188 views

Adding texture to Tube[]

Continuing from here, I would like to Texture lines with thickness. I tried using the normal and the binormal from ...
5k views

Computing Gaussian curvature

Can Gaussian curvature $K$ be computed from WolframAlpha or any other available Mathematica program? Please indicate the program or its reference. If input ...
173 views

Parametric equations and eq. of tangent plane

I have written the following code to determine the equation of a plane tangent to a surface at a given point: ...
139 views

Cannot derive Norm or Normalize when recreating Frenet Serret equations

I'm trying to calculate the torsion of a curve at a point using the following code: ...
98 views

How Can I draw a curve on a sphere in Minkowski 3 space?

There is a curve, which evolves with time, in the the Euclidean space. And the solution of its evolution equations has been used to draw it using this code: ...
499 views

Calculating curvature of a contour

I have an equation of a scalar field in the form $$f(x, y) = x^2 + y^2 + xy + c$$ I want to find the curvature of the contour of the curve at $f_c = f(0.5, 0.5)$. So I need to calculate the ...
89 views

Plotting a vector path on a torus

I am looking to visually represent some properties of vectors when plotted on the plane versus when the are plotted on the torus. Plotting them on the plan is relatively straight forward, however I ...
792 views

Plotting single vectors in parametric plots

I am trying to plot something like the Frenet-Serret Formulas using a parametric plot, like this: ...
669 views

Plotting Complex Numbers as "Arrows" on the Complex Plane

Given the following complex numbers (defined as the values of two functions f and g defined only on the points ...
154 views

How to solve "Coordinate should be a triple of numbers"?

Something seems different with duplicated question "How to solve this error? “should be a triple of numbers or a Scaled form.” ", MMA tips may tell that Abs do not ...
45 views

Finding tangents and curvature of a parametric curve in 3D [duplicate]

I am in a calculus 3 class and cannot figure out how to get Mathematica to solve for unit tangent, normal tangent, binormal tangent, and curvature without getting a supper messy result. This is the ...
207 views

How can I animate the plot of this curve also showing its tangent/normal vectors at each point?

I want to animate the curve given by $\alpha(t) = (u(t), v(t))$ being traced out (and also showing the tangent and normal vector at each point), where $u$ and $v$ are the solutions below ...
2k views

Plotting a 2D shape along a 3D parametric function curve

Say I have a 3D curve that is parametrically defined. How would I be able to plot shapes like figure 8's whose centers are aligned along the 3D curve? Say the curve was: ...