How are the ideas of Classical Greek art...?

Question

How are the ideas of Classical Greek art, Renaissance Humanist art and literature tied to mathematics, science and geography?

Answer 1

Artists during these periods (also many other periods and regions but it still applies) spent a great deal of time studying the sciences and math in an attempt to create perfection. They often studied anatomy directly from both human and animal corpses (sometimes legally, sometimes not so much) to learn how to better represent the forms in their chosen medium. For the same reasons they also studied botany. Math was useful in determining and representing ideas like proportion and perspective. Geography for landscapes.

Da Vinci is an excellent source for examples of all of this. His sketchbooks are filled with botanical and anatomic drawings, many just little sketches scribbled in the margins while working on something else. He also produced many technical and geographical sketches, as well.

Another Renaissance artist to look into is Albrecht Durer. He did many etchings and water colour sketches of botanical and anatomic subjects.

Answer 2

Greek architecture is based on the golden ratio. If you notice all of those Greek and Greek revival buildings, they all have balance. Same with Greek statues. This is the era of scientific reasoning. Everything is logical. I'm not sure about geography.