The first clue is that there are two types of steps. One is within a hexagon and one is between hexagons. These can be interpreted as two distinct functions.

When moving in clockwise direction, the function within a hexagon is x_t+1 = 2 * x + 1

The function between haxagons is x_t+1 = (x * 2) % 3

Here, we have a distinct starting point and four types of movements.

We can go up, down, left, and right, depending on the current position. Each direction corresponds to a function.

x_left = x + (x – 1)

x_right = x – (x – 5)

x_up = x + 3

x_down = x – 1

The answer is 31.

The puzzle creator has not yet shared the solution.