The Quantum Matrix is the framework organizing space, shape and number. Stargrail's Prime Directive requires an understanding of space at the Quantum level.

Space contains oscillating points which interact with each other. Measuring the minimum interaction of 2 closest points, 1 minimum line can be plotted and the half point determined. When another point interacts to make a triangle, the half point is ideal for making an inner triangle. Once another pont interacts the shape can be a square and/or a tetrahedron.

SERIES OF SPACE - LINE, SPACE - SPACE

Triangle to Line

Triangle to Triangle Space

Square to Line

Square to Square Space

SERIES FROM LINE DEPTH

Two triangles together can be opened to a square space.

The squared function is noted as a raised ², normally it means times itself, arranged as squares. But the number of triangles in an equal triangle have the same number as that of a square. A square shape is the progressive sum of odd numbers.

For example: 3 rows of squares, times 3 columns of squares, equal 9 squares in total. The 9 squares in a 3 Square have 16 intersecting corners.

The squared function has special properties as Fermat's Last Theorem demonstrates. The n function in this Theorem's does not appear to have a whole number solution when n is more than ³.

A FLT table is shown below x is defined as 0 to 22. Values of y² and z² are shown below.

The smallest Pythagorean Triangle is 3²+4²=5². FLT demonstrates when looking at right angled triangles x²+y²=z² has an automatic relationship. The minimum Hypotenuse value of 5 in the Pythagorean Triangle, has a square sum totalling the sum of the other 2 sides.

A triangle does not have a Hypotenuse of less than 5. 

When x is less than 3 and above -3, the Quantum Matrix applies. The Quantum Matrix is the smallest and has 15 triangular matrix's. Graphically displayed below.

1² and 2^-1 have the same number notation.

The First solution in the Quantum Matrix is 0-² +1-²=2-². 

Five tetrahedral frames can also be constructed from the n values.

To understand space further, I have mentally reordered my alphabet to the order of Quantum Stringz and I continue to study number and look for the solution to minimum energy.

© Ant Burr 2005