here's where i am but you're just going to tell me i'm wrong without letting me understand it. you don't like my interest in finding what's possible
# the collision point is the earliest intersection of the swept-sphere paths the two spheres travel on # selfdot(pos1+vel1*t) = rsquared # selfdot(pos2+vel2*t) = rsquared # selfdot(touchpt - (pos1 + vel1*t)) = rsquared # selfdot(touchpt - (pos2 + vel2*t)) = rsquared # simpler is to compare their distances to the sum of their radii (inhibition forced us to look up on the internet >( ) # selfdot(pos1 + vel1*t, pos2 + vel2*t) = 4rsquared # even simpler is to consider one the reference frame for the other # selfdot(pos12+vel12*t) = 4rsquared # sum(pos12)**2 + sum(pos12*vel12)*t + sum(vel12)**2*t # it's a quadratic equation where A = sum(vel12)**2, B = sum(pos12*vel12), and C = sum(pos12) # the quadratic equation is (-B +- sqrt(B^2-4AC))/(2A) # so it's immediately rational from A, meanwhile you'd need B^2-4AC to be a square number or a rational of square numbers
i'm starting to understand myself around it a little it looks like it's not reasonable to make B^2-4AC a square number, and very hard to make it a rational of square numbers in a way that doesn't cause precision explosion and that's really similar to something being impossible, and contains a space where it's possible that it's impossible and impossibility is a huge projected/introjected inhibition i have, associated with hopelessness and worthlessness and suicide and harm to my loved ones and stuff so i try not to develop concepts of impossibility. it's been quite nice to have reversed that