This is the Grasshopper definition that generates a tetrahedral helix (also called as Boerdijk-Coxeter helix) but in a funny way. This geometry is also a solution for tangent spheres. I generated the helix using Anemone components for recursion and gave it a little bit of responsiveness. I don’t know if it depends on the speed of your CPU but if it is slow enough, you’ll see the snake game of tetrahedral helix as it is driven by your input from a control knob. I’m not that interested in phone apps nowadays but this could easily be developed further as a real game :P

Here is the Grasshopper definition: [GHX: 0.9.0076] (Requires Anemone Loop Components to be installed)