Relation between Pi, PHI, The Great Pyramid of Giza and square based pyramid

The mathematical constant Pi (π) appears to have been programmed into The Great Pyramid of Giza with a value of 3.1419. It took around 2000 years for this value to be rediscovered with such precision. To build the Giza Pyramid, Pi and the Golden Ratio Phi were employed to determine its proportions. Since the Great Pyramid is used to find the Pi and Phi values, the other four similar base square pyramids with different dimensions are chosen to identify the criteria needed in investigating the value of Pi and Phi. The Red Pyramid, Pyramid of Cestius, Louvre Pyramid and Luxor Las Vegas Pyramid are used to find and to compare the values of Pi and Phi with the original values. This study identifies whether square base pyramids can be used to find Pi and Phi values. This study investigates the approximate values of Pi and Phi by using any square based pyramid with the Great Pyramid of Giza as a point of reference. The features and the relationship of Pi and Phi of the Great Pyramid of Giza and other square based pyramids are explored. From the dimension of the pyramid, one of the circle formulas is utilized to calculate Pi’s value and the value of Phi is calculated by using the Pythagorean Theorem. Then, the ratio is calculated to be a reference on the measurement of the pyramid to get a value of Pi and Phi with the lesser error compared to the error that is calculated based on the Great Pyramid of Giza. The result demonstrates that the dimensions of Great Giza are the most suitable to have stable and sturdy pyramid. The stability or the relative error of a pyramid can be improved by modifying the dimensions and the values of Pi and Phi of the pyramid. According to our findings, not all square based pyramids can be used to obtain the value of Pi and Phi as the main dimensions of the pyramids are not suitable such as base length, height, and the angle of slanted faces. Further studies in physics and architecture are required to build a stable pyramid, in the real world, that is able to stand on specified geographical structure and also able to withstand the weather of the region.