Ping
Great Minds think alike.
Sometimes mathematical concepts are dimly anticipated before being formally defined. The spiral might have been determined through fooling with compass/protractor techniques, but its full meaning would be hard to understand without the benefit of the Pythagorean theorem. There would have to be a comparison between how deeply Archemedies understood the properties of the object and how well the Minoans understood it. You aren't going to get that from one picture.
I think this date is actually 1628BC and the same time as the Jewish Exodus from Egypt. The volcano plume would have had to be 30 miles high to be seen from Egypt..."staff by day, torch by night."
The most recent eruption of Pinatubo in the Phillipines was 26 miles high and the one in/around Alaska was greater than 30 miles high.
The Minoans had far more advanced navies than surrounding countries, it wouldn't surprise me if their mathematics were advanced as well.
Everytime I hear about some culture supposedly inventing the mathmatical concept of 0, I never believe it
.....But dividing a circle into more than a dozen equal sections is not a trivial task; try it yourself. ......
Absurdly simple. Divide it into six by taking radial arcs, split one and do it again from tne mid point.
I guess the dude wouldn't have got as much newsprint if he speculated "Maybe it was just an accident...?"
Another one of the "I think I found Atlantis near Cuba" crowd.
the Pythagorean says, "all is number", I say...To all -- please ping me to other topics which are appropriate for the GGG list. Thanks.
- How many finger am I holding up?
- What about letters?
- Must have been a big number that you smoked.
- What's the number for 9-1-1?
New Ice-Core Evidence
Challenges the 1620s age for
the Santorini (Minoan) Eruption
Gregory A. Zielinski, Mark S. Germani
Journal of Archaeological Science
Volume 25, Issue 3
March 1998, Pages 279-289
13 July 1997
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I don't have time this morning to run it down, but suspect this is in reality a very early instance of the Golden Mean. The spiral is generated by plotting values developed graphically by various multiples of Golden mean rectangles.
The Golden Mean is used in the construction of the Great Pyramid so Minoan usage might not be all that big a deal.
By the way, the spiral is incorporated into the geometry of a pine cone so it won't roll down hill.
I think we routinely underestimate ancient societies.
I don't think it is unreasonable to think that at various times in history (and prehistory) some discoveries were made that perhaps only barely missed connection with other ideas that would have launched technologies centuries earlier. I cannot imagine what was lost in the burning(s) of the library at Alexandria... things that took centuries to rediscover and build upon.
I always thought Crete was the leader in civilization until for some unknown reason, possibly attacks from mainland Greece, they ceased to be.
What ever the reason, Crete has always fascinated me.
ping
Interesting
Archimedes certainly did not invent geometry. Ancient civilisations in Iraq, India and China demonstrate that they knew the subject well. Writings have been found, such as student excercise tablets from temples in Babylon.
One link to a discussion of mathematics in Babylon is: http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Babylonian_mathematics.html
A link to a short discussion of Early Geometry: The Babylonians, Egyptians & Chinese: http://library.thinkquest.org/C0110248/geometry/history1.htm
The above link even says, "The Pythagorean Theorem, although named after Pythagoras, was actually already known in ancient times.". It goes on to say why the writers think so.
In answer to your question, I think Archimedes published material that he was taught, added some original work and called the whole body of work his own. More a plaigarist than a Korean fake.
http://www.ualr.edu/~lasmoller/fibonacci.html
It's also heavily used in finance to analyze economic cycles.
BUMP
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