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Plot multiple planes at once in Wolfram|Alpha

Posted 11 years ago
Today I tried to plot a plane by using its coordinate form:
plot 3x+3y-2z=18
that worked pretty good and gave me the following result:
http://www.wolframalpha.com/share/clip?f=d41d8cd98f00b204e9800998ecf8427enonbipn9a6

However I want to include another two planes into that surface plot by using:
plot 3x+3y-2z=18, 1x+3y-2z=5, 0x-6y+4z=3
I only got an error. What is wrong with my syntax?

Jan
POSTED BY: Jan Cieslik
4 Replies

You can plot two planes (but no more than two) in Wolfram|Alpha, by doing something like this:

plot (3x+3y-2z-18)(x+3y-2z-5)=0

Also try:

plot (x+y+z-10)(x+y/10+z-5)=0

POSTED BY: Yoonsuck Choe
Posted 7 years ago

Jan gave very good advice. For multiple planes in one graph, Show[graphics,options] would also be needed. E.g.:

Show[ContourPlot3D[x == 2, {x, -5, 5}, {y, -5, 5}, {z, -5, 5}], 
 ContourPlot3D[y == 3, {x, -5, 5}, {y, -5, 5}, {z, -5, 5}], 
 ContourPlot3D[z == 4, {x, -5, 5}, {y, -5, 5}, {z, -5, 5}]]
POSTED BY: Arthur Hill
In Mathematica, you would use the ContourPlot3D function for this http://reference.wolfram.com/mathematica/ref/ContourPlot3D.html

It may not be possible to create a 3D plot with multiple contours yet in Wolfram|Alpha, but I haven't been able to do it yet.
Wolfram|Alpha doesn't have a defined syntax, so there isn't anything generally wrong with your input.
POSTED BY: Sean Clarke
Posted 11 years ago
Thanks for your quick reply Sean.
It's a real pitty that Wolfram|Alpha does not support plotting multiple planes. So the only option left is to buy mathematica? ;)

With regards,

Jan
POSTED BY: Jan Cieslik
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