Tagged Questions
2
votes
1answer
69 views
Is this the right equation for this 3D surface?
Is $\frac{\sin \sqrt{x^2+y^2+z^2}}{\sqrt{x^2+y^2+z^2}}$ the right equation for this surface? I am confused what $z$ is doing in there (unless this is an implicit equation). I get something fairly ...
0
votes
1answer
67 views
Identify and sketch the quadric surface?
I'm stuck trying to figure out which type of quadric surface this equation is:
$$\dfrac{x^2}{16} - \dfrac{y^2}{9} - \dfrac{z^2}{1} = 1$$
I have narrowed it down to a hyperboloid, but cannot ...
2
votes
5answers
237 views
Software to display 3D surfaces
What are some examples of software or online services that can display surfaces that are defined implicitly (for example, the sphere $x^2 + y^2 + z^2 = 1$)? Please add an example of usage (if not ...
2
votes
1answer
117 views
Supposedly “trivial” implication that injective surfaces are incompressible
My question is about a passage in Algorithmic Topology and Classification of 3-Manifolds by Sergei Matveev.
Let $F$ be a surface in some $3$-manifold $M$.
$F$ is called incompressible if for every ...
