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Pi vs Phi

  •  Φ + 1 = Φ²

This creates a pyramid with a base width of 2 which has a ratio of 0.636 (height to the base)

Pi and Architecture

  • Coincidentally, or not the pyramids have the same ratio which supports the phi relationship
  • it’s possible that both pi and phi as we understand them today could have been the driving factors in the design of the pyramid.

CONNECTIONS

  • One of those slopes just happens to be an excellent approximation to the number 4/pi, and if the architect chooses that slope, then the pyramid would exhibit the famous pi relationship.
  • It then becomes quite reasonable to believe that the relationship between pi and the Great Pyramid is just an accidental consequence of their Mathematics.

Pi and the Pyramids: Coincidence?

  • John Taylor discovered the perimeter of the Pyramid by its height, one obtains a close approximation to 2pi, which is similar to the quotient of circumference of a circle and its radius.
  • Intended to emulate the earth
  • Another statement is that the slope of each face of the Great Pyramid is very close to 4/pi. This relationship is accurate to within 04% or better

Archimedes approx. of pi

Preethi Gopal

  • Archimedes approximated the area of a circle by using the Pythagorean Theorem to find the areas of two regular polygons
  • The actual area of the circle lies between the areas
  • He proved pi was between (3.1408 < π < 3.1429)

Origins of Pi

  • Pi has been known for almost 4000 years
  • The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3
  • One Babylonian tablet indicates a value of 3.125 for pi, which is a closer approximation.
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