# Tagged Questions

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### How to Fit experimental data with 4D ParametricNDSolve?

Let me first explain the background problem. I'm trying to solve a problem with a projectile motion in 4D such that the position vector is: $\boldsymbol{r}(t)=\boldsymbol{r}[x(t),y(t),z(t)]$ I have ...
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### How to combine ParametricPlot and RegionPlot?

I have two implicitly defined equations. I plot the implicit curve using parametric plot. ...
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### ParametricPlot3D of Boy's surface

I'm trying to visualize Boy's surface using Bryant's parametrization, as per the MathWorld article. However, I'm not sure I understand the parametrization, and I don't know how to implement it when ...
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### Plot curves like equation problems

I'm proving to plot and edit some wolfram alpha laminae, but when I try it, I don't have any result, for example: (from:http://blog.wolframalpha.com/data/uploads/2013/07/Curvespt31.cdf) ...
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### Eliminating parameter from parametric equation

In Mathematica Online I tried: Eliminate[{x == t + t^3, y == t - t^3, z == 1 + t^4}, {t}] ...
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### Solve on parametric equation produces inequal results

I have a parametric (parameter t) equation in two dimensions (vectors). s = Solve[pt[t] == qt[t], {a, b}] Both pt and qt are parametric lines using a and b as ...
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### Error Exporting STL --insufficient elements to export

I am trying to export the following code as an STL file: ...
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### Unable to Solve (for arclength parametrization)

I am having trouble with Mathematica while trying to re-parametrize a curve with respect to its arclength. I need to get the old parameter s written in terms of arclength a so the code is ...
666 views

### How to create these famous surfaces in topology with the desired color effects?

It was said such real objects of famous topological surfaces were plotted by the cooperation between mathematician Richard Palais and artist Luc Benard, and published as the cover page of Science ...
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### Formating in Mathematica 10 Find the point of intersection of a plane

Hi all i am new here and i am trying to figure out how to correctly format in Mathematica 10...Finding the point of intersection of a line to a plane. I know how to do it by hand. 1) Find the ...
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### Why is there always a horizontal tail line on the parametric curve?

I am trying to create a smooth, piecewisely continuous and differentiable curve by using Mathematica's Floor function, which is as in: ...
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### Plot a parametric equation in cylindrical coordinates

I'm looking for a way to plot this parametric equation on cylindrical coordinates. r = e^t theta = t+1 z = e^2t Any help would be appreciated
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### ParametricPlot3D doesn't work with components of a vector input

I can't understand why ParametricPlot3D works, when the input is a vector and does not work, when the input is separated components of the vector (it returns an empty plot). The same happens for ...
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### What's wrong with the code?

The following code doesn´t fill the base of the picture. ¿Why? ...
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### Solving a backward-forward matrix equation with boundary conditions

I have this code ...
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### Not seeing plot of solution returned by NDSolve

I am having trouble with generating a parametric plot with the following code: ...
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### Use ParametricNDSolve with Plotting

I am attempting to solve a differential equation of the form $$\frac{dx}{dt}=ax+by \\ \frac{dy}{dt}=cx$$ with parameters $0<a<1$ and $a,b,c \in \mathbb{R}$. I am able to use NDParametric ...
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### Plotting Complex Numbers - Functions of Complex Numbers [duplicate]

So I have to generate a few different plots with z, where z is a complete number... z[x_, y_] := x + y*I F[z_] := (25*Pi*z*I)/(1 + 10*Pi*z*I) First, I need to ...
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### Finding roots of a function with a varying parameter

So I'm brand new to Mathematica, and basically what I want to do is find the roots of a function at varying time intervals. The function I'm using is: ...
174 views

### Solve a system of parametric equations

I have a system of parametric equations (with a total number of 8). I tried to solve this system by using Solve. I have not received an answer after about 4 hours! ...
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### System of ODEs with Parameters

FYI: I am new to Mathematica so my questions are probably pretty amateur. I am attempting to write a code to numerically solve the system of equations: {dp/dt= ap-bpx {dx/dt= spx-yx where t is the ...
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### Plotting the Schwarz D minimal surface

With the aid of the following paper I'm trying to plot the Schwarz D minimal surface: paper. So far I have followed all the instructions to the best of my abilities and have come up with the following ...
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### Simplify trigonometric equation knowing that $\sin(a)=n \sin(b)$

I was working on a problem involving trigonometry. I used Mathematica to help me in solving it. I ended up with this formula: ...
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### NDSolve a differential equation depending on some parameter

I have to solve the differential equation, to get a plot of T and R, ...
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### How to plot this region?

Consider the $2\times 2$ matrices \begin{align} A=\begin{bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{bmatrix} \end{align} and \begin{align} B=\begin{bmatrix} b_{11} & b_{12} \\ ...
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### Find $\phi$ as function of $\theta$ for Villarceau circle in a torus

May I request for your indulgence, to enable Villarceau circles visualization made by the tip of a line rotating inside a circular torus if possible based on unification of parameters. EDIT2: ...
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### ParametricPlot3D: The Mesh shows some unexpected wires to the origin. How to remove them?

In the code below a hexagonal shape is defined and plotted. The ParametricPlot3D shows the hexagonal design almost as intended. However, the mesh makes some strange "wires" to x=y=0. This is ...
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### Reading parameters from file and use them as parameter of a function [closed]

Hi all: given the code ...
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### Plotting the real positive solution to a parametric equation [duplicate]

I have the following parametric equation $$x^2-a=0$$ where $a$ is a given parameter. I would like to plot the nonnegative real root ($\sqrt{a}$) using NSolve as $a$ varies from $0$ to $1$. Can ...
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### ParametricNDSolve problem

when i use ParametricNDSolve, the output is not a explicit function, for example: ...
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### Plotting knot torus

I'd like to plot together a torus and a knot on it, that is, closed curve wrapping around the torus, $m$ times around a circle and $n$ times around the other circle. It will be used to explain ...
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### Syntax errors in mollusk shell function plot [closed]

I would like to reproduce this plot with Mathematica: In fact, both the mathematical background of such plot, and its implementation in Mathematica are here. This code is from web page I linked ...
203 views

### How do you create such an animated GIF via Mathematica?

Is it possible to create such kind of GIF via Mathematica?
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### Find eigen energies of time-independent Schrödinger equation

I'm trying to get the eigenvalues of a one dimensional time-independent Schrödinger equation, $-\frac{h^2}{2m_0}\frac{d^2\psi}{dx^2}+U(x)~\psi=Ei~\psi$ where U(x) is some potential and Ei is the ...
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### cycloid parametric [closed]

How do I enter 3 parametric equations for cycloids corresponding to circles with radii 1, 2, and 4. I have tried ...
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### How to use ParametricPlot and fill closed areas with blue and red?

The current code is : ...
623 views

### Visualizing Line Integrals

I have a plane curve $C$ described by parametric equations $x(t)$ and $y(t)$ and a function $f: \mathbb{R}^2 \rightarrow \mathbb{R}$. The line integral of $f$ along $C$ is the area of the "fence" ...
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The dynamic billiard demonstration, that can be found on wolfram demonstrations (here), is only designed for an ellipsoid-shape boundary(snapshot below). The idea is to have a dynamic billiard with ...
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### RegionPlot Difficulty

This code: Plot3D[ArcTan[Tan[y/x]], {x, -1, 2}, {y, -2, 1}, RegionFunction -> Function[{x, y}, 1 <= x^2 + y^2 <= 4 && y <= x]] Give this ...
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### How can I plot a 3-variables function to identify the neutral surface and a region

I wanted to plot a 3-D solid region, in which my function f(x,y,z)= x (1/(1 + 0.06))^3 + y (1/(1 + 0.06))^2 + (2 z^2)/15 (Sin[10 Degree])^2 -z/3 Cos[10 Degree] ...
152 views

### Filling between ParametricPlot and Plot

There are some similar questions: (1) (2) have been ask, but I think this is a different one. If we have a ParametricPlot and a ...
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### Add constraints to a variable number of parameter in Minimize

i want to use Minimize with a variable number of Parameter which works fine: ...
746 views

### Eliminating the Parameter: Transform parametric equation to Cartesian equation and draw arrows along parametric growth

Hey guys I really could use some help on this calc 3 problem. I'm stuck on how to write the code for this problem: a) Eliminate the parameter to find a Cartesian equation for a parametric curve. b) ...
118 views

### PolarPlot works, ParametricPlot doesn't [closed]

Am new to Mathematica, so if this question has been asked already, apologies. Have a (polar) spline function and Mathematica did a fine job of calculating from my inputs and giving me the piecewise ...
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...
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### Intersection of Osculating Circle with a Parametric Curve

I have the following Parametric plot Generated from the following: ...
194 views

### I need to remove a line from a ParametricPlot

What happens is that when I make this ParametricPlot: ...
296 views

### How can I get the function of a plotted trajectory? [closed]

I solved two ODEs, which are a function of t, numerically. The first ODE is the vertical equation of motion and the second one is the horizontal equation of that ...