The technique is extraordinary in that it employs a royal parade of three successive Phi constructions that ultimately converge on the same ratio attained by the well known equation: Phi Squared/5 = Pi/6. One can only hope to come close.Ĭhristopher Ricci has recently discovered an elegant method which comes about as close as it gets. Hence, the decimal values of pi are infinite, and since it is not possible to construct the square root of an infinite number, it is therefore “impossible” to square the circle with exact precision. In other words, it cannot be calculated as the root of a polynomial equation with rational coeffecients. The task was finally “proven impossible” in 1882 when Lindemann showed that pi was a transcendental number. They have included mathematicians, architects, politicians, artists, musicians, philosophers, astronomers and theologians. Some of the greatest men in all of history have attempted to solve this ancient riddle. Squaring the Circle comes within four decimal places using the Golden Ratio.Įven before the foundations of the Great Pyramids were laid men have tried to “square the circle.” That is, in a finite number of steps, construct a square and a circle that are precisely equal in area using only the most primitive instruments namely, an unmarked compass & straightedge.
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