Palladio's work was so influential that there's a style named after him which is called Palladianism.
The building shown is an example of palladianism. Most palladianism buildings have symmetry, proportion, and a temple front, like the picture shown above. Palladio wrote the four books of architecture, which inspired many architects and engineers. Palladianism can be seen around the world. The white house would be an example which shows palladian motifs.