Question: What influenced architect Andrea Palladio, designer of the Palazzo Antonini, Udine?

Context paragraphs:
Architecture of Chiswick House: Chiswick House is an example of English Palladian Architecture in Burlington Lane, Chiswick, in the London Borough of Hounslow in England.  Arguably the finest remaining example of Neo-Palladian architecture in London, the house was designed by Lord Burlington, and built between 1727 and 1729.  The architectural historian Richard Hewlings has established that Chiswick House was an attempt by Lord Burlington to create a Roman villa, rather than Renaissance pastiche, situated in a symbolic Roman garden.  Chiswick House is inspired in part by several buildings of the 16th-century Italian architects Andrea Palladio (1508–1580) and his assistant Vincenzo Scamozzi (1552–1616).  The house is often said to be directly inspired by Palladio's Villa Capra "La Rotonda" near Vicenza, due to the fact that architect Colen Campbell had offered Lord Burlington a design for a villa very closely based on the Villa Capra for his use at Chiswick.  However, although still clearly influential, Lord Burlington had rejected this design and it was subsequently used at Mereworth Castle, Kent.  Lord Burlington was not just restricted to the influence of Andrea Palladio as his library list at Chiswick indicates.  He owned books by influential Italian Renaissance architects such as Sebastiano Serlio and Leon Battista Alberti and his library contained books by French architects,sculptors, illustrators and architectural theorists such as Jean Cotelle, Philibert de l'Orme, Abraham Bosse, Jean Bullant, Salomon de Caus, Roland Fréart de Chambray, Hugues Sambin, Antoine Desgodetz, and John James's translation of Claude Perrault's "Treatise of the Five Orders".  Whether Palladio's work inspired Chiswick or not, the Renaissance architect exerted an important influence on Lord Burlington through his plans and reconstructions of lost Roman buildings; many of these unpublished and little known, were purchased by Burlington on his second Grand Tour and housed in cabinets and tables the Blue Velvet Room, which served as his study.  These reconstructions were the source for many of the varied geometric shapes within Burlington's Villa, including the use of the octagon, circle and rectangle (with apses).  Possibly the most influential building reconstructed by Palladio and used at Chiswick was the monumental Roman Baths of Diocletian: references to this building can be found in the Domed Hall, Gallery, Library and Link rooms.

Palazzo Dalla Torre: Palazzo Dalla Torre is a patrician palace in Verona, northern Italy, designed by architect Andrea Palladio for Giambattista Dalla Torre.  The "palazzo" was probably built from 1555, but remained unfinished.  Allied bombardment in 1945 demolished a great part of the building.  However, conspicuous remains of Palladio’s construction survive: the majestic access portal and a courtyard with columns and entablature.

Palladian architecture: Palladian architecture is a European style of architecture derived from and inspired by the designs of the Venetian architect Andrea Palladio (1508–1580).  That which is recognised as Palladian architecture today is an evolution of Palladio's original concepts.  Palladio's work was strongly based on the symmetry, perspective and values of the formal classical temple architecture of the Ancient Greeks and Romans.  From the 17th century Palladio's interpretation of this classical architecture was adapted as the style known as Palladianism.  It continued to develop until the end of the 18th century.

Palazzo Schio: Palazzo Schio (also known as Palazzo Schio Vaccari Lioy Angaran) is a patrician palace of the 16th century in Vicenza, northern Italy, whose facade was designed by the architect Andrea Palladio in 1560.

Casa Cogollo: Casa Cogollo is a small palazzo in Vicenza built in 1559 and attributed to architect Andrea Palladio.  Since 1994 it has formed part of the UNESCO World Heritage Site "City of Vicenza and the Palladian Villas of the Veneto".

Andrea Palladio: Andrea Palladio (] ; 30 November 1508 – 19 August 1580) was an Italian architect active in the Republic of Venice.  Palladio, influenced by Roman and Greek architecture, primarily by Vitruvius, is widely considered to be one of the most influential individuals in the history of architecture.  All of his buildings are located in what was the Venetian Republic, but his teachings, summarized in the architectural treatise, "The Four Books of Architecture", gained him wide recognition.  The city of Vicenza and the Palladian Villas of the Veneto are UNESCO World Heritage Sites.

Palazzo Antonini, Udine: Palazzo Antonini is a "palazzo" in Udine, northern Italy, designed by architect Andrea Palladio in the middle of the 16th century for the Antonini family, owner of various other palaces in Udine.

Palazzo Pojana, Vicenza: Palazzo Pojana (also written Poiana) is a patrician palace in Vicenza, northern Italy, attributed to the architect Andrea Palladio, about 1560.

Palazzo Valmarana: Palazzo Valmarana is a patrician palace in Vicenza, Italy, built by architect Andrea Palladio in 1565 for the noble Isabella Nogarola Valmarana.  Since 1994 it is part of the City of Vicenza and the 23 palladian buildings forming the World Heritage Site of the Unesco.

Palazzo Pretorio (Cividale del Friuli): The Palazzo Pretorio or Palazzo dei Provveditori veneti is a palace in Cividale del Friuli, northern Italy, attributed to the architect Andrea Palladio and built between 1565 and 1586.  Until 1990 it is the home of the National Archeological Museum (Museo archeologico nazionale) of Cividale.

Supporting paragraphs: Palazzo Antonini, Udine Andrea Palladio
Answer: Roman and Greek architecture, primarily by Vitruvius