I think it's a little preposterous to conjecture that the inverse of the fine structure constant is "governed" by the expression N^2+C^2 + ((1+sqrt(5))/2)^(N-C) with N=11 and C=4. You can probably find hundreds more approximations by other arbitrary formula of similar complexity, all lacking in explanatory power of why the formula should look like that.
is the number accurate or not? and minimal aperiodic tilings of the infinite plane are not uninteresting, they are related to turing completeness. whatever. how accurate is it? you tell me.
