2+y^2+z^2-10),
x,-5,5,y,-5,5,z,-5,5),
palette = gray,
surface_hide = true);
maxima produces 2 files which gnuplot uses:
data.gnuplot
maxout.gnuplot
and then gnuplot produces:
maxima_out.png
I attach the 2 gnuplot files below. Some lines might be wrapped as they
are very long. I'm running on linux.
Hope yours works similarly.
Cheers,
Peter
#####################################################################
data.gnuplot:
#####################################################################
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#####################################################################
maxout.gnuplot:
#####################################################################
set terminal png size 640, 480 xffffff
set out 'maxima_out.png'
set size 1.0, 1.0
set origin 0.0, 0.0
set xrange [-5.0:5.0]
set yrange [-5.0:5.0]
set zrange [-5.0:5.0]
set cbrange [*:*]
set title ''
set xlabel ''
set ylabel ''
set zlabel ''
unset logscale x
unset logscale y
unset logscale z
unset logscale cb
unset grid
unset xzeroaxis
unset yzeroaxis
unset zzeroaxis
set xtics norotate border autofreq
set ytics norotate border autofreq
set ztics norotate border autofreq
set cbtics autofreq
set view 60, 30, 1, 1
set pm3d at s depthorder explicit
set colorbox
set palette gray
splot '/home/dad/data.gnuplot' index 0 t '' w l lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 1 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 2 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 3 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 4 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 5 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 6 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 7 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 8 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 9 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 10 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 11 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 12 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 13 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 14 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 15 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 16 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 17 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 18 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 19 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 20 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 21 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 22 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 23 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 24 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 25 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 26 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 27 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 28 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 29 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 30 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 31 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 32 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 33 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 34 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 35 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 36 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 37 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 38 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 39 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 40 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 41 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 42 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 43 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 44 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 45 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 46 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
home/dad/data.gnuplot' index 47 t '' w pm3d lw 1 lt 1 lc rgb 'black','/
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home/dad/data.gnuplot' index 439 t '' w pm3d lw 1 lt 1 lc rgb 'black'
geep
maxima will give a hemisphere from this:
plot3d(( 10 - x^2 - y^2) ^ 0.5, [x,-50,50], [y,-50,50]);
and a complete sphere:
plot3d( [sin(a) * cos(b), sin(a) * sin(b), cos(a)], [a, 0, 2 * %pi], [b,
0, %pi] );
Haven't bothered with the gnuplot output. If you get the earlier example
to work, these should too.
Cheers,
Peter