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Goodbye, Pi?
Posted: Fri Jul 01, 2011 5:21 pm
by owlice
Mathematicians Want to Say Goodbye to Pi
By Natalie Wolchover, Life's Little Mysteries Staff Writer
29 June 2011 12:49 PM ET
"I know it will be called blasphemy by some, but I believe that pi is wrong."
That's the opening line of a watershed essay written in 2001 by mathematician Bob Palais of the University of Utah. In "Pi is Wrong!" Palais argued that, for thousands of years, humans have been focusing their attention and adulation on the wrong mathematical constant.
Two times pi, not pi itself, is the truly sacred number of the circle, Palais contended. We should be celebrating and symbolizing the value that is equal to approximately 6.28 — the ratio of a circle's circumference to its radius — and not to the 3.14'ish ratio of its circumference to its diameter (a largely irrelevant property in geometry).
Last year, Palais' followers gave the new constant, 2pi, a name: tau. Since then, the tau movement has steadily grown, with its members hoping to replace pi as it appears in textbooks and calculators with tau, the true idol of math. Yesterday — 6/28 — they even celebrated Tau Day in math events worldwide.
But is pi really "wrong"? And if it is, why is tau better?
The mathematicians aren't saying that pi has been wrongly calculated. Its value is still approximately 3.14, as it always was. Rather they argue that 3.14 isn't the value that matters most when it comes to circles. Palais originally argued that pi should be changed to equal (approximately) 6.28 while others prefer giving that number a new name altogether.
More
http://www.lifeslittlemysteries.com/is- ... -tau-1815/.
Re: Goodbye, Pi?
Posted: Fri Jul 01, 2011 5:34 pm
by neufer
Re: Goodbye, Pi?
Posted: Fri Jul 01, 2011 6:46 pm
by Ann
Good-Bye
Pi
You Lie!
Die!
I
Cry.
And I bow down to neufer. The beauty of that formula I hope that "formula" means mathematical statement as well as gruel for babies is humbling, seriously. Particularly when your head understands nada, but your eyes can feast on the beauty of it.
Ann
Re: Goodbye, Pi?
Posted: Fri Jul 01, 2011 9:49 pm
by Beyond
The problem with Pi seems to be that it is not edible. Simple to correct, though, just add an 'e'. Resturants have always cut pie by the diameter method, so the slices will be ready to be easily served when called for. Me, i've always used the tau method, by cutting from the center out, along the radius. So tau is nothing new to me. I bet if you stopped and though about it, you'd discover that you've almost always used the tau method any time you actually used Pie,also. So whats the big deal about Pi
Re: Goodbye, Pi?
Posted: Fri Jul 01, 2011 10:51 pm
by orin stepanek
Re: Goodbye, Pi?
Posted: Sat Jul 02, 2011 12:38 am
by Beyond
Yum! Homemade apple Pi er, pie. You wouldn't happen to have any vanilla ice cream to go with it, would you?? :insert scarfing it down icon here:
Re: Goodbye, Pi?
Posted: Sat Jul 02, 2011 1:34 am
by owlice
Re: Goodbye, Pi?
Posted: Sat Jul 02, 2011 2:41 am
by Beyond
Very well put owlice
you have a nack for
words er, icons.
Re: Goodbye, Pi?
Posted: Sun Jul 03, 2011 2:56 pm
by neufer
π/2 = the area ratio of a circle to its inscribed square.
π/4 = the area ratio of a circle to its circumscribed square.
π/4 = the perimeter ratio of a circle to its circumscribed square.
Re: Goodbye, Pi?
Posted: Sun Jul 03, 2011 10:17 pm
by Beyond
Even with the picture, it's still all Greek to me
Re: Goodbye, Pi?
Posted: Sun Jul 03, 2011 10:52 pm
by neufer
Beyond wrote:
Even with the picture, it's still all Greek to me
Mesopotamian actually. Pi had an early real significance:
A Mesopotamian limestone cylinder seal of diameter D
would form an impression of width Pi x D; it's a simple as that.
However, mathematically: π/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ... makes more sense.
In no way does 2π make more sense than either
http://en.wikipedia.org/wiki/Cylinder_seal wrote:
<<A cylinder seal is a cylinder engraved with a 'picture story', used in ancient times to roll an impression onto a two-dimensional surface, generally wet clay. Cylinder seals were invented around 3500 BC in the Near East, at the contemporary site of Susa in south-western Iran and at the early site of Uruk in southern Mesopotamia. They are linked to the invention of the latter cuneiform writing on clay cylinders. They were used as administrative tool, jewelry and as magical amulets, later versions would employ notations with Mesopotamian hieroglyphs. In later periods, they were used to notarize or attest to multiple impressions of clay documents. Graves and other sites housing precious items such as gold, silver, beads, and gemstones often included one or two cylinder seals, as honorific grave goods.
The seal itself was made from hard stone, glass, or ceramics such as Egyptian faience. Many varieties of material such as hematite, obsidian, steatite, amethyst and carnelian were used to make cylinder seals, but lapis lazuli was especially popular because of the beauty of the blue stone and as The alluvial country of Mesopotamia lacks good stone for carving; hence the large stones of early cylinders were imported probably from Iran.
While most Mesopotamian cylinder seals form an image through the use of depressions in the cylinder surface (see lead photo above), some cylinder seals print images using raised areas on the cylinder. The former are used primarily on wet clays; the latter, sometimes referred to as roller stamps, are used to print images on cloth and other similar two dimensional surfaces. Cylinder seals are a form of impression seal, a category which includes the stamp seal and finger ring seal.>>
Re: Goodbye, Pi?
Posted: Mon Jul 04, 2011 2:46 am
by Beyond
Neufer, no matter how you spell (or explain) Mesopotamian, it's still 'Greek' to me.