Mathematics and the Golden Ratio



The great pyramids in Egypt were thought to have been planned and built on the “Golden Ratio” and it’s relation to phi.

Phi lends itself to stable construction with the interesting mathematical property of it’s square being one more than itself i.e. Φ + 1 = Φ^2

In the form of a right triangle we get a solid foundation pictured as:


http://s0.goldennumber.net/wp-content/uploads/Golden-Triangle-Pythagorus.gif

When placed back to back the resulting pyramid has a base of 2 with a height of 1.272(which is Sqrt[Φ]) allowing a ratio of .636 between the base and the height of the pyramid. This ratio is significant in that the great pyramid exhibits this ratio in it’s design. Evidence to the fact that this is not happy happenstance is that the slope angle is not near any of the easy splits of right triangles e.g.( 30˚, 45˚, or 90˚)


Title Page
Stability

Construction Part 1: Moving the Blocks
Construction Part 2: Lifting the Blocks
Bibliography