We've advanced to squares.

Julie Rehmeyer @ Science News:
"The Harvard graduate student in physics was fascinated by the beautiful and intricate geometric "girih" patterns on the 800-year-old buildings there, and he wanted to know how ancient artisans had created them. He discovered more than just a clever construction method. He also found an entirely unexpected level of mathematical sophistication in the designs, pointing at mathematical ideas that weren't formally developed until hundreds of years later."
I'm not sure how 800 years ago counts as "ancient", but interesting nonetheless.

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