Head motion [in Turing machines]

The picture below shows the motion of the head for the first million steps. After about 20,000 steps, the width of the pattern produced grows at a rate close to √t.

Head motion [in Turing machines]

The picture below shows the motion of the head for the first million steps. After about 20,000 steps, the width of the pattern produced grows at a rate close to √t.

From Stephen Wolfram: *A New Kind of Science* [citation]