An attempt at using recursion

All of my projects to date have required step by step instructions (some upwards of 300 lines of code!), so I decided to have a go at working out how to create a recursive code. After studying "Cayley graph 3D" working out in my head how the code was constructed, I was finally able to start my own. The following is based on an image of 

Cayley Graph of the Free Product Z₃ * Z₅

_{After much trial and error I was able to develop ...}