dream game.md

• there is a fixed width/height rectangle board
• players are circles
• every player start at size 10 let's say
• when somebody goes off the board (player B) the last player (A) who touched player B gets half of its "weight" added
  • perimeter is pi * r**2
  • so the new perimeter is (pi * rA**2) + (pi * rB**2)/2
  • new radius is pi * r**2 = (pi * rA**2) + (pi * rB**2)/2
  • r = sqrt(((pi * rA**2) + (pi * rB**2)/2)/2)
• acceleration is proportional to weight (so the larger the slower)
• when touching another player forces are distributed by weight (e.g. small player can't push large player much)
• they are bots that can easily be killed
• anybody can join/leave anytime

artist's impression :)