Even then, it could simultaneously hit multiple pieces (I think 2 is the maximum for real coordinates. 3 probably is doable with IEEE doubles because you can si

Even then, it could simultaneously hit multiple pieces (I think 2 is the maximum for real coordinates. 3 probably is doable with IEEE doubles because you can simultaneously touch 3 if those 3 pieces touch each other at 120-degree angles) Also, knights jump, so for them you definitely need the rules as stated.