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HELP!! 250 points! Algebra 2 required...


Axiom_Nor

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I will give 250 points for the person who can correctly answer this question,

How are tessellations related to Matrices?

 

And source your information, that means you have to link me to the page you got this from.

 

and i don't want you to post if you don't know what they are...

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The Voronoi froth generated from eigenvalues of asymmetric complex random matrices is studied by numerical simulation. It is more regular than the random Voronoi froth (RVF) generated from a Poisson process. The existence of a unique tessellation, called the random matrix Voronoi froth (RMVF), follows from the universality of the distribution of eigenvalues, which is also briefly commented on. The geometrical and topological properties of the RMVF have been characterised. An empirical and accurate distribution function is also proposed for the cell side length of a RVF. Deviations from the Aboav-Weaire law are discussed. Their magnitude may be interpreted as a measure of the departure from an equilibrium structure in the frame of the statistical crystallography theory of Rivier (1985).

http://www.iop.org/EJ/abstract/0305-4470/23/14/025

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Tessellations are generated from polyhedrons, which in turn are created by matrices. Matrices are used to map objects, often 3D. To answer the question simply, The relation is that tessellations are created from complex matrices.

http://en.wikipedia.org/wiki/Eigenvalues

http://www.iop.org/EJ/abstract/0305-4470/23/14/025

http://en.wikipedia.org/wiki/Polyhedron

 

if you slowly break down what was first said, that's how I figured it out. I could be wrong, but I'd ask the teacher if you really didn't know.

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