Spatial Spectrum Spiritual Geometry

The geometry of network conductivities for self-dual response matrix:

is based by alternation on Golden ratio divine proportion for the regular polygons...

Let then the inverse of the diagonal lower corner entry of the inverse matrix is a ratio of two determinants, given by continued fraction: is the response of the network Spiderweb with conductivities a,b and c.

Therefore, for example for the Fibonacci number... and the corner entry of the inverse of the matrix tends to with the size of the matrix tending to infinity...

The eigenvalues of the matrix minus identity are purely imaginary and, since the determinant is the product of eigenvalues of a matrix:

Exercise: prove that for the pentagon picture above: and generalize to regular polygons...