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I would like to construct a grid from a matrix. For example, one possible matrix is M1$M1$.

$$M1= \begin{pmatrix} c2 & a1 & a1 & a1 & a1 & a1\\ a2 & b1 & c2 & a1 & a1 & a1\\ a2 & c2 & b2 & a1 & a1 & a1\\ b2 & b2 & c1 & b1 & c2 & a1\\ b2 & c1 & b1 & c2 & b2 & a1\\ a2 & b1 & b1 & a2 & a2 & c2\\ \end{pmatrix} $$

Each element a1, a2, ..., c2$a1, a2, \dots, c2$ is represented graphically as the following.: 6vertex

So I want to represent M1$M1$ as:

enter image description here grid representation

Here, how an element, c2$c2$ fits in the grid is shown as an example.
Is this possible in MathematicaMathematica? Currently, I have no idea even where to begin. Any help will be appreciated!

graphics graphs-and-networks matrix

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asked May 16, 2015 at 2:42

user27430

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Constructing a grid from a matrix

I would like to construct a grid from a matrix. For example, one possible matrix is M1.

$$M1= \begin{pmatrix} c2 & a1 & a1 & a1 & a1 & a1\\ a2 & b1 & c2 & a1 & a1 & a1\\ a2 & c2 & b2 & a1 & a1 & a1\\ b2 & b2 & c1 & b1 & c2 & a1\\ b2 & c1 & b1 & c2 & b2 & a1\\ a2 & b1 & b1 & a2 & a2 & c2\\ \end{pmatrix} $$

Each element a1, a2, ..., c2 is represented graphically as following. 6vertex

So I want to represent M1 as:

enter image description here

Here, how an element, c2 fits in the grid is shown as an example.
Is this possible in Mathematica? Currently, I have no idea even where to begin. Any help will be appreciated!

graphics graphs-and-networks

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Constructing a grid from a matrix