Random-walk-edges-dodecahedron

Calculate the expected number of random moves along the edges of a dodecahedron to get to the opposite vertex.

Usage with JavaScript

1. Open https://andrazznidar.github.io/Random-walk-edges-dodecahedron/JavaScript/
2. Click Start! and wait.
3. Observe the result 35.

Usage with Julia

1. Install Julia high-level programming language.
2. Download the file Random-walk-edges-dodecahedron.jl from the Julia folder in this repository.
3. Run julia Random-walk-edges-dodecahedron.jl from the command line.
4. Observe the result 35.

Usage with Python

1. Install Python High-level programming language.
2. Download the file Random-walk-edges-dodecahedron.py from the Python folder in this repository.
3. Run python3 Random-walk-edges-dodecahedron.py from the command line.
4. Observe the result 35.

Usage with Wolfram Language Script

1. Install Wolfram Mathematica computer program.
2. Download the file Random-walk-edges-dodecahedron.wls from the WolframLanguageScript folder in this repository.
3. Open the file Random-walk-edges-dodecahedron.wls with Wolfram Mathematica and run the script.
4. Observe the result 35.

Details

The vertices are numbered from top to bottom, from left to right, in this orthogonal projection of a dodecahedron: By Parcly Taxel - Own work, Public Domain, https://commons.wikimedia.org/w/index.php?curid=69418360