meh. it makes sense but while you're at it we might as well switch to an octal or hexadecimal numeral system... and well hell i'm sure there are bunch more conventions that could be "corrected"
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Anonymous2010-07-10 15:17
I understand this guy's argument but I don't see the immense need to overload tau like he does.
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Anonymous2010-07-10 15:29
>>3
What do you mean by overload, like that tau is already used for other things?
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Anonymous2010-07-10 16:40
Does anyone here understand the purpose for pi?
Pi isn't about circles, it's about correcting the general flaw within mathematics.
Like mathematics itself, pi is just another construct that supports the original construct OF mathematics.
This way, we don't have to start from scratch...which is probably what is necessary.
From my point of view, mathematics is flawed because of "cookie-cutting" values. While there are similarities, if only these are counted, what about the differences/distinctions? Those are left out entirely. Compiled through geometric accumulation leads to a general fault...such as what causes pi to become a required add-on for mathematics.
:/
:/
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Anonymous2010-07-10 16:47
>>4
More or less. I personally have no control over this sort of thing and would see no reason to object to it (hand in hand with having no reason to promote it).
One argument that I was demonstrated early was that pi is the curve distance of a hemisphere with 1 radius and 2 diameter. To walk around the hemisphere from 0 (start) to 180 (end) degrees, you walk pi units; to walk in a straight line between those same points ("start" to "end") you walk 2 units. Can this be rephrased without implying a "half-tau?"
>>6
There's nothing wrong with using ½τ, as long as it's less common than 2π.
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Anonymous2010-07-11 9:37
This... makes a lot of sense, actually.
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Anonymous2010-07-12 23:39
It's cute about the radian measure relating to obvious fractions of the circle. I don't know why I never just looked at such a drawing and saw the radian measures as relating to fractions of a semicircle, given that I already knew that pi radians is a semicircle's worth. Oh well, forest and trees I guess.
I'll disagree with his "nothing to memorize" assertion on the special values. You don't memorize them for angle-radian conversion, which is trivial. You memorize them because they have convenient exact values for the trigonometric functions.
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Anonymous2010-07-14 4:52
>>11
what? >>12
yeah but they dont make intuitive sense
>>31
Actually, I may have been talking out of my ass.
Even with redefinition, pi radians = tau/2 radians ~ 3.14 radians
Since the numerical values don't change, the functions don't change. I should have thought more before posting
:S
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Anonymous2010-12-23 14:01
that did seem to make sense
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Anonymous2010-12-25 17:49
Yep. From now on I'm using tau.
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Anonymous2010-12-25 20:55
The only convincing arguement I can see is for making it easier to recognize what arc segment represents what fraction of a circle, but it's only a factor of two, and are mathematicians who can't encompass a factor of two into their mental working surely not in the wrong field?
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Anonymous2011-01-04 18:16
Since I celebrate Yellow Pig Day instead of Pi Day, I support the Tau Manifesto.
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Anonymous2011-01-29 10:50
of course it's not a true circle {constant}, the very nature of the pi dough causes irregularities in the crust which will always run counter to a perfectly smooth line.