A scientific paper on magnetite crystal at http://www.pnas.org/content/98/5/2164.full?ck=nck notes that this crystal is a prime candidate for analysis of early life on Mars from meteor evidence. Diagram of magnetite shape is at http://www.pnas.org/content/98/5/2164.full?ck=nck

Magnetite has a cubic crystal structure of an octahedron made of two pyramids base-to-base. What I am wondering is how close the shape of magnetite is to the shape of the Great Pyramid, which has slope of ~51.8667 degrees.

The interesting thing about this slope angle is that it means the great pyramid shape is precisely designed so the octahedron axis = perimeter/pi

It makes me wonder if this is a naturally stable crystal ratio that is also shared by magnetite. Does anyone know?

This ratio means the great pyramid can be seen as an architectural Squaring of the Circle. If we consider the distance from the capstone point to the corresponding octahedron subterranean point below the pyramid as equivalent to the diameter of a circle, and the pyramid perimeter as equivalent to the circumference of the circle, the angle of the pyramid slope means the relation between the top and bottom points of the cubic crystal shape is equal to perimeter divided by pi with error of about 0.02%, from the data I have seen. I like to imagine this point at the base of this octahedron underground below the Great Pyramid is the location of the Emerald Tablets of Thoth. Octahedron crystal is found naturally in magnetite http://en.wikipedia.org/wiki/Magnetite Magnetite is the most magnetic of all the naturally occurring minerals on Earth, and these magnetic properties led to lodestone being used as an early form of magnetic compass. Information on the octahedron is at http://en.wikipedia.org/wiki/Octahedral

Robert Tulip