Two years ago or so, a friend of mine showed me a neat trick. The idea is very simple:
- Start of at a corner of an equilateral triangle
- Randomly choose any of the three corners
- Go half-way towards that corner
- Mark this spot
- Goto step 2 and do this until you’re sick
So if we do these steps a couple of times we end up with something like:
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and 
and then calculate the coordinates as:
