In my opinion, Villa de Leyva is by far the most worthwhile day (or overnight) trip from Bogotá. Bogotá is the capital of Colombia and is located pretty much in the center of the country, high in the Andes mountains. While Bogotá is easy to fly in and out of, transportation between Bogotá and other Colombian cities without a major airport can be difficult, and is pretty much limited renting/hiring a car or taking a public bus. As such, day trips, short breaks, etc. can be more difficult here than in other countries.