We can play a game in which the letter “A” represents a move right one unit in the plane, “T” a move left, “G” a move up, and “C” a move down.
Starting from the point (0,0) we can read the spinach genome (in the 5′ -> 3′ direction) to get a sequence of points in the plane.
What does this sequence look like?
Using the first 30,000 nucleotides of the spinach genome we get the following planar walk:
We’d love to call this a “random walk” but of course it’s completely deterministic.
By way of comparison/contrast, here’s the walk that results, in the same way, from the first 30,000 nucleotides of the Mycoplasma genitalium genome: