If you're going to make the trip for the wedding - you should absolutely take a day or two to explore what Central France has to offer. It's a completely different experience than Paris and totally worth a visit.
Do your homework but here's a few of our recommendations.
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Eat & Drink
French cuisine varies from area to area. Central France is "terroir" cooking - fresh yet rich flavors. Some of your favorite wines are also from the area; Sancerre, Pouilly-Fume, Chinon, Muscadet, Vouvray to name a few.
There are endless of castles to visit in the Loire Valley. It's where are the kings had their summer homes. Must see include Chambord, Chenonceau and Clos Lucé.
explore the villages
There are some really beautiful picturest villages to visit in the area - Amboise, Blois and Angers are our personal favorites.