# Tagged Questions

2k views

### How to make the length of a car moving on a roller coaster track remain unchanged?

For any arbitrary parametric smooth curve, how can I make the length of a car remain unchanged? \documentclass[pstricks,border=12pt]{standalone} \usepackage{pst-plot,pst-node} \pstVerb { ...
416 views

### Plot the cusp catastrophe surface

I'm trying to draw (plot) the Cusp catastrophe surface into latex using any software logic. I am completely stuck because I'm definitely not a mathematician. The surface has the potential: V(x) = ...
3k views

### Drawing a Reuleaux Triangle

A Reuleaux triangle is a shape of constant width sort of like a rounded equilateral triangle. (Reuleaux triangle - Wikipedia, the free encyclopedia) It can be formed by the intersection of three ...
226 views

### How to automatically draw the images of a point placed between 2 inclined mirrors?

Consider a point X placed between two inclined mirrors as follows. \documentclass[pstricks,border=20pt,12pt]{standalone} \usepackage{pst-eucl} \def\Angle{37}% extreme case in which 360/\Angle-1 is ...
3k views

### The Spiral of Roots in TikZ

How can one create a spiral of roots as shown in the diagram below: where one can use a command to draw more parts to the spiral. For example, a command like \sqrtspiral{1}, \sqrtspiral{2}, ...
665 views

### Chaotic billiard with TikZ

I'm looking for a TikZ library that could help me to represent different shapes of chaotic billiards. Any idea?
252 views

### Is there another better way to have a region with gradient opacity?

My objective is to get a region with gradient opacity. In the following MWE, the region is a quarter of a disk on the top a bird. I made the gradient opacity by partitioning the sector into 45 ...
2k views

### What is the simplest way to draw this triangle exactly?

I want to see how we can exactly construct the following diagram as simple as possible. It means that the manual calculation should be avoided. Note that the angle marks attached to angles ...
2k views

### How to automatically draw tree diagram of prime factorization with LaTeX?

I want to have a simple interface to automatically draw tree diagrams of prime factorization. For example, by invoking the following code, \PrimeTree{36} \PrimeTree{90} \PrimeTree{112} ...
473 views

### How to draw spherical triangles?

Does anyone know how to draw spherical arcs and spherical triangles using LaTeX?