The parable of squaring the circle

Once upon a time in a place so far away there were two very squared ones.

Literally made of 4 sides and 4 angles.

Tired of their flat existence, they embraced the adventure of reforming his life to the fullness and perfection that the circumference inspired them.

After considering alternatives from all possible sides and angles (only four for both of them by now), finally they took two different and opposite ways.

"What makes us different from the circle are our angles which creates our sides" - argued one square - "So I'm going to get rid of them, one after the other and I'll reach the perfection."

It took a while to decide from which to start, since all are equal, but finally decided.

It immediately became an isosceles triangle.

While it lasted its triangular stage, had to endure the jokes of the other figures easy to have not one but two "legs" and face the bipolar disorders of the hypotenuse, one day proud of her noble discoverer, and other depressed about not getting to be longer than the sum of its two "legs".

Right away, the former square, quickly decided to suppress the residual right angle, making itself a straight line.

The result wasn't satisfactory at all.

True, it could now be proud of being the shortest path between two points, but suddenly found himself without an area to move, only two views on the ends and not an angle of perspective.

It became tired of traveling every day back and forth the same line and day after day was shortening its path, and little by little it ends standing still in the point where it was.

"Eureka!" - Exclaimed

(it must be some memories from its stage of isosceles triangle ...)

"I got the perfection!"

Finally it had no angles or sides.

Without moving it had 360 degree vision.

It was a crossing point for an infinite number of lines and planes.

Extended its influence to the field of literature, where it would always have the last word.

But it soon realized that to achieve this privileged position, had to pay a heavy price.

It resigned his area.

It had lost his own dimension to become a position in space, which exists only as determined by reference to a coordinate system established by others.

... And what happened to the other square in the meantime?

It also came out looking for the same goal, going the other way.

"Being square is not so bad" - it reasoned aloud - "I have angles and sides, but they are the same and will not be a matter of dispute as well this equality remains"

Following its new found mantra, the square decided to increase its angles and sides, obviously following the only criterion that inspires confidence, squared.

"How different the world looks like from 16 angles. Lets see what happens if we repeat the move over and over"

Continuing along this path, reached ever more angles and sides of what could ever imagine and was getting a little closer to achieving the dreamed circularity.

However after increasing more and more its sides and angles, it realized that would never match the perfection of the circle, with all points equidistant from the center and equipped with their own radio tuner.

Assumed that it will never reach the goal this way, nevertheless, it kept following the path initiated.

From one of the many angles of perspective gained, it decided to try to enjoy the journey rather than be frustrated by knowing that it'll never reach the goal.

Like all stories, this one has a moral.

You can write it in the comment area.

4 Replies

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  • This Parable of Squaring the Circle has nothing whatesover to do with the problem of Squaring the Circle. Squaring the Circle does not involve squares. traingle evolving into a circle, but is to do with the impossibilty of constucting a square with the same area of a circle using only a compass and ruler. The underlying mathematics is that some numbers cannot be expressed as a fraction. In particular pi is an irrational number.

    Please don't use mathenmatics when you don't understand it. By the way, the shortest distance bewteen two points is not always a straight line.

    We are all on a journey across a lanscape, called Parkinson's. We have a very poor compass, we don't know the terrain, we don't know where we will end up. But we will help all to travel from here.

  • I endorse the statement of Bunny the octopus "Don't use mathematics as a tool for parkinsons. We are not distinguished by income or academic or athlethic ability or other achievements. We have parkinsons.

    We are the world,we are thepeople,so lets start planing now to ensure to make it a bettter place and the world takes note of Parkinsons 2001

    Ronald

  • Dear travel mates,

    mathematics has very little importance in this short story, not even geometry really matter.

    What really matter is the personal journey, the quest for improving ourselves, the discoveries along the way and the balance when we reach the finish line.

    Does PD make us better persons?

    Does PD change our live somehow for better?

    Does PD define us now?

    I can only hope we will find our own pole star to guide us trough the night.

  • Rather that being frustrated at never reaching the goal...consider changing the goal to one that CAN be reached.

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