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I first heard about quasi crystal listening to Edgar Fouche's presentation. In it he talked about what the people at Area 51 were doing with these crystals. By his own admission he doesn't understand what all is being done or what is known, but he states that these crystals were used in the propulsion of the spacecraft recovered at Roswell.

-- The Following is in the words of Ed Fouche from his slide presentation --

To this day I'd be hard pressed to explain to you unique electrical, optical, and physical properties of Quasi Crystals and why so much of the research is classified. Even the unclassified research is funded by agencies like the Department of Energy and the Department of Defense.

Why is the US Department of Energy and Ames Laboratory so vigorously pursuing research with Quasi crystals?
What is the DOE New Initiative in Surface and Interface Properties of Quasi crystals?

A Quote from The DOE:

"Our goal is to understand, and facilitate exploitation of, the special properties of Quasi crystals. These properties include (but are not limited to) low thermal and electrical conductivity, high hardness, low friction, and good oxidation resistance."

That's the unclassified part. What are Quasi crystals?

In 1984 a paper was published which marked the discovery of quasi crystals--Two distinctly different metallic crystals joined symmetrically together.

By 1986 several Top Secret advanced studies were going on funded by DARPA with leading scientists already working in the field.

In classical crystallography a crystal is defined as a three dimensional periodic arrangement of atoms with translational periodicity along its three principal axes.

Since Quasi crystals lose periodicity in at least one dimension, it is not possible to describe them in 3D-space as easily as normal crystal structures. Thus it becomes more difficult to find mathematical formalisms for the interpretation and analysis of diffraction data.

After the 'official' discovery of Quasi crystals in 1984, a close resemblance was noted between the icosahedral quasi crystal and the 3D-Penrose pattern.

Before quasicrystals were discovered in 1984 the British mathematician Roger Penrose devised a way to cover a plane in a nonperiodic fashion using two different types of tiles. An simple example of 3D tiling can be seen on the SLIDE.

The tiles are arranged in a way that they obey certain matching rules. This is called a 3D-Penrose Tiling, which is made up of rhombohedrons instead of the rhombi.

A dozen years later, ?Penrose tiling' became the prototype of very powerful models explaining the structure of the Quasi crystals discovered in rapidly quenched metallic alloys.

Fourteen years of quasi crystal research has established the existence of a wealth of stable and meta-stable Quasi crystals with five-, eight-, ten-, and twelve-fold symmetry, with strange structures and interesting properties. New tools had to be developed for the study and description of these extraordinary materials.

I've discovered that the classified research has shown that Quasi crystals are promising candidates for high energy storage materials, metal matrix components, thermal barriers, exotic coatings, infrared sensors, high power laser applications, and electro magnetics. Some high strength alloys and surgical tools are already on the market.

One of the stories I was told more than once was that one of the crystal pairs used in the propulsion of the Roswell crash was a Hydrogen Crystal. Until recently, creating a Hydrogen crystal was beyond the reach of our scientific capabilities. That has now changed. In one Top Secret Black Program, under the DOE, a method to produce hydrogen crystals was discovered, then manufacturing began in 1994.

The lattice of hydrogen quasi-crystals, and another material not named, formed the basis for the plasma shield propulsion of the Roswell craft and was an integral part of the bio-chemically engineered vehicle. A myriad of advanced crystallography undreamed of by scientists were discovered by the scientists and engineers who evaluated, analyzed, and attempted to reverse engineer the technology presented with the Roswell vehicle and eight more vehicles which have crashed since then.