Cool 3-D functions for graphing (2024)

I am collecting nice 3-d functions to demonstrate graphing tool, if anyone have great functions which will look great on 3-d plotting, please let me know.

Here are few equations I am using now. If you guys need I can provide a link to plot each of these graphs.

(01) x*y^3-y*x^3
(02) (x^2+3*y^2)*e^(-x^2-y^2)
(03) -x*y*e^(-x^2-y^2)
(04) -1/(x^2+y^2)
(05) cos(abs(x)+abs(y))
(06) cos(abs(x)+abs(y))*(abs(x)+abs(y))

Note:
I have discuss some 2-D functions for my earlier tool, which you can see on this thread
Cool 2-D functions for graphing

Thanks in advance

Office_Shredder said:

You can probably find cooler functions if they're implicitly defined. Can your graphing tool handle those?

I am not sure what you looking for, here is one sample 3D graph drawn from the tool
Graph: cos(abs(x)+abs(y))*(abs(x)+abs(y))

I seem to have trouble viewing a saved plot.
Graph: (floor(-e^(-x*y/1)*cos( (x^2+y^2)/10 ))+14*ln(10000/(x^2+y^2)+.01))*floor( cos(x^2+y^2)/10)+3*(ceil(x)-floor(x))*(ceil(y)-floor(y))
viewed in the range (-3,3) (-3,3) (-150,100)

Maybe it's too complicated?

Its look great, let me try the link again
Graph: (floor(-e^(-x*y/1)*cos( (x^2+y^2)/10 ))+14*ln(10000/(x^2+y^2)+.01))*floor( cos(x^2+y^2)/10)+3*(ceil(x)-floor(x))*(ceil(y)-floor(y))

You are right, some thing wrong with the built in forums bbcode builder, when I copy and paste the URL, it is working fine. Probably a bug, may have to work on that to fix it for long formulas.

radou said:

How come Arildno didn't suggest to plot f(x, y) = 0 yet..

He is a lost case, so I resigned from trying to make him appreciate the beauty of the Great Annihilator.

I'll be back if he tries to top f(x,y,z)=0 in 4-D, though.

LPHY said:

I am not sure what you looking for, here is one sample 3D graph drawn from the tool
Graph: cos(abs(x)+abs(y))*(abs(x)+abs(y))

I mean, for example, if I said to graph cos(z) + sin(xy - 2) = 0, could it graph that for z as a function of x and y?

Office_Shredder said:

I mean, for example, if I said to graph cos(z) + sin(xy - 2) = 0, could it graph that for z as a function of x and y?

Sorry you cannot graph this function

cos(z) + sin(xy - 2) = 0

function must be in this format

f(x,y)

where

f(x,y) = z

LPHY said:

Its look great, let me try the link again
Graph: (floor(-e^(-x*y/1)*cos( (x^2+y^2)/10 ))+14*ln(10000/(x^2+y^2)+.01))*floor( cos(x^2+y^2)/10)+3*(ceil(x)-floor(x))*(ceil(y)-floor(y))

You are right, some thing wrong with the built in forums bbcode builder, when I copy and paste the URL, it is working fine. Probably a bug, may have to work on that to fix it for long formulas.

floor(e^(abs(x*y/2))+round(1/cos(x*y))) works out just as well, and doesn't look nearly so ugly from a function point of view

Office_Shredder said:

floor(e^(abs(x*y/2))+round(1/cos(x*y))) works out just as well, and doesn't look nearly so ugly from a function point of view

Agree :)

Graph: floor(e^(abs(x*y/2))+round(1/cos(x*y)))

robphy said:

When I came up with my first function above, I was goofing around with various functional forms. When I came upon something I liked, I used it and didn't reduce it to a visually-similar but functionally-simpler form.

I actually wasn't specifically trying to reduce your function, I just happened to stumble upon it (before looking at yours actually)

Here's one closer to what I was trying to do in my first attempt:
Graph: max(-2*(round(e^(-(x*2)^2))+round(e^(-(y*2)^2)))+2+2*cos((x^2+y^2)/4),25*e^(-(x^2+y^2)*3))
However, you have to increase the grid to 25 to resolve the spire and the notches.

Didn’t do any changes to the program, did you try adjusting the Z-Axis boundary limit.

Try and see whether its work for you, if you are not sure the range you can set it to

z-min = Auto
Z-max = Auto

LPHY said:

Sorry you cannot graph this function

cos(z) + sin(xy - 2) = 0

function must be in this format

f(x,y)

where

f(x,y) = z

[QUOTE]Actually you can graph this because grapher works with it...