Brainteasers

Cube Crawlers ★★★

On the planet Gnirica, the peculiar cube plant (cubus vulgaris gniricae) grows; see the image below.

Puzzle

On the perfect cubical flower of this plant, the cube crawler (ambulator cubi gniricae) lives. This creature is born at the bottom of the flower (point A), and throughout his life, it walks along the sides of the cubical flower. The cube crawler traverses one whole side in one year, and if it reaches a vertex, it chooses a new direction (it can also decide to walk back along the same side it came from). As soon as the cube crawler arrives at the top of the cubical flower (point B), it dies. Consequently, cube crawlers live for at least three years.

The question: What age do cube crawlers reach on average?

The solution: Click here!