Rule 110

Print the first 100 rows in the Rule 110 cellular automaton starting from an initial single living cell.

Each new row in the life of the automaton should be a new line, and the rules for whether a cell is alive or dead depends on whether it was alive on the previous iteration, as well as the state of the two neighbouring cells. The rules which dictate whether a cell is alive or dead in the next iteration are as follows:

where 1 is alive, 0 is dead, and the middle digit represents the previous state of the current cell.

The first 10 rows are shown here:

         █
        ██
       ███
      ██ █
     █████
    ██   █
   ███  ██
  ██ █ ███
 ███████ █
██     ███