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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