Rated
Aug 18 2008
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1 review
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islam, mathematics
• google.com
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Pattern from 15th Century archway of Darb-i Imam shrine, Isfahan, Iran
Image courtesy of Peter Lu/Science/Harvard University
Looks like Roger Penrose from the 1970s...
but it ain't.
It's Muslim mathematics from hundreds of years ago.
from the page:
It was so amazing to me
to find out how early Muslim Mathematicians
were so advanced in Geometry.
This can be noticed very clearly through the early Islamic architecture.
That's exactly what Peter J. Lu from Harvard University
had discovered during his visit to Uzbekistan.
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.
Lu's determination to find out took him on a journey through hundreds of photographs
of Islamic architecture in the libraries at Harvard--and now it's landed him an article in Science.
When Lu looked at photographs of Islamic buildings,
he found that he could break the patterns on their surfaces up
into the same shapes, even though the shapes often weren't immediately visible.
"I couldn't sleep for days," he said. "I skipped Christmas break to work on it."
The research shows that, by 1200, an important breakthrough had occurred
in Islamic mathematics and design.
"It's absolutely stunning," Harvard's Peter Lu said in an interview.
"They made tilings that reflect mathematics
that were so sophisticated that
we didn't figure it out until
the last 20 or 30 years,
[as below, a Penrose tiling]

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