Linked Questions

3
votes
3answers
1k views

How to obtain the coordinates of the intersection line of two surfaces? [duplicate]

I can plot the intersection line of two surfaces $f$, $g$ by using: ...
8
votes
2answers
426 views

How to plot a surface from a system of equations? [duplicate]

It seems like a natural thing to do, however I can't seem to find anything on the docs nor here on SE. What I'd like to plot is the locus of solutions to a system of (polynomial) equations, e.g. $$\...
0
votes
1answer
1k views

Plotting a curve in 3D [duplicate]

Say I have two polynomials in $\mathbb{R}[X,Y,Z]$, whose intersection of zero loci correspond to a curve in the 3D space. What is the best way to plot the curve? Example: $$ f = X^2+Y^2-Z^2, \qquad ...
5
votes
2answers
89 views

Visualize manifold specified by equalities [duplicate]

Suppose I have two nonlinear equalities $x^3 = y^2, y = z^3$. How can I visualize the manifold in $\mathbb{R}^3$ that is generated by simultaneously satisfying the two equalities? I think ...
1
vote
1answer
349 views

To plot 3D graph with a region boundary as the constraint [duplicate]

How to get the output graph which consider only x^2+y^2=4 (the boundary of the region only)? I found this on the Help. ...
1
vote
1answer
228 views

Contour3Dplot more graphs in one picture [duplicate]

How can I plot two equations in one 3D graph. I have to plot x^2+y^2=1 and x^2+y^2+z^2=2 but I want tu plot only their intersection :( Thank you
0
votes
1answer
356 views

How to plot a solution set? [duplicate]

I have two functions, let's call them $F1$ and $F2$. Both take the same three arguments: $x1, x2$ and $\epsilon$. With every $\epsilon^* \in [0,1]$, there should be either zero or one unique point $(...
0
votes
0answers
246 views

How to find the intersection curve between two surfaces [duplicate]

I'm trying to find the graphic of the curve of the intersection of the hyperbolic paraboloid $z=y^2-x^2$ and the cylinder $x^2+y^2=1$. I could show them together: I want to see the curve of ...
38
votes
6answers
2k views

Finding length of intersection of two surfaces

I would like to know how we find the length of the intersection of two surfaces. For instance, in the following example,a surface intersects with a plane: How do we find the length of intersection ...
30
votes
3answers
6k views

I'd like to display field lines for a point charge in 3 dimensions

I'd like to display field lines for a point charge in 3 dimensions. Not a force field (short arrows) but continuous field lines that start on the charge.
15
votes
4answers
27k views

How to plot an ellipse?

I'm new to Mathematica, and I'm finding it difficult to plot an ellipse. I tried using Plot[(x/5)^2 + (y/3)^2 == 1, {x, -5, 5}, {y, -3, 3}] but I'm getting ...
57
votes
1answer
3k views

Implementing a first person view of 3D objects in a scene

I've created the following scene with a Chinese-style building surrounded by trees, and a horse and a rabbit grazing on the grass in Mathematica (don't ask me why there's a bust of Beethoven in there.....
9
votes
3answers
6k views

Plotting contours plot for f(x,y,z)=c

I have the following question: I have a file that has structure: x1 y1 z1 f1 x2 y2 z2 f2 ... xn yn zn fn I can easily visualize it with Mathematica using ...
17
votes
2answers
2k views

Getting an InterpolatingFunction from a ContourPlot

I have a function, say minimizeme[Ω_][β_][ϵ_] = ϵ^2 Ω - Log[2 (Cosh[2 β] + Cosh[2 β ϵ])]/(2 β); I want to find its critical points in $\epsilon$ for a given ...
18
votes
1answer
2k views

How do I find all the solutions of three simultaneous equations within a given box?

Sometimes, one needs to find all the solutions of three simultaneous nonlinear equations in three unknowns $$\begin{align*}f(x,y,z)&=0\\g(x,y,z)&=0\\h(x,y,z)&=0\end{align*}$$ within a ...

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