π ≠ 3.14159...

The Greek symbol π denotes the mathematical constant of pi, which is described as the ratio of a circle's circumference to its diameter (C/D). π = C where D = 1. The first recorded attempts of calculating π were made by the ancient Babylonians. The first widely accepted accurate attempt of calculating π was made by the ancient mathematician Archimedes. He calculated an approximation of π by bounding a circle between two regular polygons. He inscribed one polygon within the circle and circumscribed another outside of it, then calculated the perimeter of each. Since he assumed that the circle's circumference is between the two polygons' perimeters, this provided a lower and upper bound for π. He started with hexagons and progressively doubled the number of sides to 12, 24, 48, and finally 96, finding that pi was approximately between 3.1408 to 3.1428. The purpose of this paper is twofold. First, it disproves the notion that increasing the number of sides for the inscribed polygon results in the arrival of its increasing perimeter to the exact value of the circumference of the circle. Second, it disproves the assumption that the circumference of the circle never exceeds the perimeter of the circumscribed polygon as the number of its sides increases. This would prove that the currently accepted value of 3.14159... whose digits are derived from the perimeter of the inscribed polygon and is between the bounds is not the true value of π.