The unit distance graph generated by the caltrop is interesting. The 150 long diagonals all have unit length, but it's hard to tell what's going on. Here's a clearer picture.
- another post of yours has been selected for the Staff Picks group, congratulations !
We are happy to see you at the tops of the "Featured Contributor" board. Thank you for your wonderful contributions, and please keep them coming!
In the above, I mentioned that I could bound a volume of 1/2 with 96 points, with no two points greater than 1 apart. The mysterious oleg567 managed to bound 1/2 with 86 points. That's much, much better than my best solution.