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Mathematics Mathematica Graphics and Visualization Wolfram Language

Graphing parametric surfaces

Posted 11 years ago

How do you plot x = 2sinh(u), y = v, z = 2cosh(u) in Wolfram Language or Mathematica? Everything I try fails and I'm ready to shoot my computer. Do I need a different CAS? Why is this so hard?

POSTED BY: Michael Gerardo

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Posted 11 years ago

You wouldn't happen to know how to graph a TNB frame? a tangent-normal-binormal frame on a curve in 3D you will hardly do with a simple 3D graphing program. With Mma you can do it. Again, read a bit, the mathematical name is Frenet-Formulae http://mathworld.wolfram.com/FrenetFormulas.html and here is a simulation http://demonstrations.wolfram.com/FrenetFrame/ you can download the notebook, see all formulae and experiment with it. You need to compute the tangential vector, the normal vector and the cross product of the two former and you are done, it's necessary that the curve has 2 continous derivatives at least.

POSTED BY: Udo Krause

Posted 11 years ago

it should be a hyperbolic parabloid of some form see it there http://mathworld.wolfram.com/HyperbolicParaboloid.html , please and display it ParametricPlot3D[{u, v, 1/3 u v}, {u, -2, 2}, {v, -3, 4}] your parametrization was wrong. It can't be simpler, right? In any case you should follow the syntax (cosh(u) from school is Cosh[u] in Mathematica) if you want to keep your computer healthy and yourself productive.

POSTED BY: Udo Krause

Posted 11 years ago

Thank you, this program is confusing to me. I just wanted a simple 3D graphing program.

POSTED BY: Michael Gerardo

Posted 11 years ago

No, y is independent of x and z. I'm trying to plot a parametric surface. I can see the example in Mathematica but it doesn't accept my input. It recognizes v as an independent variable in the example but doesn't like my input. it should be a hyperbolic parabloid of some form.

POSTED BY: Michael Gerardo

Posted 11 years ago

what is `v` in `y = v` ? assuming this is a typo and it is meant to be `u` then ClearAll[u] ParametricPlot3D[{2 Sinh[u], u, 2 Cosh[u]}, {u, -Pi/4, Pi/4}, PlotStyle -> {Thick, Red}, AxesLabel -> {x, y, z}] For y=v then ClearAll[u, v] ParametricPlot3D[{2 Sinh[u], v, 2 Cosh[u]}, {u, -Pi/4, Pi/4}, {v, -Pi/4, Pi/4}, PlotStyle -> {Thick, Red}, AxesLabel -> {x, y, z}]