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It shows error, when I use 'y' variable, and says it is not defined.

So only plots of the form y=f(x) are allowed. How do I overcome this limitation in plotting?

And also how are 2d plots converted to 3D. I know how to do it. But how is it possible to make a 3d plot of a curve say, sin , as it is inherently in 2 dimensions.

type(3) <type 'sage.rings.integer.Integer'>

So how was sage's python version created, and do I need to learn C to be able to do that ? I would like some easy to begin guide, on how to achienve the same basic things as I'd like to know it's internal workings.

sage -n is what I did. I installed sagemath and sage-notebook via pacman on archlinux. I asked them they said it's an upstream issue. However the console works, but I like cells and notebook. Don't use the console.

I waited hours but no response.

@sebastien no, it's hang is permanent. and there is no solution. ?? I tried it for 30minutes, and it was still the same.

If I did any mistake you can , edit the format, of images, and text.

This is the error. error

I just did install from the pacman repo -sagemath and the notebook?

@Dan another question is how is it a 3d graph, in wikipedia and else where they all just draw a 2d graph? From where did the extra information for the 3rd axis take over?

@dan_fulea maybe, I mean how is the density calculated? If I can understand that, it might help to understand what is the meaning of density of sin(x)?

If it is $\mathbb R^2 $then it's a complex value not a real one?

@Dan By height I assume the y-value which is real. but what is meant by "from a domain inside R2 with values in R" . For height we already have the usual plot? I don't understand it.

I was wondering, since a function is a curve, it does not have a density unlike prime density,signal density,etc? And does it plot on complex or real numbers? What is the meaning of all the colors from red to blue?

yeah, it works in sagemathcell. But it's only 5months old, not that old , too bad sagemath is in a constant state of turmoil, and flux.

@John btw are you sure, your code works? which version are you using?

I ran your code with poygon3d, but error.

@John SageMath version 7.5.1, Release Date: 2017-01-15 . polygon3d is there, but not polygons3d ?

I tried using polygon3d() and failed as a list too.

@John polygons3d() is not defined error, I get and polygon3d too accepts only one argument?

I want to draw three right pyramids, which together make up a prism. I want to see all the three right pyramids with different colors so that I can see them, and rotate in 3D?

tetrahedron is the function that I know, but I can't do it on my own. Or with any other 3D plot?

I read the reference manual. There I see only x,y. So how is the value of z decided? Example:

def f(x,y):
      return math.sin(y*y+x*x)/math.sqrt(x*x+y*y+.0001)

P = plot3d(f,(-3,3),(-3,3), adaptive=True, color=rainbow(60, 'rgbtuple'), max_bend=.1, max_depth=15)
P.show()

I also don't know how to paste the sage cell code, as only latex is the way here.

Your are right john.

I type expand( (a+b)**20) but I want to see it in a single page, not as a single line? The same for 88**800 I don't want to uncheck the typesetting box.

So is there a function that can display the output in sage's raw format. What is this format, and how do I see it? I know show() and view() which show the output in the latex format, but not sage's output format.

So, i got a different cubic formula for the depressed equation than that was there in the standard formula from a book. $y^3+fy+g=0 $ has the solution

$ ({-g+\sqrt {g^2/4+f^3/27} })^{1/3} + ({-g-\sqrt {g^2/4+f^3/27} })^{1/3} $

$ -\frac{f}{3 (-\frac{1}{2}g + \frac{1}{6} \sqrt{\frac{4}{3}f^3+9g^2}) ^{1/3} } == ({-g+\sqrt {g^2/4+f^3/27} })^{1/3} $

How do I check. I want to use sage,not math. In particular the bool() function.

So, I can't browse to the right side of the matrix_plot? documentation. https://ptpb.pw/2A4W.png

Another problem is unlike jupyter-notebook I can't delete one word at a time, forward or backward as Ctrl+backspace doesn't work, as it is reserved for moving text back to the previous cell.

I can't even reach the end of line and the start of line using alt+> as those too are not built-in?

My main problem is editing , and clearing one word using backspace+ctrl, is there an equivalent command?