Looks like they each have their own fence. The neighbor has a taller fence. You can see the top of OP’s fence near the bottom of the picture.
People often orient wooden fences so the nice side of it faces inward towards their yard.
Side note:
Sometimes people make their fence with every other slat on the opposite side, so there is no front and back. Both sides are identical. I don’t like how those fences look. It just makes both sides look bad, and you can see through them when approaching from an angle.
Looks like they each have their own fence. The neighbor has a taller fence. You can see the top of OP’s fence near the bottom of the picture.
People often orient wooden fences so the nice side of it faces inward towards their yard.
Side note: Sometimes people make their fence with every other slat on the opposite side, so there is no front and back. Both sides are identical. I don’t like how those fences look. It just makes both sides look bad, and you can see through them when approaching from an angle.