1 From West Dulwich Station turn right along Thurlow Park Road, cross the road and turn right, just after passing the playing fields, into College Road.
2 Follow the road past the toll gate, and after a further 550 yds (503m) find a path on your left, practically opposite Sydenham Hill Station. Walk through the kissing gate and along Low Cross Wood Lane, which descends quite steeply to reach another gate. Opposite this is an Italianate building, the Dulwich Wood House (now converted into a pub).
3 Turn left into Crescent Wood Road and, opposite a block of flats, go through another kissing gate into Sydenham Woods, a nature reserve managed by the London Wildlife Trust. Walk down the slope and turn right down the steps. Follow the track and, where another one meets it, bear to the right of a wooden marker, to the left of which are some ruins. Next bear left and, a few steps further on, you will pass a pond. Turn right to join a long path that follows the trackbed of an old railway. (If you'd like to see the remains of the old railway tunnel, turn left here and then retrace your steps.) Where the path ends go up some steps on the left and bear right to follow a row of wooden posts. There are some good views across London from here. Go through a kissing gate and continue ahead, ignoring the bridge on your right, along the wide Cox's Walk, a path that passes the golf course.
4 At the end turn left, along Dulwich Common Road. After 440yds (402m) turn right into Dulwich Park. Take the wide tarmac path on the left, past the park lodge. Where some paths meet take the central path, then bear right, with the lake on your right. A few paces beyond a bronze statue, cross the bridge over the lake, bear right and take the path to the park gates, towards a white building in College Road.
5 Turn left and cross the road to visit the Dulwich Picture Gallery. Continue along this road. At Dulwich Common turn right to retrace your steps back to West Dulwich Station.