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Today (some of us) are celebrating international "Pi Day" in respect of the beloved and universal constant.  (Source: Blippit)

Michael Hartl, a Cal-Tech Ph.D graduate in physics has penned a treatise claiming we should instead be celebrating a constant TAU. Not the the inverse of time, like some of you engineers might think -- Dr. Hartl claims 2 pi should be called tau and celebrated (Omicron might be a better suggestion, though...).  (Source: Michael Hartl/Bob Faz)
"Tau" may simplify the familiar circumference formula, but does it have the same ring to it as "pi"?

For those of you who aren't in Math Club, be informed -- 3/14 marks the unofficial "Pi Day".  That's right, the legendary constant (π=3.14159...) has it's own honorary holiday, though most don't remember to celebrate it -- well other than the math obsessed a certain viral YouTube musician [video].

But on Pi day, some people are trying to introduce a new constant "Tau".  Tau (τ) is often used by engineers to represent the inverse of time, but Michael Hartl [profile], Ph.D thinks of it as something quite different -- two pi.

Dr. Hartl attended a who's who of prestigious universities, studying undergraduate physics at Harvard University, participating in graduate chaos theory studies at the University of Maryland, and finally obtaining his Ph.D at the California Institute of Technology.

But rather than jump back into the world of academia alone, Dr. Hartl split his time with various entrepreneurial ventures.  Today he continues to split his time between his two loves -- education and business.

But perhaps no business venture of the educator has been as outlandish as his treatise The Tau Manifesto.  Inspired by Bob Palais' [profile] essay Pie is wrong! [PDF] Dr. Hartl dreamed up the atypical use of the t-like Roman numeral.

He argues that we should be celebrating 6/28 as Tau Day, and 3/14 as "Half-Tau Day", not "Pi Day".  He writes, "τ is a natural choice of notation because it references the typographical appearance of π, has etymological ties to one "turn", and minimizes conflicts with present usage. Indeed, based on these arguments (put forward by me and by Peter Harremoës), Bob Palais himself has thrown his support behind τ."

As supporting evidence Dr. Hartl points to many formulas, like the Gaussian distribution, Fourier Transform, and, of course, the circumference formula -- all of which contain 2π.  He says that τ is a natural choice because pictographically it looks like a π with a leg missing.

Constants are constants, but given the typical uses of τ, Hartl's wild attack on Pi and boosting of τ a π-like constant may seem bizarre, almost disturbing.  He does raise some valid points.  But is τ the best number?  What about good old "Omicron"?  After all, it's seldom used -- and it's shaped like a circle!  How perfect. [For the record, I, the writer, claim authorship of this humble suggestion.]

But even if we were to embrace τ, or ο perhaps, engineers and mathematicians will likely find π as useful or more so in many cases.  After all, it's a lot easier to write Area_circle= πrthan Area_circle = τr2/2.  And that, one could suppose, is cause enough for some Pi Day celebration even if the beloved constant is developing a bit of a rival of late.



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Bout time....
By dj LiTh on 3/14/2011 3:33:51 PM , Rating: 5
I never thought i'd be able to say this... but here goes...

Nerds!




RE: Bout time....
By spread on 3/14/11, Rating: -1
RE: Bout time....
By phxfreddy on 3/14/11, Rating: 0
RE: Bout time....
By seraphim1982 on 3/14/2011 4:50:58 PM , Rating: 2
And April 20th is 4:20 aka 420, aka PoT smoking day


RE: Bout time....
By kleinma on 3/14/2011 5:51:35 PM , Rating: 2
Isn't everyday 4/20 to pot smokers?


RE: Bout time....
By Samus on 3/14/2011 10:20:08 PM , Rating: 4
I've been high for eight years...


RE: Bout time....
By Alexvrb on 3/14/11, Rating: 0
RE: Bout time....
By GuinnessKMF on 3/15/2011 11:38:32 AM , Rating: 1
Don't forget Star Wars day.

May the Fourth be with you.


RE: Bout time....
By Veerappan on 3/18/2011 7:49:55 PM , Rating: 2
Best birthday, ever :)


RE: Bout time....
By Divineburner on 3/14/2011 5:22:29 PM , Rating: 4
The chance of success is extremely low. This is more or less nitpicking, with no actual reason to switch from pi to tau. Instead of defining pi = C/D, we can just as well define pi = 2r. There're not much difference there.

Even more absurd discrepancies between traditional view and modern view have been found, with no major correction applied to them. For e.g., the flow of conventional current vs the flow of electrons.


RE: Bout time....
By walk2k on 3/14/2011 8:25:22 PM , Rating: 1
pi = 3

there I just saved you goobers a buttload of trouble memorizing a bunch of useless numbers.

you're welcome.

now as thanks maybe one of you brainiacs could come up with a 2-liter soda bottle that doesn't go FLAT after 2 days HMM??


RE: Bout time....
By spread on 3/15/2011 12:23:48 AM , Rating: 2
quote:
pi = 3 there I just saved you goobers a buttload of trouble memorizing a bunch of useless numbers.


Ya'll so fancy with your workin hands. Some of us aint got 3 fingers to count on mister.


RE: Bout time....
By tastyratz on 3/15/2011 11:29:17 AM , Rating: 2
RE: Bout time....
By GuinnessKMF on 3/15/2011 11:41:07 AM , Rating: 3
... they did, it's called two 1-liter soda bottles.

If those don't last long enough for you, you can buy cans.


RE: Bout time....
By Suntan on 3/15/2011 3:45:15 PM , Rating: 2
quote:
pi = 3

there I just saved you goobers a buttload of trouble memorizing a bunch of useless numbers.


Reminds me of the time I was trying to help a younger engineer figure out if he was even close to correct with something he was working on. I suggested he estimate what a close approximation should be for the results he should get.

One aspect of the problem he was working on involved getting the surface area of the inside of a cylinder so I started by telling him to roughly measure the inside diameter across the pipe, measure the length and then multiple those with the number 3 to get a rough idea of the internal surface area… He was stumped at first, then blown away by how much easier it was to do on the spot…

Some people can’t see the forest through the trees.

-Suntan


Oh noes...!!!
By PeaJay on 3/14/2011 3:31:11 PM , Rating: 5
First, Pluto and now Pi?

Say it ain't so, Joe!!!

Scientists with nothing better to do than frack with stuff I've already learned and put into the vault.




RE: Oh noes...!!!
By spread on 3/15/2011 12:24:51 AM , Rating: 3
quote:
Scientists with nothing better to do than frack with stuff I've already learned and put into the vault.


I propose we stop scientific progress. Think of the money we'll save on textbooks.


RE: Oh noes...!!!
By Targon on 3/15/2011 12:39:07 AM , Rating: 2
The big thing is that there is nothing being done here that CHANGES anything. It would be like making a new unit of measurement called a doubleinch that is twice as long as a regular inch. Now, since the doubleinch is fairly useless in itself, there is no point to such a thing.

If Pi were more accurately defined by switching to base 37 math, then some sort of constant to indicate that it is a base 37 derived number would make sense, and it would see adoption and acceptance.


RE: Oh noes...!!!
By spread on 3/15/2011 1:42:41 AM , Rating: 2
Math should be as simple and beautiful as we can make it. If this revision does that, it's worthwhile.

Also, Pluto is no longer a planet. Should we fight against that too? Because we're afraid of change?


RE: Oh noes...!!!
By vortmax2 on 3/15/2011 9:16:00 AM , Rating: 2
It's not change in and of itself that is scary, but changing definitions.


RE: Oh noes...!!!
By Suntan on 3/15/2011 3:49:14 PM , Rating: 3
quote:
Math should be as simple and beautiful as we can make it.


Next you’ll be telling me that kids shouldn’t play sports in gym because they shouldn’t have to face the harsh realities of losing…

News flash, math is a tool to be used. Only people that plan to live forever in academia (and most likely wear the same worn out, dark blue sweater *all year long*) view it as an end onto itself.

-Suntan


Really!
By chris2618 on 3/14/2011 4:53:34 PM , Rating: 3
first what about all the pi jokes which just won't work with tau.

Secondly apart from the 2(pi)r i dont really use formulas with 2pi in them, most just have pi on its own so would just add unnecessary quotients to already large equation.

Thirdly i don't even use 2(pi)r as most of the time you measure diameter




RE: Really!
By geddarkstorm on 3/14/2011 5:20:54 PM , Rating: 2
Fourthly, the unit circle and radians are based on pi. Tau would mess with all that trigonometry math; not irrevocably, or course, as it's just 2pi, but it'd still be annoying to change.


RE: Really!
By Jeremy87 on 3/14/2011 7:37:08 PM , Rating: 2
Tau would make them easier, as a full cycle in pretty much everything (including radians and trigonometry) is 2pi, which could be replaced by tau.


RE: Really!
By SoCalBoomer on 3/15/2011 2:47:13 PM , Rating: 2
you should read the article referenced - the amount of confusion that comes with pi and that would be eliminated with tau. . .

try reading it - it's really quite good.


RE: Really!
By SoCalBoomer on 3/15/2011 2:49:34 PM , Rating: 2
Timing
By rabbitslayer21 on 3/14/2011 3:38:47 PM , Rating: 5
Posted at 3:14 pm, not too shabby! I'm assuming you started writing this piece at 1:59:26.53, of course.

OT: Tau notation does make more sense, as it's used in my studies of chronobiology and other fields. The traditional notation is far too entrenched in the literature IMHO, and it'll likely go the way of the metric system in the US.




RE: Timing
By bennyg on 3/15/2011 11:39:30 PM , Rating: 2
There's a difference between changing an established system to achieve something meaningful, like changing imperial lb/ft/in/pint/oz/etc to metric "Everything Base10".

I think multiplying Pi by 2 fails the meaningfulness test. Plus the cost is that multiplication is a far less complicated concept than fractions and division. Won't someone please think of all the children who will screw up Tau/2*r^2.

This whole thing smells of some glory seeking mediawhoring going on. I purposefully won't remember whoever's name as a result.


Celebration News!
By Azethoth on 3/14/2011 9:45:03 PM , Rating: 2
Do not forget to celebrate all year related events a year later because our years are 1 based and not 0 based.

So for instance you would have celebrated the millennium in 2001 by yourself in your mom's basement instead of in 2000 with everyone else.




RE: Celebration News!
By acer905 on 3/15/2011 12:17:25 PM , Rating: 2
If you want to be that picky, what about the fact that our current dating system has no concrete basis. It has an assumed origin that was established in what we consider the mid 6th century and based on the assumed birth of Jesus. However, upon modern reflection, the two events do not correlate. Therefore, whether you celebrated in 2000 or 2001, you were still celebrating 2000 years after nothing important happened, so both are equally valid.


RE: Celebration News!
By sviola on 3/15/2011 2:39:02 PM , Rating: 2
Actually, the calendar western countries use is the gregorian calendar, created by Gregorian XIII in the 16th century to replace the julian calendar (which was created by Julius Ceaser in 46 bc).


making use of an education....
By Integral9 on 3/14/2011 4:25:33 PM , Rating: 2
thanks for that *valuable* contribution to the fields of mathematics and engineering. Without your relentless efforts toiling away in the hot sun, applying sunblock and sailing your yacht around the bay; your half-baked idea might actually make sense...




So....
By The Raven on 3/14/2011 4:39:20 PM , Rating: 2
quote:
but Michael Hartl, Ph.D thinks of it as something quite different -- two pi.

http://xkcd.com/487/
So much for making the Pi with two backs...
We'll just call it Tau now?




Mmmmm
By SlyNine on 3/14/2011 4:50:20 PM , Rating: 2
Mmmm, Pi day, (homer drool).




How the Grinch Stole PI Day...
By judasmachine on 3/14/2011 5:40:01 PM , Rating: 2
Way to be a Grinch there sir. How long was this being held onto, so it could be printed today? :p




6/28 means nothing to us
By bennyg on 3/16/2011 12:16:58 AM , Rating: 2
Here in parts of the world where we write dates properly, and there's no 14th or 28th month, where do WE fit Tau day?

We currently celebrate Pi day on approximately the 22nd of July ;p




This argument is a FAIL
By rdhir on 3/16/2011 1:50:42 PM , Rating: 2
sorry but the problem I have with Tau is the forumla

e^ipi = -1

That is the constant e raised to the power of (i (imaginary) times pi) = -1

That would have to be written as e^itau/2 = -1
which is just not nearly so elegant. When I found that result, imaginary numbers and the constant e started to make sense.




Same Thing
By xCross on 3/15/2011 7:05:37 AM , Rating: 1
Its the same thing whether we say DT or DailyTech, right?

You may want to work with the ratio of circumference and radius or the ratio of circumference and diameter. But does it make any difference?

What we really need to change is the unit of time. Yeah, even I know it is kind of weird but 60 seconds = 1 minute, 60 minutes = 1 hour makes life more complicated. We should use 100 seconds = 1hour, 100 hour = 1day etc. But that's not so easy to change it anyway unlike changing from Foot-Pound to Meter-Kilogram.




Area of a Circle
By adiposity on 3/15/2011 8:38:16 PM , Rating: 1
quote:
After all, it's a lot easier to write Area_circle= pr2 than Area_circle = tr2/2.


If you read the tau manifesto, it does address this issue.

http://tauday.com/

On the other hand, the number of locations where using tau is superior vastly outweigh this one formula of area, which only is simpler through a coincidence that the integral of x is 1/2x^2.

So in the rare case that the formula you plug-in to has a 1/2, using pi is (barely) easier.

In any more complex use, pi is almost universally worse...particularly in trigonometry.

Pi = 1/2 turn of a circle, but Tau = 1 turn. So 3/4 of the way around a circle is 3/4 Tau, but 3/2 Pi, etc.

As an analog, a period of a trig function is usually 2Pi, but is just Tau.

So, in trig you are frequently mentally doubling fractions to make them work with pi, and while you do get good at it after a while, it's just an extra step.

Compare this to just learning a different formula for the area of a circle (and making it look like lots of other formulas derived using Calculus), and it pales in comparison.




This is just dumb
By sxr7171 on 3/14/11, Rating: -1
"My sex life is pretty good" -- Steve Jobs' random musings during the 2010 D8 conference














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