# Platonic Connections

Geometry Level pending

The following matrix, $$R$$, represents the connectivity of a solid where $$R_{i,j}$$ determines whether there is a connection (edge) between vertices $$i$$ and $$j$$. ("1" indicates a connection or edge, "0" implies no connection).

$R = \begin{bmatrix} 0 1 1 1 1 1 0 0 0 0 0 0 \\ 1 0 1 0 0 1 1 1 0 0 0 0 \\ 1 1 0 1 0 0 0 1 1 0 0 0 \\ 1 0 1 0 1 0 0 0 1 1 0 0 \\ 1 0 0 1 0 1 0 0 0 1 1 0 \\ 1 1 0 0 1 0 1 0 0 0 1 0 \\ 0 1 0 0 0 1 0 1 0 0 1 1 \\ 0 1 1 0 0 0 1 0 1 0 0 1 \\ 0 0 1 1 0 0 0 1 0 1 0 1 \\ 0 0 0 1 1 0 0 0 1 0 1 1 \\ 0 0 0 0 1 1 1 0 0 1 0 1 \\ 0 0 0 0 0 1 1 1 1 1 1 0 \\ \end{bmatrix}$

What solid does this represent?

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