Hikers’ paths crisscross the slopes and also climb the mountain, via forests and manicured lawns at Kirstenbosch National Botanical Garden, the lush wine-producing suburb of Constantia, and steep Platteklip Gorge. In town, the V&A Waterfront is a chic shopping and entertainment district that includes the Two Oceans Aquarium. Historic sites include the Dutch-built, 17th century Castle of Good Hope. City beaches range from ritzy Clifton to Boulders, where there’s a penguin colony. Popular out-of-town trips take in Chapman’s Peak Drive, with coastal views, and the Cape of Good Hope, where craggy cliffs meet the ocean.