Italy is known for its considerable architectural achievements , such as the construction of arches , domes and similar structures during ancient Rome , the founding of the Renaissance architectural movement in the late-14th to 16th centuries , and being the homeland of Palladianism , a style of construction which inspired movements such as that of Neoclassical architecture , and influenced the designs which noblemen built their country houses all over the world , notably in the UK , Australia and the US during the late 17th to early 20th centuries .