54 questions linked to/from Plotting implicitly-defined space curves
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### 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 ...
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### 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. ...
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### 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 ...
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 $(... 1answer 236 views ### Contour3Dplot more graphs in one picture [duplicate] How can I plot two equations in one 3D graph. I have to plot x^2+y^2=1 and x^2+y^2+z^2=2 but I want tu plot only their intersection :( Thank you 6answers 2k views ### Finding length of intersection of two surfaces I would like to know how we find the length of the intersection of two surfaces. For instance, in the following example,a surface intersects with a plane: How do we find the length of intersection ... 3answers 7k views ### I'd like to display field lines for a point charge in 3 dimensions I'd like to display field lines for a point charge in 3 dimensions. Not a force field (short arrows) but continuous field lines that start on the charge. 4answers 30k views ### How to plot an ellipse? I'm new to Mathematica, and I'm finding it difficult to plot an ellipse. I tried using Plot[(x/5)^2 + (y/3)^2 == 1, {x, -5, 5}, {y, -3, 3}] but I'm getting ... 1answer 3k views ### Implementing a first person view of 3D objects in a scene I've created the following scene with a Chinese-style building surrounded by trees, and a horse and a rabbit grazing on the grass in Mathematica (don't ask me why there's a bust of Beethoven in there..... 3answers 6k views ### Plotting contours plot for f(x,y,z)=c I have the following question: I have a file that has structure: x1 y1 z1 f1 x2 y2 z2 f2 ... xn yn zn fn I can easily visualize it with Mathematica using ... 2answers 2k views ### Getting an InterpolatingFunction from a ContourPlot I have a function, say minimizeme[Ω_][β_][ϵ_] = ϵ^2 Ω - Log[2 (Cosh[2 β] + Cosh[2 β ϵ])]/(2 β); I want to find its critical points in$\epsilon\$ for a given ...
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 ...