This conversation is closed.

## Piece of cake

PI isnt really an infinite quanity.PI is a circular boundary in a two dimensional plane.Very limited within still more limits.

If you were to draw a cirlce and have a 4 year old child trace their finger around the perimeter until they came to the end and got them started it does not take long before they exclaim-there is no end.

This is the type of insght a super computer cannot master yet.It follows the instrucion to find the end of a continuos line endlessly and never reaches a conclusion.

The vexing question I have is whether or not the PI ratio and its infinite non repeating digit quality hold significance outside of the boundary of circular two dimension plane.A commutation of its infinite ratio property outside of its border and dimensional boundaries if you will.

Is there a quick shortcut to what Im looking for on this one?The 4 year couldnt help and neither could the computer.

## Robert Winner

PI are round and cornbread are square.

Kinda sums it up .... Bob.

## Barry Palmer

If you are looking for the significance of pi, this equation might be of interest to you. This link provides a mathematical explanation: http://www.math.toronto.edu/mathnet/questionCorner/epii.html

The number e was developed completely independently of the value of pi. I think this relationship must have come as a big surprise to whoever first discovered it.

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Addition: This equation is known as Euler's Identity:

" http://en.wikipedia.org/wiki/Euler's_identity "

## John Smith

## kev twilliger

How about a circle of one dimension with a particle inside...

http://en.wikipedia.org/wiki/Particle_in_a_ring

## kev twilliger

M+infinity=infinity

Unless its Canadian money :)

## Marcel Venema

I could be wrong but is the answer to your question related to posible orientations of an object?(squared to meet three dimentions)

A computer could be given a set of rules to be able to compute whether or not to trace beyond the point of origin and or accept ROUNDing error to preform as a young human would.(ML)

## Fritzie -

The example John describes below is of a rational number. In his example, one- third is clearly not infinite and yet its decimal representation involves an infinite string of digits.

## John Smith

I have a bachelor in physics and all the uses of pi I've come across are ultimately derived from representing some element of the problem as part of a 2D circle, so I'd say no, pi doesn't have any significance beyond circles.

Numbers like pi don't really bother me, both the radius and circumference of a circle are normal numbers, it's just their ratio is so hard to express, the same is true for the ratio of 9 and 3 (0.33333333333333... ad infinitum). On some deeper level this has more to do with how we see numbers than with any cosmic significance.

## Rhona Pavis

## Rick Ryan

Totally off-the-wall thought, but it is not surprising to me that the super computer would face this dilema. The "instructions" the super computer are using to "solve" the problem are mathematical to begin with...a continuing series of 0's and 1's (binary code) that allow the computer to "think". Those 0's and 1's are going to go into an infinite loop themselves once they return to the starting point of "tracing around the circle".

The difference in the 4-year old is that once the 4-year old gets back to the starting point, he may go, "Huh?" instead of just retracing the circle over and over again.

Like you said...it's a question of insight capability.