I designed a system of cellular automata based around this idea of colliding lines. You can play with it at http://sciencevsmagic.net/logicgrid http://sciencevs

I designed a system of cellular automata based around this idea of colliding lines. You can play with it at http://sciencevsmagic.net/logicgrid http://sciencevsmagic.net/logicgrid The XOR Sierpinksi's triangle is at http://sciencevsmagic.net/logicgrid/#282800 http://sciencevsmagic.net/logicgrid/#282800 but there are other ways make it too. For example XNOR makes an inverse http://sciencevsmagic.net/logicgrid/#828200 http://sciencevsmagic.net/logicgrid/#828200 If you keep hitting random you'll find plenty of surprising analogues to Sierpinksi's.